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Dynamics of the Entanglement Zero Modes in the Haldane Model under a Quantum Quench |
Heng-Xi Ji1, Lin-Han Mo1, and Xin Wan1,2* |
1Zhejiang Institute of Modern Physics, Zhejiang University, Hangzhou 310027, China 2CAS Center for Excellence in Topological Quantum Computation, University of Chinese Academy of Sciences, Beijing 100190, China
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Cite this article: |
Heng-Xi Ji, Lin-Han Mo, and Xin Wan 2022 Chin. Phys. Lett. 39 030301 |
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Abstract We investigate evolution of entanglement spectra of the Haldane model for Chern insulators upon a sudden quench within the same topological phase. In particular, we focus on the location of the entanglement spectrum crossing, which signifies the bulk topology. It is shown that the coplanarity condition for the pseudomagnetic field of the model, which can be used to determine the crossing in the equilibrium case, needs to be relaxed. We analytically derive the non-equilibrium condition with the help of an edge-state wave function ansatz and a dynamically induced length-scale cutoff. With spectral analyses, it is realized that the oscillatory behavior of the crossing is dominated by the interband excitations at the van Hove singularities.
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Received: 04 December 2021
Published: 01 March 2022
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PACS: |
03.65.Ud
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(Entanglement and quantum nonlocality)
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03.65.Vf
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(Phases: geometric; dynamic or topological)
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02.40.-k
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(Geometry, differential geometry, and topology)
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[1] | Kinoshita T, Wenger T, and Weiss D S 2006 Nature 440 900 |
[2] | Hofferberth S, Lesanovsky I, Fischer B, Schumm T, and Schmiedmayer J 2007 Nature 449 324 |
[3] | Trotzky S, Chen Y A, Flesch A, McCulloch I P, Schollwöck U, Eisert J, and Bloch I 2012 Nat. Phys. 8 325 |
[4] | Gring M, Kuhnert M, Langen T, Kitagawa T, Rauer B, Schreitl M, Mazets I, Smith D A, Demler E, and Schmiedmayer J 2012 Science 337 1318 |
[5] | Cheneau M, Barmettler P, Poletti D, Endres M, Schauss P, Fukuhara T, Gross C, Bloch I, Kollath C, and Kuhr S 2012 Nature 481 484 |
[6] | Meinert F, Mark M J, Kirilov E, Lauber K, Weinmann P, Daley A J, and Nägerl H C 2013 Phys. Rev. Lett. 111 053003 |
[7] | Langen T, Geiger R, Kuhnert M, Rauer B, and Schmiedmayer J 2013 Nat. Phys. 9 640 |
[8] | Fukuhara T, Kantian A, Endres M, Cheneau M, Schauß P, Hild S, Bellem D, Schollwöck U, Giamarchi T, Gross C, Bloch I, and Kuhr S 2013 Nat. Phys. 9 235 |
[9] | Fukuhara T, Schauß P, Endres M, Hild S, Cheneau M, Bloch I, and Gross C 2013 Nature 502 76 |
[10] | Langen T, Erne S, Geiger R, Rauer B, Schweigler T, Kuhnert M, Rohringer W, Mazets I E, Gasenzer T, and Schmiedmayer J 2015 Science 348 207 |
[11] | Polkovnikov A, Sengupta K, Silva A, and Vengalattore M 2011 Rev. Mod. Phys. 83 863 |
[12] | Gogolin C and Eisert J 2016 Rep. Prog. Phys. 79 056001 |
[13] | Vidmar L and Rigol M 2016 J. Stat. Mech.: Theory Exp. 2016 064007 |
[14] | Essler F H L and Fagotti M 2016 J. Stat. Mech.: Theory Exp. 2016 064002 |
[15] | Calabrese P and Cardy J 2016 J. Stat. Mech.: Theory Exp. 2016 064003 |
[16] | Calabrese P and Cardy J 2005 J. Stat. Mech.: Theory Exp. 2005 P04010 |
[17] | Calabrese P and Cardy J 2006 Phys. Rev. Lett. 96 136801 |
[18] | Li H and Haldane F D M 2008 Phys. Rev. Lett. 101 010504 |
[19] | Thouless D J, Kohmoto M, Nightingale M P, and den Nijs M 1982 Phys. Rev. Lett. 49 405 |
[20] | Hatsugai Y 1993 Phys. Rev. Lett. 71 3697 |
[21] | Swingle B and Senthil T 2012 Phys. Rev. B 86 045117 |
[22] | Qi X L, Katsura H, and Ludwig A W W 2012 Phys. Rev. Lett. 108 196402 |
[23] | Haldane F D M 1988 Phys. Rev. Lett. 61 2015 |
[24] | Caio M D, Cooper N R, and Bhaseen M J 2015 Phys. Rev. Lett. 115 236403 |
[25] | McGinley M and Cooper N R 2018 Phys. Rev. Lett. 121 090401 |
[26] | McGinley M and Cooper N R 2019 Phys. Rev. B 99 075148 |
[27] | Gong Z and Ueda M 2018 Phys. Rev. Lett. 121 250601 |
[28] | Huang Z and Arovas D P 2012 arXiv:1205.6266 [cond-mat.str-el] |
[29] | Chung M C and Peschel I 2001 Phys. Rev. B 64 064412 |
[30] | Peschel I 2003 J. Phys. A 36 L205 |
[31] | Mo L H, Zhang Q L, and Wan X 2020 Chin. Phys. Lett. 37 060301 |
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