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The discovery of topological phases in condensed matter systems has changed the modern conception of phases of matter.
K. v. Klitzing, G. Dorda, and M. Pepper, “New method for high-accuracy determination of the fine-structure constant based on quantized hall resistance,” Phys. Rev. Lett. 45
1980
Earlier work this paper cites.
D. C. Tsui, H. L. Stormer, and A. C. Gossard, “Two-dimensional magnetotransport in the extreme quantum limit,” Phys. Rev. Lett. 48
1982
Earlier work this paper cites.
R. Feynman, “Simulating physics with computers,” Int. J. of Th. Phys. 21
1982
Earlier work this paper cites.
D. J. Thouless, M. Kohmoto, M. P. Nightingale, and M. den Nijs, “Quantized hall conductance in a two-dimensional periodic potential,” Phys. Rev. Lett. 49
1982
Earlier work this paper cites.
M. Berry, “Quantal phase factors accompanying adiabatic changes,” Proc. R. Soc. Lond. A 392
1984
Earlier work this paper cites.
F. D. M. Haldane, “Model for a quantum hall effect without landau levels: Condensed-matter realization of the "parity anomaly",” Phys. Rev. Lett. 61
1988
Earlier work this paper cites.
F. Wilczek and A. Shapere, Geometric Phases in Physics (World Scientific, 1989)
1989
Earlier work this paper cites.
Xiao-Gang Wen, Quantum Field Theory of Many-body systems (Oxford, 2004)
2004
Earlier work this paper cites.
S. Das Sarma, M. Freedman, and C. Nayak, “Topological quantum computing,” Physics Today xx
2006
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.
P. J. Leek, J.M Fink, A. Blais, R. Bianchetti, M. Göppl, J. M. Gambetta, D. I. Schuster, L. Frunzio, R. J. Schoelkopf, and A. Wallraff, “Observation of berry’s phase in a solid-state qubit,” Science 318
2007
Cited alongside, same era.
I. Buluta and F. Nori, “Quantum simulators,” Science 326
2009
Cited alongside, same era.
M. Neeley, M. Ansmann, R. C. Bialczak, M. Hofheinz, E. Lucero, A. D. O’Connell, D. Sank, H. Wang, J. Wenner, A. N. Cleland, M. R. Geller, and J. M. Martinis, “Emulation of a quantum spin with a superconducting phase qudit,” Science 325
2009
Cited alongside, same era.
M. Z. Hasan and C. L. Kane, “Colloquium: Topological insulators,” Rev. Mod. Phys. 82
2010
Cited alongside, same era.
J.E. Moore, “The birth of topological insulators,” Nature 464
2010
Cited alongside, same era.
N. Goldman, J. Dalibard, A. Dauphin, F. Gerbier, M. Lewenstein, P. Zoller, and I. B. Spielman, “Direct imaging of topological edge states in cold-atom systems,” PNAS 110
2013
Later among the works it cites.
B. A. Bernevig and T. L. Hughes, Topological Insulators and Topological Superconductors (Princeton University Press, 2013)
2013
Later among the works it cites.
M Atala, M. Aidelsburger, J. T. Barreiro, D. Abanin, T. Kitagawa, E. Demler, and I. Bloch, “Direct measurement of the zak phase in topological bloch bands,” Nature Physics 9
2013
Later among the works it cites.
R. Barends, J. Kelly, A. Megrant, D. Sank, E. Jeffrey, Y. Chen, Y. Yin, B. Chiaro, J. Mutus, C. Neill, P. O’Malley, P. Roushan, J. Wenner, T. C. White, A. N. Cleland, and John M. Martinis, “Coherent josephson qubit suitable for scalable quantum integrated circuits,” Phys. Rev. Lett. 111
2013
Later among the works it cites.
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E. Alba, X. Fernandez-Gonzalvo, J. Mur-Petit, J. K. Pachos, and J. J. Garcia-Ripoll, “Seeing topological order in time-of-flight measurements,” Phys. Rev. Lett. 107
2011
Cited alongside, same era.
M. Mariantoni, H. Wang, T. Yamamoto, M. Neeley, R. Bialczak, Y. Chen, M. Lenander, E. Lucero, A. O’Connell, D Sank, et al. , “Implementing the quantum von neumann architecture with superconducting circuits,” Science 334
2011
Cited alongside, same era.
V. Gritsev and A. Polkovnikov, “Dynamical quantum hall effect in the parameter space,” PNAS 109
2012
Cited alongside, same era.
A. A. Houck, H. E. Tureci, and J. Koch, “On-chip quantum simulation with superconducting circuits,” Nature Physics 8
2012
Cited alongside, same era.
This form of the Gauss’s law in which the Berry curvature is treated as a 3-vector is only valid in a three-dimensional parameter space. Generalization of this logic to higher-dimensional manifolds remains work in progress
Cited in the paper.
See supplementary materials and methods
Cited in the paper.
M. Geller, E. Donate, Y. Chen, C. Neill, P. Roushan, and J. M. Martinis, “Qubit architecture with high coherence and fast tunable coupling,” in preparation (2014)
2014
Closest in time.
2014
Closest in time.
M. Schroer, W. Kindel, M. Kolodrubetz, M. Sandberg, M. Vissers, M. Pappas, A. Polkovnikov, and K. Lehnert, submitted (2014)
2014
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C. Xu, A. Poudel, and M. G. Vavilov, “Nonadiabatic dynamics of a slowly driven dissipative two-level system,” Phys. Rev. A 89
2014
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A. Polkovnikov, unpublished (2014)
2014
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