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Recently, several authors have investigated topological phenomena in periodically-driven systems of non-interacting particles.
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B. I. Halperin, “Quantized Hall conductance, current-carrying edge states, and the existence of extended states in a two-dimensional disordered potential,” Phys. Rev. B 25
1982
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F. D. M. Haldane, “Model for a Quantum Hall Effect without Landau Levels: Condensed-Matter Realization of the Parity Anomaly,” Phys. Rev. Lett. 61
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Q. T. Vu, H. Haug, O. D. Mucke, T. Tritschler, M. Wegener, G. Khitrova, and H. M. Gibbs, “Light-induced gaps in semiconductor band-to-band transitions,” Phys. Rev. Lett. 92
2004
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C. L. Kane, and E. J. Mele, “ Z 2 Z_{2} Topological Order and the Quantum Spin Hall Effect,” Phys. Rev. Lett. 95
2005
Earlier work this paper cites.
B. A. Bernevig, T. L. Hughes, and S.-C. Zhang, “Quantum Spin Hall Effect and Topological Phase Transition in HgTe Quantum Wells,” Science 314
2006
Earlier work this paper cites.
A. Yu. Kitaev, “Anyons in an exactly solved model and beyond,” Annals of Physics 321
2006
Earlier work this paper cites.
M. Koenig, S. Wiedmann, C. Brune, A. Roth, H. Buhmann, L. W. Molenkamp, X.-L. Qi, and S.-C. Zhang, “Quantum spin hall insulator state in HgTe quantum wells,” Science 318
2007
Earlier work this paper cites.
W. Yao, A. H. MacDonald, and Q. Niu, “Optical control of topological quantum transport in semiconductors,” Phys. Rev. Lett. 99
2007
Earlier work this paper cites.
D. Hsieh, D. Qian, L. Wray, Y. Xia, Y. S. Hor, R. J. Cava and M. Z. Hasan, “A topological Dirac insulator in a quantum spin Hall phase,” Nature 452
2008
Earlier work this paper cites.
A. P. Schnyder, S. Ryu, A. Furusaki, and A. W. W. Ludwig, “Classification of topological insulators and superconductors in three spatial dimensions,” Phys. Rev. B 78
2008
Earlier work this paper cites.
A. L. Fetter, “Rotating trapped Bose-Einstein condensates,” Rev. Mod. Phys. 81
2009
Earlier work this paper cites.
T. Oka and H. Aoki, “Photovoltaic Hall effect in graphene,” Phys. Rev. B 79
2009
Cited alongside, same era.
M. S. Rudner and L. S. Levitov, “Topological Transition in a Non-Hermitian Quantum Walk,” Phys. Rev. Lett. 102
2009
Cited alongside, same era.
A. Kitaev, “Periodic table for topological insulators and superconductors,” AIP Conf. Proc. 1134
2009
Cited alongside, same era.
J.-I. Inoue and A. Tanaka, “Photoinduced Transition between Conventional and Topological Insulators in Two-Dimensional Electronic Systems,” Phys. Rev. Lett. 105
2010
Cited alongside, same era.
T. Kitagawa, M. S. Rudner, E. Berg, and E. A. Demler, “Exploring topological phases with quantum walks,” Phys. Rev. A 82
2010
Cited alongside, same era.
2011
Later among the works it cites.
L. Jiang, T. Kitagawa, J. Alicea, A. R. Akhmerov, D. Pekker, G. Refael, J. I. Cirac, E. Demler, M. D. Lukin, and P. Zoller,“Majorana Fermions in Equilibrium and Driven Cold Atom Quantum Wires,” Phys. Rev. Lett. 106
2011
Later among the works it cites.
J. P. Dahlhaus, J. M. Edge, J. Tworzydlo, and C. W. J. Beenakker, “Quantum Hall effect in a one-dimensional dynamical system,” Phys. Rev. B 84
2011
Later among the works it cites.
S. Diehl, E. Rico, M. A. Baranov, and P. Zoller, “Topology by Dissipation in Atomic Quantum Wires,” Nature Physics 7
2011
Later among the works it cites.
E. Suarez Morell and L. E. F. Foa Torres, “Radiation effects on the electronic properties of bilayer graphene,” Phys. Rev. B 86
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T. Kitagawa, E. Berg, M. S. Rudner, and E. A. Demler, “Topological characterization of periodically-driven quantum systems,” Phys. Rev. B 82
2010
Cited alongside, same era.
Z. Wang, X.-L. Qi, and S.-C. Zhang, “Equivalent topological invariants of topological insulators,” New J. Phys. 12
2010
Cited alongside, same era.
J. Dalibard, F. Gerbier, G. Juzeliunas, and P. Ohberg, “Colloquium: Artifical gauge potentials for neutral atoms,” Rev. Mod. Phys. 83
2011
Cited alongside, same era.
N. R. Cooper, “Optical flux lattices for ultracold atomic gases,” Phys. Rev. Lett. 106
2011
Cited alongside, same era.
D. L. Campbell, G. Juzeliunas, and I. B. Spielman, “Realistic Rashba and Dresselhaus spin-orbit coupling for neutral atoms,” Phys. Rev. A 84
2011
Cited alongside, same era.
Y.-J. Lin, K. Jimenez-Garcia, and I. B. Spielman, “Spin–orbit-coupled Bose–Einstein condensates,” Nature 471
2011
Cited alongside, same era.
N. H. Lindner, G. Refael, and V. Galitski, “Floquet Topological Insulator in Semiconductor Quantum Wells,” Nature Physics 7
2011
Cited alongside, same era.
2012
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2012
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B. Dora, J. Cayssol, F. Simon, and R. Moessner, “Optically Engineering the Topological Properties of a Spin Hall Insulator,” Phys. Rev. Lett. 108
2012
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T. Kitagawa, M. A. Broome, A. Fedrizzi, M. S. Rudner, E. Berg, I. Kassal, A. Aspuru-Guzik, E. Demler, and A. G. White, “Observation of topologically protected bound states in photonic quantum walks,” Nature Comm. 3
2012
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J. W. McIver, D. Hsieh, H. Steinberg, P. Jarillo-Herrero, and N. Gedik, “Control over topological insulator photocurrents with light polarization,” Nature Nanotechnology 7
2012
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Y. T. Katan and D. Podolsky, “Modulated Floquet Topological Insulators,” Phys. Rev. Lett. 110
2013
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J. Cayssol, B. Dora, F. Simon, and R. Moessner, “Floquet topological insulators,” Phys. Status Solidi RRL 7
2013
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A. A. Reynoso and D. Frustaglia, “Unpaired Floquet Majorana fermions without magnetic fields,” Phys. Rev. B 87
2013
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M. C. Rechtsman, J. M. Zeuner, Y. Plotnik, Y. Lumer, S. Nolte, M. Segev, and A. Szameit, “Photonic Floquet Topological Insulators,” Nature 496
2013
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