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The current understanding of the role of topology in non-Hermitian (NH) systems and its far-reaching physical consequences observable in a range of dissipative settings are reviewed.
1901
Earlier work this paper cites.
1911
Earlier work this paper cites.
Schomerus, H (2013), “Topologically protected midgap states in complex photonic lattices,” Opt. Lett. 38
1912
Earlier work this paper cites.
1912
Earlier work this paper cites.
Breit, G, and E. Wigner (1936), “Capture of Slow Neutrons,” Phys. Rev. 49
1936
Earlier work this paper cites.
Majorana, E (1931a), “Sulla formazione dello ione molecolare di elio,” Il Nuovo Cimento (1924-1942) 8
1942
Earlier work this paper cites.
Majorana, E (1931b), “Teoria dei tripletti P’ Incompleti,” Il Nuovo Cimento (1924-1942) 8
1942
Earlier work this paper cites.
Feshbach, H, C. E. Porter, and V. F. Weisskopf (1954), “Model for Nuclear Reactions with Neutrons,” Phys. Rev. 96
1954
Earlier work this paper cites.
Pancharatnam, S (1955), “The propagation of light in absorbing biaxial crystals — I. Theoretical,” Proc. Indian Acad. Sci. - Sect. A 42
1955
Earlier work this paper cites.
Feshbach, H (1958), “Unified theory of nuclear reactions,” Ann. Phys. 5
1958
Earlier work this paper cites.
Fano, U (1961), “Effects of Configuration Interaction on Intensities and Phase Shifts,” Phys. Rev. 124
1961
Earlier work this paper cites.
Feynman, R P, and F. L. Vernon (1963), “The theory of a general quantum system interacting with a linear dissipative system,” Ann. Phys. 24
1963
Earlier work this paper cites.
Keldysh, L V (1965), “Diagram Technique for Nonequilibrium Processes,” Soviet Physics JETP 20
1965
Earlier work this paper cites.
Kato, T (1966), Perturbation theory of linear operators , edited by Andrea Cappelli and Giuseppe Mussardo (Springer, Berlin)
1966
Earlier work this paper cites.
Lindblad, G (1976), “On the generators of quantum dynamical semigroups,” Commun. Math. Phys. 48
1976
Earlier work this paper cites.
Carmichael, H (2014), An Open Systems Approach to Quantum Optics Lectures Presented at the Université Libre de Bruxelles, October 28 to November 4, 1991 (Springer Berlin)
1991
Earlier work this paper cites.
Aharonov, Y, L. Davidovich, and N. Zagury (1993), “Quantum random walks,” Phys. Rev. A 48
1993
Earlier work this paper cites.
Krause, G M (1994), “Bounds for the variation of matrix eigenvalues and polynomial roots,” Lin. Algebra Appl. 208-209
1994
Earlier work this paper cites.
Srednicki, M (1994), “Chaos and quantum thermalization,” Phys. Rev. E 50
1994
Earlier work this paper cites.
Knight, J C, N. Dubreuil, V. Sandoghdar, J. Hare, V. Lefèvre-Seguin, J. M. Raimond, and S. Haroche (1995), “Mapping whispering-gallery modes in microspheres with a near-field probe,” Opt. Lett. 20
1995
Earlier work this paper cites.
Davis, K M, K. Miura, N. Sugimoto, and K. Hirao (1996), “Writing waveguides in glass with a femtosecond laser,” Opt. Lett. 21
1996
Earlier work this paper cites.
Gorodetsky, M L, A. A. Savchenkov, and V. S. Ilchenko (1996), “Ultimate Q of optical microsphere resonators,” in Proceedings of SPIE - The International Society for Optical Engineering , Vol. 2799, pp. 389–391
1996
Earlier work this paper cites.
Hatano, N, and D. R. Nelson (1996), “Localization Transitions in Non-Hermitian Quantum Mechanics,” Phys. Rev. Lett. 77
1996
Earlier work this paper cites.
Altland, A, and M. R. Zirnbauer (1997), “Nonstandard symmetry classes in mesoscopic normal-superconducting hybrid structures,” Phys. Rev. B 55
1997
Earlier work this paper cites.
Brouwer, P W, P. G. Silvestrov, and C. W. J. Beenakker (1997), “Theory of directed localization in one dimension,” Phys. Rev. B 56
1997
Earlier work this paper cites.
Hatano, N, and D. R. Nelson (1997), “Vortex pinning and non-Hermitian quantum mechanics,” Phys. Rev. B 56
1997
Earlier work this paper cites.
Lefèvre-Seguin, V, and S. Haroche (1997), “Towards cavity-QED experiments with silica microspheres,” Mater. Sci. Eng. B 48
1997
Earlier work this paper cites.
Bender, C M, and S. Boettcher (1998), “Real spectra in non-hermitian hamiltonians having PT symmetry,” Phys. Rev. Lett. 80
1998
Earlier work this paper cites.
Nelson, D R, and N. M. Shnerb (1998), “Non-Hermitian localization and population biology,” Phys. Rev. E 58
1998
Earlier work this paper cites.
Silvestrov, P (1998), “Localization in an imaginary vector potential,” Phys. Rev. B 58
1998
Earlier work this paper cites.
Lu, W, M. Rose, K. Pance, and S. Sridhar (1999), “Quantum resonances and decay of a chaotic fractal repeller observed using microwaves,” Phys. Rev. Lett. 82
1999
Earlier work this paper cites.
Silvestrov, PG (1999), “Vortices in a superconducting cylinder: Edge effects in the depinned phase,” Phys. Rev. Lett. 82
1999
Earlier work this paper cites.
Lubensky, D K, and D. R. Nelson (2000), “Pulling Pinned Polymers and Unzipping DNA,” Phys. Rev. Lett. 85
2000
Earlier work this paper cites.
Pance, K, W. Lu, and S. Sridhar (2000), “Quantum fingerprints of classical ruelle-pollicott resonances,” Phys. Rev. Lett. 85
2000
Earlier work this paper cites.
Bernard, D, and A. LeClair (2002), “A Classification of Non-Hermitian Random Matrices,” in Statistical Field Theories , edited by Andrea Cappelli and Giuseppe Mussardo (Springer Netherlands, Dordrecht) pp. 207–214
2002
Earlier work this paper cites.
Breuer, H-P, and F. Petruccione (2002), The theory of open quantum systems (Oxford University Press)
2002
Earlier work this paper cites.
Mostafazadeh, A (2002), “Pseudo-Hermiticity versus PT symmetry: The necessary condition for the reality of the spectrum of a non-Hermitian Hamiltonian,” J. Math. Phys. 43
2002
Earlier work this paper cites.
Ryu, S, and Y. Hatsugai (2002), “Topological Origin of Zero-Energy Edge States in Particle-Hole Symmetric Systems,” Phys. Rev. Lett. 89
2002
Earlier work this paper cites.
Christodoulides, D N, F. Lederer, and Y. Silberberg (2003), “Discretizing light behaviour in linear and nonlinear waveguide lattices,” Nature 424
2003
Earlier work this paper cites.
Vahala, K J (2003), “Optical microcavities,” Nature 424
2003
Earlier work this paper cites.
Berry, M V (2004), “Physics of Nonhermitian Degeneracies,” Czech. J. Phys. 54
2004
Earlier work this paper cites.
Datta, S (2005), Quantum Transport: Atom to Transistor , Vol. 9780521631 (Cambridge University Press)
2005
Earlier work this paper cites.
Kulishov, M, J. M. Laniel, N. Bélanger, J. Azaña, and D. V. Plant (2005), “Nonreciprocal waveguide Bragg gratings,” Opt. Express 13
2005
Earlier work this paper cites.
Ryan, C A, M. Laforest, J. C. Boileau, and R. Laflamme (2005), “Experimental implementation of a discrete-time quantum random walk on an NMR quantum-information processor,” Phys. Rev. A 72
2005
Earlier work this paper cites.
Bender, C M (2007), “Making sense of non-Hermitian Hamiltonians,” Rep. Prog. Phys. 70
2007
Earlier work this paper cites.
2007
Earlier work this paper cites.
Diehl, S, A. Micheli, A. Kantian, B. Kraus, H. P. Büchler, and P. Zoller (2008), “Quantum states and phases in driven open quantum systems with cold atoms,” Nat. Phys. 4
2008
Earlier work this paper cites.
Haldane, F D M, and S. Raghu (2008), “Possible realization of directional optical waveguides in photonic crystals with broken time-reversal symmetry,” Phys. Rev. Lett. 100
2008
Earlier work this paper cites.
Joannopoulos, J D, S. G. Johnson, J. N. Winn, and R. D. Meade (2008), Photonic Crystals: Molding the Flow of Light (Princeton University Press, Princeton, NJ)
2008
Earlier work this paper cites.
Raghu, S, and F. D. M. Haldane (2008), “Analogs of quantum-Hall-effect edge states in photonic crystals,” Phys. Rev. A 78
2008
Earlier work this paper cites.
Schnyder, A P, S. Ryu, A. Furusaki, and A. W. W. Ludwig (2008), “Classification of topological insulators and superconductors in three spatial dimensions,” Phys. Rev. B 78
2008
Earlier work this paper cites.
Wang, Z, Y. D. Chong, J. D. Joannopoulos, and M. Soljačić (2008), “Reflection-free one-way edge modes in a gyromagnetic photonic crystal,” Phys. Rev. Lett. 100
2008
Earlier work this paper cites.
Guo, A, G. J. Salamo, D. Duchesne, R. Morandotti, M. Volatier-Ravat, V. Aimez, G. A. Siviloglou, and D. N. Christodoulides (2009), “Observation of PT-symmetry breaking in complex optical potentials,” Phys. Rev. Lett. 103
2009
Earlier work this paper cites.
Karski, M, L. Förster, J. M. Choi, A. Steffen, W. Alt, D. Meschede, and A. Widera (2009), “Quantum Walk in Position Space with Single Optically Trapped Atoms,” Science 325
2009
Earlier work this paper cites.
Kitaev, A, V. Lebedev, and M. Feigel’man (2009), “Periodic table for topological insulators and superconductors,” in AIP Conference Proceedings , Vol. 1134 (AIP) pp. 22–30
2009
Earlier work this paper cites.
Longhi, S (2009), “Quantum-optical analogies using photonic structures,” Laser Photonics Rev. 3
2009
Earlier work this paper cites.
Prodan, E, and C. Prodan (2009), “Topological phonon modes and their role in dynamic instability of microtubules,” Phys. Rev. Lett. 103
2009
Earlier work this paper cites.
Rotter, I (2009), “A non-Hermitian Hamilton operator and the physics of open quantum systems,” J. Phys. A: Math. Theor. 42
2009
Earlier work this paper cites.
Rudner, M S, and L. S. Levitov (2009), “Topological transition in a non-hermitian quantum walk,” Phys. Rev. Lett. 102
2009
Earlier work this paper cites.
Schmitz, H, R. Matjeschk, Ch. Schneider, J. Glueckert, M. Enderlein, T. Huber, and T. Schaetz (2009), “Quantum walk of a trapped ion in phase space,” Phys. Rev. Lett. 103
2009
Earlier work this paper cites.
Verstraete, F, M. M. Wolf, and J. I. Cirac (2009), “Quantum computation and quantum-state engineering driven by dissipation,” Nat. Phys. 5
2009
Earlier work this paper cites.
Broome, M A, A. Fedrizzi, B. P. Lanyon, I. Kassal, A. Aspuru-Guzik, and A. G. White (2010), “Discrete single-photon quantum walks with tunable decoherence,” Phys. Rev. Lett. 104
2010
Earlier work this paper cites.
Eisert, J, and T. Prosen (2010), “Noise-driven quantum criticality,” arXiv e-prints arXiv:1012.5013
2010
Earlier work this paper cites.
Hasan, M Z, and C. L. Kane (2010), “Colloquium: Topological insulators,” Rev. Mod. Phys. 82
2010
Earlier work this paper cites.
Kitagawa, T, M. S. Rudner, E. Berg, and E. Demler (2010), “Exploring topological phases with quantum walks,” Phys. Rev. A 82
2010
Earlier work this paper cites.
Prosen, T (2010), “Spectral theorem for the Lindblad equation for quadratic open fermionic systems,” J. Stat. Mech.: Theor. Exp. 2010
2010
Earlier work this paper cites.
Roncaglia, M, M. Rizzi, and J. I. Cirac (2010), “Pfaffian state generation by strong three-body dissipation,” Phys. Rev. Lett. 104
2010
Earlier work this paper cites.
Ryu, S, A. P. Schnyder, A. Furusaki, and A. W. W. Ludwig (2010), “Topological insulators and superconductors: tenfold way and dimensional hierarchy,” New J. Phys. 12
2010
Earlier work this paper cites.
Schreiber, A, K. N. Cassemiro, V. Potoček, A. Gábris, P. J. Mosley, E. Andersson, I. Jex, and Ch Silberhorn (2010), “Photons walking the line: A quantum walk with adjustable coin operations,” Phys. Rev. Lett. 104
2010
Earlier work this paper cites.
Szameit, A, and S. Nolte (2010), “Discrete optics in femtosecond-laserwritten photonic structures,” J. Phys. B 43
2010
Earlier work this paper cites.
Zähringer, F, G. Kirchmair, R. Gerritsma, E. Solano, R. Blatt, and C. F. Roos (2010), “Realization of a quantum walk with one and two trapped ions,” Phys. Rev. Lett. 104
2010
Earlier work this paper cites.
Diehl, S, E. Rico, M. A. Baranov, and P. Zoller (2011), “Topology by dissipation in atomic quantum wires,” Nat. Phys. 7
2011
Earlier work this paper cites.
Esaki, K, M. Sato, K. Hasebe, and M. Kohmoto (2011), “Edge states and topological phases in non-Hermitian systems,” Phys. Rev. B 84
2011
Earlier work this paper cites.
Fu, L (2011), “Topological Crystalline Insulators,” Phys. Rev. Lett. 106
2011
Earlier work this paper cites.
Hu, Y C, and T. L. Hughes (2011), “Absence of topological insulator phases in non-Hermitian PT-symmetric Hamiltonians,” Phys. Rev. B 84
2011
Earlier work this paper cites.
Lin, Z, H. Ramezani, T. Eichelkraut, T. Kottos, H. Cao, and D. N. Christodoulides (2011), “Unidirectional Invisibility Induced by PT-Symmetric Periodic Structures,” Phys. Rev. Lett. 106
2011
Earlier work this paper cites.
Longhi, S (2011), “Invisibility in PT-symmetric complex crystals,” J. Phys. A: Math. Theor. 44
2011
Earlier work this paper cites.
Qi, X-L, and S.-C. Zhang (2011), “Topological insulators and superconductors,” Rev. Mod. Phys. 83
2011
Earlier work this paper cites.
Szameit, A, M. C. Rechtsman, O. Bahat-Treidel, and M. Segev (2011), “PT-symmetry in honeycomb photonic lattices,” Phys. Rev. A 84
2011
Earlier work this paper cites.
Asbóth, J K (2012), “Symmetries, topological phases, and bound states in the one-dimensional quantum walk,” Phys. Rev. B 86
2012
Earlier work this paper cites.
Demange, G, and E.-M. Graefe (2012), “Signatures of three coalescing eigenfunctions,” J. Phys. A: Math. Theor. 45
2012
Earlier work this paper cites.
Heiss, W D (2012), “The physics of exceptional points,” J. Phys. A: Math. Theor. 45
2012
Earlier work this paper cites.
Jones, H F (2012), “Analytic results for a PT-symmetric optical structure,” J. Phys. A: Math. Theor. 45
2012
Earlier work this paper cites.
Kitagawa, T, M. A. Broome, A. Fedrizzi, M. S. Rudner, E. Berg, I. Kassal, A. Aspuru-Guzik, E. Demler, and A. G. White (2012), “Observation of topologically protected bound states in photonic quantum walks,” Nat. Commun. 3
2012
Earlier work this paper cites.
Pikulin, D I, and Yu. V. Nazarov (2012), “Topological properties of superconducting junctions,” JETP Letters 94
2012
Earlier work this paper cites.
Potzuweit, A, T. Weich, S. Barkhofen, U. Kuhl, H. J. Stöckmann, and M. Zworski (2012), “Weyl asymptotics: From closed to open systems,” Phys. Rev. E 86
2012
Earlier work this paper cites.
Regensburger, A, C. Bersch, M.-A. Miri, G. Onishchukov, D. N. Christodoulides, and U. Peschel (2012), “Parity–time synthetic photonic lattices,” Nature 488
2012
Earlier work this paper cites.
Sato, M, K. Hasebe, K. Esaki, and M. Kohmoto (2012), “Time-Reversal Symmetry in Non-Hermitian Systems,” Prog. Theor. Phys. 127
2012
Earlier work this paper cites.
Bardyn, C-E, M. A. Baranov, C. V. Kraus, E. Rico, A. Imamoglu, P. Zoller, and S. Diehl (2013), “Topology by dissipation,” New J. Phys. 15
2013
Earlier work this paper cites.
Barkhofen, S, T. Weich, A. Potzuweit, H. J. Stöckmann, U. Kuhl, and M. Zworski (2013), “Experimental observation of the spectral gap in microwave n-disk systems,” Phys. Rev. Lett. 110
2013
Earlier work this paper cites.
Barnett, R (2013), “Edge-state instabilities of bosons in a topological band,” Phys. Rev. A 88
2013
Earlier work this paper cites.
Budich, J C, and B. Trauzettel (2013), “From the adiabatic theorem of quantum mechanics to topological states of matter,” Rap. Res. Lett. 7
2013
Earlier work this paper cites.
Chen, X, Z.-C. Gu, Z.-X. Liu, and X.-G. Wen (2013), “Symmetry protected topological orders and the group cohomology of their symmetry group,” Phys. Rev. B 87
2013
Earlier work this paper cites.
Feng, L, Y. L. Xu, W. S. Fegadolli, M. H. Lu, J. E. B. Oliveira, V. R. Almeida, Y. F. Chen, and A. Scherer (2013), “Experimental demonstration of a unidirectional reflectionless parity-time metamaterial at optical frequencies,” Nat. Mater. 12
2013
Cited alongside, same era.
Lu, L, L. Fu, J. D. Joannopoulos, and M. Soljacic (2013), “Weyl points and line nodes in gyroid photonic crystals,” Nat. Photonics 7
2013
Cited alongside, same era.
Miri, M A, M. Heinrich, R. El-Ganainy, and D. N. Christodoulides (2013), “Supersymmetric optical structures,” Phys. Rev. Lett. 110
2013
Cited alongside, same era.
Pikulin, D I, and Yu. V. Nazarov (2013), “Two types of topological transitions in finite Majorana wires,” Phys. Rev. B 87
2013
Cited alongside, same era.
Rechtsman, M C, J. M. Zeuner, Y. Plotnik, Y. Lumer, D. Podolsky, F. Dreisow, S. Nolte, M. Segev, and A. Szameit (2013), “Photonic Floquet topological insulators,” Nature 496
Yao, S, F. Song, and Z. Wang (2018), “Non-Hermitian Chern Bands,” Phys. Rev. Lett. 121
2018
Later among the works it cites.
Yao, S, and Z. Wang (2018), “Edge States and Topological Invariants of Non-Hermitian Systems,” Phys. Rev. Lett. 121
2018
Later among the works it cites.
Yin, C, H. Jiang, L. Li, R. Lü, and S. Chen (2018), “Geometrical meaning of winding number and its characterization of topological phases in one-dimensional chiral non-Hermitian systems,” Phys. Rev. A 97
2018
Later among the works it cites.
Yoshida, T, R. Peters, and N. Kawakami (2018), “Non-Hermitian perspective of the band structure in heavy-fermion systems,” Phys. Rev. B 98
2018
Later among the works it cites.
Yuce, C (2018), “Edge states at the interface of non-Hermitian systems,” Phys. Rev. A 97
2018
Later among the works it cites.
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2013
Cited alongside, same era.
Shindou, R, R. Matsumoto, S. Murakami, and J. I. Ohe (2013), “Topological chiral magnonic edge mode in a magnonic crystal,” Phys. Rev. B 87
2013
Cited alongside, same era.
Brody, D C (2014), “Biorthogonal quantum mechanics,” J. Phys. A: Math. Theor. 47
2014
Cited alongside, same era.
Chen, B G G, N. Upadhyaya, and V. Vitelli (2014), “Nonlinear conduction via solitons in a topological mechanical insulator,” Proc. Natl. Acad. Sci. USA 111
2014
Cited alongside, same era.
Feng, L, Z. J. Wong, R.-M. Ma, Y. Wang, and X. Zhang (2014), “Single-mode laser by parity-time symmetry breaking,” Science 346
2014
Cited alongside, same era.
Heinrich, M, M.-A. Miri, S. Stützer, R. El-Ganainy, S. Nolte, A. Szameit, and D. N. Christodoulides (2014), “Supersymmetric mode converters,” Nat. Commun. 5
2014
Cited alongside, same era.
Hodaei, H, M.-A. Miri, M. Heinrich, D. N. Christodoulides, and M. Khajavikhan (2014), “Parity-time-symmetric microring lasers,” Science 346
2014
Cited alongside, same era.
Kane, C L, and T. C. Lubensky (2014), “Topological boundary modes in isostatic lattices,” Nat. Phys. 10
2014
Cited alongside, same era.
Zhao, H, P. Miao, M. H. Teimourpour, S. Malzard, R. El-Ganainy, H. Schomerus, and L. Feng (2018), “Topological hybrid silicon microlasers,” Nat. Commun. 9
2018
Later among the works it cites.
Zhou, H, C. Peng, Y. Yoon, C. W. Hsu, K. A. Nelson, L. Fu, J. D. Joannopoulos, S. Marin, and B. Zhen (2018), “Observation of bulk Fermi arc and polarization half charge from paired exceptional points,” Science 359
2018
Later among the works it cites.
Zhu, W, X. Fang, D. Li, Y. Sun, Y. Li, Y. Jing, and H. Chen (2018), “Simultaneous Observation of a Topological Edge State and Exceptional Point in an Open and Non-Hermitian Acoustic System,” Phys. Rev. Lett. 121
2018
Later among the works it cites.
Zyuzin, A A, and A. Y. Zyuzin (2018), “Flat band in disorder-driven non-Hermitian Weyl semimetals,” Phys. Rev. B 97
2018
Later among the works it cites.
Avila, J, F. Peñaranda, E. Prada, P. San-Jose, and R. Aguado (2019), “Non-hermitian topology as a unifying framework for the Andreev versus Majorana states controversy,” Commun. Phys. 2
2019
Closest in time.
Bergholtz, E J, and J. C. Budich (2019), “Non-Hermitian Weyl physics in topological insulator ferromagnet junctions,” Phys. Rev. Research 1
2019
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Biesenthal, T, M. Kremer, M. Heinrich, and A. Szameit (2019), “Experimental Realization of PT-Symmetric Flat Bands,” Phys. Rev. Lett. 123
2019
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Bliokh, K Y, D. Leykam, M. Lein, and F. Nori (2019), “Topological non-Hermitian origin of surface Maxwell waves,” Nat. Commun. 10
2019
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Brandenbourger, M, X. Locsin, E. Lerner, and C. Coulais (2019), “Non-reciprocal robotic metamaterials,” Nat. Commun. 10
2019
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Brzezicki, W, and T. Hyart (2019), “Hidden Chern number in one-dimensional non-Hermitian chiral-symmetric systems,” Phys. Rev. B 100
2019
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Budich, J C, J. Carlström, F. K. Kunst, and E. J. Bergholtz (2019), “Symmetry-protected nodal phases in non-Hermitian systems,” Phys. Rev. B 99
2019
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Carlström, J, M. Stålhammar, J. C. Budich, and E. J. Bergholtz (2019), “Knotted non-Hermitian metals,” Phys. Rev. B 99
2019
Closest in time.
Cerjan, A, S. Huang, M. Wang, K. P. Chen, Y. Chong, and M. C. Rechtsman (2019), “Experimental realization of a Weyl exceptional ring,” Nat. Phot. 13
2019
Closest in time.
De Nittis, G, and K. Gomi (2019), “On the K-theoretic classification of dynamically stable systems,” Rev. Math. Phys. 31
2019
Closest in time.
Deng, T S, and W. Yi (2019), “Non-Bloch topological invariants in a non-Hermitian domain wall system,” Phys. Rev. B 100
2019
Closest in time.
Edvardsson, E, F. K. Kunst, and E. J. Bergholtz (2019), “Non-Hermitian extensions of higher-order topological phases and their biorthogonal bulk-boundary correspondence,” Phys. Rev. B 99
2019
Closest in time.
El Hassan, A, F. K. Kunst, A. Moritz, G. Andler, E. J. Bergholtz, and M. Bourennane (2019), “Corner states of light in photonic waveguides,” Nat. Phot. 13
2019
Closest in time.
Foa Torres, L E F (2019), “Perspective on topological states of non-Hermitian lattices,” J. Phys.: Mater. 3
2019
Closest in time.
Goldstein, M (2019), “Dissipation-induced topological insulators: A no-go theorem and a recipe,” SciPost Phys. 7
2019
Closest in time.
Hatano, N (2019), “Exceptional points of the Lindblad operator of a two-level system,” Mol. Phys. 117
2019
Closest in time.
Höckendorf, B, A. Alvermann, and H. Fehske (2019), “Non-Hermitian Boundary State Engineering in Anomalous Floquet Topological Insulators,” Phys. Rev. Lett. 123
2019
Closest in time.
Hofmann, T, T. Helbig, C. H. Lee, M. Greiter, and R. Thomale (2019), “Chiral Voltage Propagation and Calibration in a Topolectrical Chern Circuit,” Phys. Rev. Lett. 122
2019
Closest in time.
Imura, K-I, and Y. Takane (2019), “Generalized bulk-edge correspondence for non-hermitian topological systems,” Phys. Rev. B 100
2019
Closest in time.
Kimura, K, T. Yoshida, and N. Kawakami (2019), “Chiral-symmetry protected exceptional torus in correlated nodal-line semimetals,” Phys. Rev. B 100
2019
Closest in time.
Kremer, M, T. Biesenthal, L. J. Maczewsky, M. Heinrich, R. Thomale, and A. Szameit (2019), “Demonstration of a two-dimensional PT -symmetric crystal,” Nat. Commun. 10
2019
Closest in time.
Kunst, F K, and V. Dwivedi (2019), “Non-Hermitian systems and topology: A transfer-matrix perspective,” Phys. Rev. B 99
2019
Closest in time.
Lee, C H, and R. Thomale (2019), “Anatomy of skin modes and topology in non-Hermitian systems,” Phys. Rev. B 99
2019
Closest in time.
Li, L, C. H. Lee, and J. Gong (2019), “Emergence and full 3D-imaging of nodal boundary Seifert surfaces in 4D topological matter,” Commun. Phys. 2
2019
Closest in time.
Liu, C H, and S. Chen (2019), “Topological classification of defects in non-Hermitian systems,” Phys. Rev. B 100
2019
Closest in time.
Luitz, D J, and F. Piazza (2019), “Exceptional points and the topology of quantum many-body spectra,” Phys. Rev. Research 1
2019
Closest in time.
Luo, X-W, and C. Zhang (2019), “Higher-Order Topological Corner States Induced by Gain and Loss,” Phys. Rev. Lett. 123
2019
Closest in time.
McClarty, P A, and J. G. Rau (2019), “Non-Hermitian topology of spontaneous magnon decay,” Phys. Rev. B 100
2019
Closest in time.
Miri, M A, and A. Alù (2019), “Exceptional points in optics and photonics,” Science 363
2019
Closest in time.
Moors, K, A. A. Zyuzin, A. Y. Zyuzin, R. P. Tiwari, and T. L. Schmidt (2019), “Disorder-driven exceptional lines and Fermi ribbons in tilted nodal-line semimetals,” Phys. Rev. B 99
2019
Closest in time.
Okugawa, R, and T. Yokoyama (2019), “Topological exceptional surfaces in non-Hermitian systems with parity-time and parity-particle-hole symmetries,” Phys. Rev. B 99
2019
Closest in time.
Ozawa, T, H. M. Price, A. Amo, N. Goldman, M. Hafezi, L. Lu, M. C. Rechtsman, D. Schuster, J. Simon, O. Zilberberg, and I. Carusotto (2019), “Topological photonics,” Rev. Mod. Phys. 91
2019
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Özdemir, Ş K, and R. El-Ganainy (2019), “Topological lattices lit at the corners,” Nat. Phot. 13
2019
Closest in time.
Özdemir, Ş K, S. Rotter, F. Nori, and L. Yang (2019), “Parity–time symmetry and exceptional points in photonics,” Nat. Mater. 18
2019
Closest in time.
Porras, D, and S. Fernández-Lorenzo (2019), “Topological amplification in photonic lattices,” Phys. Rev. Lett. 122
2019
Closest in time.
Rosendo López, M, Z. Zhang, D. Torrent, and J. Christensen (2019), “Multiple scattering theory of non-Hermitian sonic second-order topological insulators,” Commun. Phys. 2
2019
Closest in time.
Stålhammar, M, L. Rødland, G. Arone, J. C. Budich, and E. J. Bergholtz (2019), “Hyperbolic Nodal Band Structures and Knot Invariants,” SciPost Phys. 7
2019
Closest in time.
Wang, Y X, and A. A. Clerk (2019), “Non-Hermitian dynamics without dissipation in quantum systems,” Phys. Rev. A 99
2019
Closest in time.
Wu, J, W. W. Zhang, and B. C. Sanders (2019), “Topological quantum walks: Theory and experiments,” Front. Phys. 14
2019
Closest in time.
Yang, Z, and J. Hu (2019), “Non-Hermitian Hopf-link exceptional line semimetals,” Phys. Rev. B 99
2019
Closest in time.
Yokomizo, K, and S. Murakami (2019), “Non-Bloch Band Theory of Non-Hermitian Systems,” Phys. Rev. Lett. 123
2019
Closest in time.
Yoshida, T, and Y. Hatsugai (2019), “Exceptional rings protected by emergent symmetry for mechanical systems,” Phys. Rev. B 100
2019
Closest in time.
Zhao, H, X. Qiao, T. Wu, B. Midya, S. Longhi, and L. Feng (2019), “Non-Hermitian topological light steering,” Science 365
2019
Closest in time.
Zhou, H, and J. Y. Lee (2019), “Periodic table for topological bands with non-Hermitian symmetries,” Phys. Rev. B 99
2019
Closest in time.
Zyuzin, A A, and P. Simon (2019), “Disorder-induced exceptional points and nodal lines in Dirac superconductors,” Phys. Rev. B 99
2019
Closest in time.
Borgnia, D S, A. J. Kruchkov, and R.-J. Slager (2020), “Non-Hermitian Boundary Modes and Topology,” Phys. Rev. Lett. 124
2020
Closest in time.
Budich, J C, and E. J. Bergholtz (2020), “Non-Hermitian Topological Sensors,” Phys. Rev. Lett. 125
2020
Closest in time.
Carlström, J (2020), “Correlations in non-Hermitian systems and Diagram techniques for the steady state,” Phys. Rev. Research 2
2020
Closest in time.
Comaron, P, V. Shahnazaryan, W. Brzezicki, T. Hyart, and M. Matuszewski (2020), “Non-Hermitian topological end-mode lasing in polariton systems,” Phys. Rev. Research 2
2020
Closest in time.
Edvardsson, E, F. K. Kunst, T. Yoshida, and E. J. Bergholtz (2020), “Phase transitions and generalized biorthogonal polarization in non-Hermitian systems,” Phys. Rev. Research 2
2020
Closest in time.
Ghatak, A, M. Brandenbourger, J. van Wezel, and C. Coulais (2020), “Observation of non-Hermitian topology and its bulk-edge correspondence in an active mechanical metamaterial,” Proc. Natl. Acad. Sci. USA 117
2020
Closest in time.
Hanai, R, and P. B. Littlewood (2020), “Critical fluctuations at a many-body exceptional point,” Phys. Rev. Research 2
2020
Closest in time.
Helbig, T, T. Hofmann, S. Imhof, M. Abdelghany, T. Kiessling, L. W. Molenkamp, C. H. Lee, A. Szameit, M. Greiter, and R. Thomale (2020), “Generalized bulk-boundary correspondence in non-Hermitian topolectrical circuits,” Nat. Phys. 16
2020
Closest in time.
Höckendorf, B, A. Alvermann, and H. Fehske (2020), “Topological origin of quantized transport in non-Hermitian Floquet chains,” Phys. Rev. Research 2
2020
Closest in time.
Hofmann, T, T. Helbig, F. Schindler, N. Salgo, M. Brzezińska, M. Greiter, T. Kiessling, D. Wolf, A. Vollhardt, A. Kabaši, C. H. Lee, A. Bilušić, R. Thomale, and T. Neupert (2020), “Reciprocal skin effect and its realization in a topolectrical circuit,” Phys. Rev. Research 2
2020
Closest in time.
Höller, J, N. Read, and J. G. E. Harris (2020), “Non-Hermitian adiabatic transport in the space of exceptional points,” Phys. Rev. A 102
2020
Closest in time.
Kawabata, K, N. Okuma, and M. Sato (2020), “Non-Bloch band theory of non-Hermitian Hamiltonians in the symplectic class,” Phys. Rev. B 101
2020
Closest in time.
Koch, R, and J. C. Budich (2020), “Bulk-boundary correspondence in non-Hermitian systems: stability analysis for generalized boundary conditions,” Eur. Phys. J. D 74
2020
Closest in time.
Li, L, C. H. Lee, and J. Gong (2020), “Topological Switch for Non-Hermitian Skin Effect in Cold-Atom Systems with Loss,” Phys. Rev. Lett. 124
2020
Closest in time.
Lieu, S, M. McGinley, and N. R. Cooper (2020), “Tenfold Way for Quadratic Lindbladians,” Phys. Rev. Lett. 124
2020
Closest in time.
Liu, T, J. J. He, T. Yoshida, Z.-L. Xiang, and F. Nori (2020), “Non-Hermitian topological Mott insulators in one-dimensional fermionic superlattices,” Phys. Rev. B 102
2020
Closest in time.
Matsumoto, N, K. Kawabata, Y. Ashida, S. Furukawa, and M. Ueda (2020), “Continuous Phase Transition without Gap Closing in Non-Hermitian Quantum Many-Body Systems,” Phys. Rev. Lett. 125
2020
Closest in time.
Michishita, Y, and R. Peters (2020), “Equivalence of Effective Non-Hermitian Hamiltonians in the Context of Open Quantum Systems and Strongly Correlated Electron Systems,” Phys. Rev. Lett. 124
2020
Closest in time.
Michishita, Y, T. Yoshida, and R. Peters (2020), “Relationship between exceptional points and the Kondo effect in f-electron materials,” Phys. Rev. B 101
2020
Closest in time.
Mu, S, C. H. Lee, L. Li, and J. Gong (2020), “Emergent Fermi surface in a many-body non-Hermitian Fermionic chain,” Phys. Rev. B 102
2020
Closest in time.
Okuma, N, K. Kawabata, K. Shiozaki, and M. Sato (2020), “Topological Origin of Non-Hermitian Skin Effects,” Phys. Rev. Lett. 124
2020
Closest in time.
Rosa, M I N, and M. Ruzzene (2020), “Dynamics and topology of non-Hermitian elastic lattices with non-local feedback control interactions,” New J. Phys. 22
2020
Closest in time.
Schomerus, H (2020), “Nonreciprocal response theory of nonhermitian mechanical metamaterials: response phase transition from the skin effect of zero modes,” Phys. Rev. Research 2
2020
Closest in time.
Shackleton, H, and M. S. Scheurer (2020), “Protection of parity-time symmetry in topological many-body systems: non-Hermitian toric code and fracton models,” Phys. Rev. Research 2
2020
Closest in time.
Silberstein, N, J. Behrends, M. Goldstein, and R. Ilan (2020), “Berry connection induced anomalous wave-packet dynamics in non-Hermitian systems,” Phys. Rev. B 102
2020
Closest in time.
Terrier, F, and F. K. Kunst (2020), “Dissipative analog of four-dimensional quantum Hall physics,” Phys. Rev. Research 2
2020
Closest in time.
Tonielli, F, J. C. Budich, A. Altland, and S. Diehl (2020), “Topological Field Theory far from Equilibrium,” Phys. Rev. Lett. 124
2020
Closest in time.
Wang, H, Y. H. Lai, Z. Yuan, M. G. Suh, and K. Vahala (2020), “Petermann-factor sensitivity limit near an exceptional point in a Brillouin ring laser gyroscope,” Nat. Commun. 11
2020
Closest in time.
Wanjura, C C, M. Brunelli, and A. Nunnenkamp (2020), “Topological framework for directional amplification in driven-dissipative cavity arrays,” Nat. Commun. 11
2020
Closest in time.
Weidemann, S, M. Kremer, T. Helbig, T. Hofmann, A. Stegmaier, M. Greiter, R. Thomale, and A. Szameit (2020), “Topological funneling of light,” Science 368
2020
Closest in time.
Wojcik, C C, X.-Q. Sun, T. Bzdušek, and S. Fan (2020), “Homotopy characterization of non-Hermitian Hamiltonians,” Phys. Rev. B 101
2020
Closest in time.
Xiao, L, T. Deng, K. Wang, G. Zhu, Z. Wang, W. Yi, and P. Xue (2020), “Non-Hermitian bulk-boundary correspondence in quantum dynamics,” Nat. Phys. 16
2020
Closest in time.
Zhang, K, Z. Yang, and C. Fang (2020), “Correspondence between Winding Numbers and Skin Modes in Non-Hermitian Systems,” Phys. Rev. Lett. 125
2020
Closest in time.
Zhang, X-X, and M. Franz (2020), “Non-Hermitian Exceptional Landau Quantization in Electric Circuits,” Phys. Rev. Lett. 124
2020
Closest in time.
Zhou, D, and J. Zhang (2020), “Non-Hermitian Topological Metamaterials with Odd Elasticity,” Phys. Rev. Research 2
2020
Closest in time.
Kushwaha, M S, P. Halevi, L. Dobrzynski, and B. Djafari-Rouhani (1993), “Acoustic band structure of periodic elastic composites,” Phys. Rev. Lett. 71
2025
Closest in time.
Deutsch, J M (1991), “Quantum statistical mechanics in a closed system,” Phys. Rev. A 43
2049
Closest in time.
Berry, M V, and D. H. J. O’Dell (1998), “Diffraction by volume gratings with imaginary potentials,” J. Phys. A: Math. Gen. 31
2093
Closest in time.
Su, W P, J. R. Schrieffer, and A. J. Heeger (1980), “Soliton excitations in polyacetylene,” Phys. Rev. B 22
2099
Closest in time.