Entanglement properties of the time-periodic Kitaev chain

Yates, Daniel J.; Mitra, Aditi

doi:10.1103/physrevb.96.115108

Title: Entanglement properties of the time-periodic Kitaev chain

Journal Article · Fri Sep 01 00:00:00 EDT 2017 · Physical Review B

DOI:https://doi.org/10.1103/physrevb.96.115108· OSTI ID:1536001

Yates, Daniel J.; Mitra, Aditi

Not provided.

Cite

Export

Save

Research Organization:: New York Univ. (NYU), NY (United States)

Sponsoring Organization:: USDOE Office of Science (SC)

DOE Contract Number:: SC0010821

OSTI ID:: 1536001

Journal Information:: Physical Review B, Vol. 96, Issue 11; ISSN 2469-9950

Publisher:: American Physical Society (APS)

Country of Publication:: United States

Language:: English

References (47)

Colloquium: Topological insulators Hasan, M. Z.; Kane, C. L. Reviews of Modern Physics, Vol. 82, Issue 4, p. 3045-3067 https://doi.org/10.1103/RevModPhys.82.3045	journal	November 2010
Topological insulators and superconductors Qi, Xiao-Liang; Zhang, Shou-Cheng Reviews of Modern Physics, Vol. 83, Issue 4 https://doi.org/10.1103/RevModPhys.83.1057	journal	October 2011
Topological Materials: Weyl Semimetals Yan, Binghai; Felser, Claudia Annual Review of Condensed Matter Physics, Vol. 8, Issue 1 https://doi.org/10.1146/annurev-conmatphys-031016-025458	journal	March 2017
New Method for High-Accuracy Determination of the Fine-Structure Constant Based on Quantized Hall Resistance Klitzing, K. v.; Dorda, G.; Pepper, M. Physical Review Letters, Vol. 45, Issue 6 https://doi.org/10.1103/PhysRevLett.45.494	journal	August 1980
Two-Dimensional Magnetotransport in the Extreme Quantum Limit Tsui, D. C.; Stormer, H. L.; Gossard, A. C. Physical Review Letters, Vol. 48, Issue 22 https://doi.org/10.1103/PhysRevLett.48.1559	journal	May 1982
Discovery of Weyl Fermion Semimetals and Topological Fermi Arc States Hasan, M. Zahid; Xu, Su-Yang; Belopolski, Ilya Annual Review of Condensed Matter Physics, Vol. 8, Issue 1 https://doi.org/10.1146/annurev-conmatphys-031016-025225	journal	March 2017
Anyons in an exactly solved model and beyond Kitaev, Alexei Annals of Physics, Vol. 321, Issue 1 https://doi.org/10.1016/j.aop.2005.10.005	journal	January 2006
Photovoltaic Hall effect in graphene Oka, Takashi; Aoki, Hideo Physical Review B, Vol. 79, Issue 8 https://doi.org/10.1103/PhysRevB.79.081406	journal	February 2009
Topological characterization of periodically driven quantum systems Kitagawa, Takuya; Berg, Erez; Rudner, Mark Physical Review B, Vol. 82, Issue 23 https://doi.org/10.1103/PhysRevB.82.235114	journal	December 2010
Transport properties of nonequilibrium systems under the application of light: Photoinduced quantum Hall insulators without Landau levels Kitagawa, Takuya; Oka, Takashi; Brataas, Arne Physical Review B, Vol. 84, Issue 23 https://doi.org/10.1103/PhysRevB.84.235108	journal	December 2011
Floquet topological insulator in semiconductor quantum wells Lindner, Netanel H.; Refael, Gil; Galitski, Victor Nature Physics, Vol. 7, Issue 6 https://doi.org/10.1038/nphys1926	journal	March 2011
Phase structure of one-dimensional interacting Floquet systems. I. Abelian symmetry-protected topological phases von Keyserlingk, C. W.; Sondhi, S. L. Physical Review B, Vol. 93, Issue 24 https://doi.org/10.1103/PhysRevB.93.245145	journal	June 2016
Phase structure of one-dimensional interacting Floquet systems. II. Symmetry-broken phases von Keyserlingk, C. W.; Sondhi, S. L. Physical Review B, Vol. 93, Issue 24 https://doi.org/10.1103/PhysRevB.93.245146	journal	June 2016
Classification of topological phases in periodically driven interacting systems Else, Dominic V.; Nayak, Chetan Physical Review B, Vol. 93, Issue 20 https://doi.org/10.1103/PhysRevB.93.201103	journal	May 2016
Classification of Interacting Topological Floquet Phases in One Dimension Potter, Andrew C.; Morimoto, Takahiro; Vishwanath, Ashvin Physical Review X, Vol. 6, Issue 4 https://doi.org/10.1103/PhysRevX.6.041001	journal	October 2016
Chiral Floquet Phases of Many-Body Localized Bosons Po, Hoi Chun; Fidkowski, Lukasz; Morimoto, Takahiro Physical Review X, Vol. 6, Issue 4 https://doi.org/10.1103/PhysRevX.6.041070	journal	December 2016
Abelian Floquet symmetry-protected topological phases in one dimension Roy, Rahul; Harper, Fenner Physical Review B, Vol. 94, Issue 12 https://doi.org/10.1103/PhysRevB.94.125105	journal	September 2016
Floquet Topological Order in Interacting Systems of Bosons and Fermions Harper, Fenner; Roy, Rahul Physical Review Letters, Vol. 118, Issue 11 https://doi.org/10.1103/PhysRevLett.118.115301	journal	March 2017
Floquet topological phases with symmetry in all dimensions Roy, Rahul; Harper, Fenner Physical Review B, Vol. 95, Issue 19 https://doi.org/10.1103/PhysRevB.95.195128	journal	May 2017
Transport Signatures of Floquet Majorana Fermions in Driven Topological Superconductors Kundu, Arijit; Seradjeh, Babak Physical Review Letters, Vol. 111, Issue 13 https://doi.org/10.1103/PhysRevLett.111.136402	journal	September 2013
Dissipative Floquet topological systems Dehghani, Hossein; Oka, Takashi; Mitra, Aditi Physical Review B, Vol. 90, Issue 19 https://doi.org/10.1103/PhysRevB.90.195429	journal	November 2014
Out-of-equilibrium electrons and the Hall conductance of a Floquet topological insulator Dehghani, Hossein; Oka, Takashi; Mitra, Aditi Physical Review B, Vol. 91, Issue 15 https://doi.org/10.1103/PhysRevB.91.155422	journal	April 2015
Occupation probabilities and current densities of bulk and edge states of a Floquet topological insulator Dehghani, Hossein; Mitra, Aditi Physical Review B, Vol. 93, Issue 20 https://doi.org/10.1103/PhysRevB.93.205437	journal	May 2016
Statistical mechanics of Floquet systems: The pervasive problem of near degeneracies Hone, Daniel W.; Ketzmerick, Roland; Kohn, Walter Physical Review E, Vol. 79, Issue 5 https://doi.org/10.1103/PhysRevE.79.051129	journal	May 2009
Optical Hall conductivity of a Floquet topological insulator Dehghani, Hossein; Mitra, Aditi Physical Review B, Vol. 92, Issue 16 https://doi.org/10.1103/PhysRevB.92.165111	journal	October 2015
Controlled Population of Floquet-Bloch States via Coupling to Bose and Fermi Baths Seetharam, Karthik I.; Bardyn, Charles-Edouard; Lindner, Netanel H. Physical Review X, Vol. 5, Issue 4 https://doi.org/10.1103/PhysRevX.5.041050	journal	December 2015
Floquet topological systems in the vicinity of band crossings: Reservoir-induced coherence and steady-state entropy production Dehghani, Hossein; Mitra, Aditi Physical Review B, Vol. 93, Issue 24 https://doi.org/10.1103/PhysRevB.93.245416	journal	June 2016
Detecting Topological Order in a Ground State Wave Function Levin, Michael; Wen, Xiao-Gang Physical Review Letters, Vol. 96, Issue 11 https://doi.org/10.1103/PhysRevLett.96.110405	journal	March 2006
Topological Entanglement Entropy Kitaev, Alexei; Preskill, John Physical Review Letters, Vol. 96, Issue 11 https://doi.org/10.1103/PhysRevLett.96.110404	journal	March 2006
Topological Rényi Entropy after a Quantum Quench Halász, Gábor B.; Hamma, Alioscia Physical Review Letters, Vol. 110, Issue 17 https://doi.org/10.1103/PhysRevLett.110.170605	journal	April 2013
Entanglement Spectrum as a Generalization of Entanglement Entropy: Identification of Topological Order in Non-Abelian Fractional Quantum Hall Effect States Li, Hui; Haldane, F. D. M. Physical Review Letters, Vol. 101, Issue 1 https://doi.org/10.1103/PhysRevLett.101.010504	journal	July 2008
Entanglement Spectrum of Topological Insulators and Superconductors Fidkowski, Lukasz Physical Review Letters, Vol. 104, Issue 13 https://doi.org/10.1103/PhysRevLett.104.130502	journal	April 2010
Entanglement properties of Floquet-Chern insulators Yates, Daniel J.; Lemonik, Yonah; Mitra, Aditi Physical Review B, Vol. 94, Issue 20 https://doi.org/10.1103/PhysRevB.94.205422	journal	November 2016
Unpaired Majorana fermions in quantum wires Kitaev, A. Yu Physics-Uspekhi, Vol. 44, Issue 10S https://doi.org/10.1070/1063-7869/44/10S/S29	journal	October 2001
Nonstandard symmetry classes in mesoscopic normal-superconducting hybrid structures Altland, Alexander; Zirnbauer, Martin R. Physical Review B, Vol. 55, Issue 2 https://doi.org/10.1103/PhysRevB.55.1142	journal	January 1997
Topological insulators and superconductors: tenfold way and dimensional hierarchy Ryu, Shinsei; Schnyder, Andreas P.; Furusaki, Akira New Journal of Physics, Vol. 12, Issue 6 https://doi.org/10.1088/1367-2630/12/6/065010	journal	June 2010
Quantum annealing and nonequilibrium dynamics of Floquet Chern insulators Privitera, Lorenzo; Santoro, Giuseppe E. Physical Review B, Vol. 93, Issue 24 https://doi.org/10.1103/PhysRevB.93.241406	journal	June 2016
Majorana zero modes in a quantum Ising chain with longer-ranged interactions Niu, Yuezhen; Chung, Suk Bum; Hsu, Chen-Hsuan Physical Review B, Vol. 85, Issue 3 https://doi.org/10.1103/PhysRevB.85.035110	journal	January 2012
Floquet generation of Majorana end modes and topological invariants Thakurathi, Manisha; Patel, Aavishkar A.; Sen, Diptiman Physical Review B, Vol. 88, Issue 15 https://doi.org/10.1103/PhysRevB.88.155133	journal	October 2013
Steady States and Quasienergies of a Quantum-Mechanical System in an Oscillating Field Sambe, Hideo Physical Review A, Vol. 7, Issue 6 https://doi.org/10.1103/PhysRevA.7.2203	journal	June 1973
High-frequency approximation for periodically driven quantum systems from a Floquet-space perspective Eckardt, André; Anisimovas, Egidijus New Journal of Physics, Vol. 17, Issue 9 https://doi.org/10.1088/1367-2630/17/9/093039	journal	September 2015
Floquet engineering of long-range $p$ -wave superconductivity Benito, M.; Gómez-León, A.; Bastidas, V. M. Physical Review B, Vol. 90, Issue 20 https://doi.org/10.1103/PhysRevB.90.205127	journal	November 2014
Transport properties of Floquet topological superconductors at the transition from the topological phase to the Anderson localized phase Wang, Pei; Sun, Qing-feng; Xie, X. C. Physical Review B, Vol. 90, Issue 15 https://doi.org/10.1103/PhysRevB.90.155407	journal	October 2014
Reduced density matrices and entanglement entropy in free lattice models Peschel, Ingo; Eisler, Viktor Journal of Physics A: Mathematical and Theoretical, Vol. 42, Issue 50 https://doi.org/10.1088/1751-8113/42/50/504003	journal	December 2009
Dynamics of entanglement entropy and entanglement spectrum crossing a quantum phase transition Canovi, Elena; Ercolessi, Elisa; Naldesi, Piero Physical Review B, Vol. 89, Issue 10 https://doi.org/10.1103/PhysRevB.89.104303	journal	March 2014
Two soluble models of an antiferromagnetic chain Lieb, Elliott; Schultz, Theodore; Mattis, Daniel Annals of Physics, Vol. 16, Issue 3 https://doi.org/10.1016/0003-4916(61)90115-4	journal	December 1961
Dynamical preparation of Floquet Chern insulators D’Alessio, Luca; Rigol, Marcos Nature Communications, Vol. 6, Issue 1 https://doi.org/10.1038/ncomms9336	journal	October 2015

Similar Records

Entanglement properties of the time-periodic Kitaev chain

Journal Article · Wed Sep 06 00:00:00 EDT 2017 · Physical Review B · OSTI ID:1536001

Yates, Daniel J.; Mitra, Aditi

Central Charge of Periodically Driven Critical Kitaev Chains

Journal Article · Wed Aug 01 00:00:00 EDT 2018 · Physical Review Letters · OSTI ID:1536001

Yates, Daniel; Lemonik, Yonah; Mitra, Aditi

Central Charge of Periodically Driven Critical Kitaev Chains

Journal Article · Tue Aug 14 00:00:00 EDT 2018 · Physical Review Letters · OSTI ID:1536001

Yates, Daniel; Lemonik, Yonah; Mitra, Aditi

Related Subjects

Materials Science
Physics

Title: Entanglement properties of the time-periodic Kitaev chain

Citation Formats

References (47)

Similar Records

Related Subjects