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Models based on non-Hermitian Hamiltonians can exhibit a range of surprising and potentially useful phenomena.
Topologically protected midgap states in complex photonic lattices
Schomerus, H · 1912
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Solitons in polyacetylene
Su, W. P., Schrieffer, J. R. & Heeger, A. J · 1979
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Pseudo-hermiticity versus pt symmetry: The necessary condition for the reality of the spectrum of a non-hermitian hamiltonian
Mostafazadeh, A · 2002
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Computable measure of entanglement
Vidal, G. & Werner, R. F · 2002
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Pseudo-hermiticity versus pt-symmetry. ii. a complete characterization of non-hermitian hamiltonians with a real spectrum
Mostafazadeh, A · 2002
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Pseudo-hermiticity versus pt-symmetry iii: Equivalence of pseudo-hermiticity and the presence of antilinear symmetries
Mostafazadeh, A · 2002
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Quantum Noise: A Handbook of Markovian and Non-Markovian Quantum Stochastic Methods with Applications to Quantum Optics
Gardiner, C. & Zoller, P · 2004
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Squeezing as an irreducible resource
Braunstein, S. L · 2005
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Logarithmic negativity: A full entanglement monotone that is not convex
Plenio, M. B · 2005
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Quantum information with continuous variables
Braunstein, S. L. & Loock, P. v · 2005
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On the observability and asymmetry of adiabatic state flips generated by exceptional points
Uzdin, R., Mailybaev, A. & Moiseyev, N · 2011
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Slow non-hermitian cycling: exact solutions and the stokes phenomenon
Berry, M. V. & Uzdin, R · 2011
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Unidirectional invisibility induced by 𝒫 𝒯 \mathcal{P}\mathcal{T} -symmetric periodic structures
Lin, Z. et al · 2011
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Signatures of three coalescing eigenfunctions
Demange, G. & Graefe, E.-M · 2011
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Evading quantum mechanics: Engineering a classical subsystem within a quantum environment
Tsang, M. & Caves, C. M · 2012
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Time-asymmetric quantum-state-exchange mechanism
Gilary, I., Mailybaev, A. A. & Moiseyev, N · 2013
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Discussion of the adiabatic hypothesis in control schemes using exceptional points
Leclerc, A., Jolicard, G. & Killingbeck, J. P · 2013
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Breakdown of adiabatic transfer of light in waveguides in the presence of absorption
Graefe, E.-M., Mailybaev, A. A. & Moiseyev, N · 2013
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Observation of pt phase transition in a simple mechanical system
Bender, C. M., Berntson, B. K., Parker, D. & Samuel, E · 2013
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Two-mode back-action-evading measurements in cavity optomechanics
Woolley, M. J. & Clerk, A. A · 2013
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Edge-state instabilities of bosons in a topological band
Barnett, R · 2013
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Topological chiral magnonic edge mode in a magnonic crystal
Shindou, R., Matsumoto, R., Murakami, S. & Ohe, J.-i · 2013
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Reservoir-engineered entanglement in optomechanical systems
Wang, Y.-D. & Clerk, A. A · 2013
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Robust photon entanglement via quantum interference in optomechanical interfaces
Tian, L · 2013
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Almost quantum adiabatic dynamics and generalized time-dependent wave operators
Viennot, D · 2014
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Enhancing the sensitivity of frequency and energy splitting detection by using exceptional points: Application to microcavity sensors for single-particle detection
Quantum back-action-evading measurement of motion in a negative mass reference frame
Møller, C. B. et al · 2017
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Topologically protected bound states in photonic parity鈥搕ime-symmetric crystals
Weimann, S. et al · 2017
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High-order exceptional points in optomechanics
Jing, H., Özdemir, Ş. K., Lü, H. & Nori, F · 2017
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Enhanced sensitivity at higher-order exceptional points
Hodaei, H. et al · 2017
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Non-hermitian physics and pt symmetry
El-Ganainy, R. et al · 2018
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Dynamically Encircling Exceptional Points: In situ Control of Encircling Loops and the Role of the Starting Point
Zhang, X.-L., Wang, S., Hou, B. & Chan, C. T · 2018
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Wiersig, J · 2014
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General description of quasiadiabatic dynamical phenomena near exceptional points
Milburn, T. J. et al · 2015
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Heisenberg-limited qubit read-out with two-mode squeezed light
Didier, N., Kamal, A., Oliver, W. D., Blais, A. & Clerk, A. A · 2015
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Bipartite and tripartite output entanglement in three-mode optomechanical systems
Wang, Y.-D., Chesi, S. & Clerk, A. A · 2015
Cited alongside, same era.
Topological energy transfer in an optomechanical system with exceptional points
Xu, H., Mason, D., Jiang, L. & Harris, J. G. E · 2016
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Dynamically encircling an exceptional point for asymmetric mode switching
Doppler, J. et al · 2016
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𝒫 𝒯 {\mathscr{P}}{\mathscr{T}} -symmetry breaking in the steady state of microscopic gain-loss systems
Kepesidis, K. V. et al · 2016
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Non-hermitian adiabatic transport in the space of exceptional points
Holler, J., Read, N. & Harris, J. G. E · 2018
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Fundamental limits and non-reciprocal approaches in non-hermitian quantum sensing
Lau, H.-K. & Clerk, A. A · 2018
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Quantum noise theory of exceptional point sensors
Zhang, M. et al · 2018
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Phase-dependent chiral transport and effective non-hermitian dynamics in a bosonic kitaev-majorana chain
McDonald, A., Pereg-Barnea, T. & Clerk, A. A · 2018
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Topological symmetry classes for non-hermitian models and connections to the bosonic bogoliubov–de gennes equation
Lieu, S · 2018
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Topological phases of non-hermitian systems
Gong, Z. et al · 2018
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Overcoming the standard quantum limit in gravitational wave detectors using spin systems with a negative effective mass
Khalili, F. Y. & Polzik, E. S · 2018
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Topological phases in the non-hermitian su-schrieffer-heeger model
Lieu, S · 2018
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Symmetry and topology in non-hermitian physics
Kawabata, K., Shiozaki, K., Ueda, M. & Sato, M · 2018
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Topological band theory for non-hermitian hamiltonians
Shen, H., Zhen, B. & Fu, L · 2018
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Observation of bulk Fermi arc and polarization half charge from paired exceptional points
Zhou, H. et al · 2018
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Naghiloo, M., Abaasi, M., Joglekar, Y. N. & Murch, K. W · 2019
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High-efficiency measurement of an artificial atom embedded in a parametric amplifier
Eddins, A. et al · 2019
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Heralded generation and detection of entangled microwave–optical photon pairs
Zhong, C. et al · 2019
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