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Recent work suggests that a sharp definition of `phase of matter' can be given for periodically driven `Floquet' quantum systems exhibiting many-body localization.
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F. Wilczek, Phys. Rev. Lett. 109
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M. Thakurathi, A. A. Patel, D. Sen, and A. Dutta, Phys. Rev. B 88
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D. A. Huse, R. Nandkishore, V. Oganesyan, A. Pal, and S. L. Sondhi, Phys. Rev. B 88
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A. Lazarides, A. Das, and R. Moessner, Phys. Rev. E 90
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D. Abanin, W. De Roeck, and F. Huveneers, arXiv preprint arXiv:1412.4752 (2014)
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D. A. Huse, R. Nandkishore, and V. Oganesyan, Phys. Rev. B 90
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P. Ponte, Z. Papić, F. Huveneers, and D. A. Abanin, Phys. Rev. Lett. 114
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A. C. Potter and A. Vishwanath, arXiv preprint arXiv:1506.00592 (2015)
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M. Serbyn, Z. Papić, and D. A. Abanin, Phys. Rev. Lett. 110
Cited in the paper.
M. Serbyn, Z. Papić, and D. A. Abanin, Phys. Rev. Lett. 111
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Commuting stabilizer unitaries are unitaries with an extensive number of local conserved quantities. See Sec. II
Cited in the paper.
C. W. von Keyserlingk, S. L. Sondhi, and R. Moessner, in preparation
Cited in the paper.
E. H. Lieb and D. W. Robinson, Communications in Mathematical Physics 28
Cited in the paper.
z z gives rise to a unitary automorphism of irreducible representation space corresponding to χ \chi , so by Schur’s lemma acts like a phase e i θ 1 e^{i\theta}1
Cited in the paper.
Private communication
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H. Watanabe and M. Oshikawa, Phys. Rev. Lett. 114
2015
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C. W. von Keyserlingk and S. L. Sondhi, ArXiv e-prints (2016), arXiv:1602.02157 [cond-mat.str-el]
2016
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D. V. Else and C. Nayak, ArXiv e-prints (2016), arXiv:1602.04804 [cond-mat.str-el]
2016
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2016
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R. Roy and F. Harper, ArXiv e-prints (2016), arXiv:1602.08089 [cond-mat.str-el]
2016
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