Topologically Protected Long Edge Coherence Times in Symmetry-Broken Phases
Abstract
We argue that symmetry-broken phases proximate in phase space to symmetry-protected topological phases can exhibit dynamical signatures of topological physics. This dynamical, symmetry-protected “topological” regime is characterized by anomalously long edge coherence times due to the topological decoration of quasiparticle excitations, even if the underlying zero-temperature ground state is in a nontopological, symmetry-broken state. The dramatic enhancement of coherence can even persist at infinite temperature due to prethermalization. Lastly, we find exponentially long edge coherence times that are stable to symmetry-preserving perturbations and not the result of integrability.
- Authors:
-
- Univ. of California, Berkeley, CA (United States)
- Univ. of Massachusetts, Amherst, MA (United States)
- Publication Date:
- Research Org.:
- Univ. of Massachusetts, Amherst, MA (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC), Basic Energy Sciences (BES) (SC-22). Materials Sciences & Engineering Division; National Science Foundation (NSF)
- OSTI Identifier:
- 1593354
- Grant/Contract Number:
- SC0019168; DGE 1752814; PHY- 1748958
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Physical Review Letters
- Additional Journal Information:
- Journal Volume: 122; Journal Issue: 24; Journal ID: ISSN 0031-9007
- Publisher:
- American Physical Society (APS)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY
Citation Formats
Parker, Daniel E., Vasseur, Romain, and Scaffidi, Thomas. Topologically Protected Long Edge Coherence Times in Symmetry-Broken Phases. United States: N. p., 2019.
Web. doi:10.1103/PhysRevLett.122.240605.
Parker, Daniel E., Vasseur, Romain, & Scaffidi, Thomas. Topologically Protected Long Edge Coherence Times in Symmetry-Broken Phases. United States. doi:https://doi.org/10.1103/PhysRevLett.122.240605
Parker, Daniel E., Vasseur, Romain, and Scaffidi, Thomas. Fri .
"Topologically Protected Long Edge Coherence Times in Symmetry-Broken Phases". United States. doi:https://doi.org/10.1103/PhysRevLett.122.240605. https://www.osti.gov/servlets/purl/1593354.
@article{osti_1593354,
title = {Topologically Protected Long Edge Coherence Times in Symmetry-Broken Phases},
author = {Parker, Daniel E. and Vasseur, Romain and Scaffidi, Thomas},
abstractNote = {We argue that symmetry-broken phases proximate in phase space to symmetry-protected topological phases can exhibit dynamical signatures of topological physics. This dynamical, symmetry-protected “topological” regime is characterized by anomalously long edge coherence times due to the topological decoration of quasiparticle excitations, even if the underlying zero-temperature ground state is in a nontopological, symmetry-broken state. The dramatic enhancement of coherence can even persist at infinite temperature due to prethermalization. Lastly, we find exponentially long edge coherence times that are stable to symmetry-preserving perturbations and not the result of integrability.},
doi = {10.1103/PhysRevLett.122.240605},
journal = {Physical Review Letters},
number = 24,
volume = 122,
place = {United States},
year = {2019},
month = {6}
}
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Works referenced in this record:
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Complete classification of one-dimensional gapped quantum phases in interacting spin systems
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Topology and Edge Modes in Quantum Critical Chains
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Topological phases of fermions in one dimension
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Tensor-entanglement-filtering renormalization approach and symmetry-protected topological order
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Symmetry-protected topological phases from decorated domain walls
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Neutron scattering in the proximate quantum spin liquid α-RuCl 3
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Nonequilibrium quantum dynamics and transport: from integrability to many-body localization
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Prethermal Strong Zero Modes and Topological Qubits
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Topological Luttinger liquids from decorated domain walls
journal, April 2018
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- Physical Review B, Vol. 97, Issue 16
A Field Guide to Spin Liquids
journal, March 2019
- Knolle, J.; Moessner, R.
- Annual Review of Condensed Matter Physics, Vol. 10, Issue 1
Long coherence times for edge spins
journal, June 2017
- Kemp, Jack; Yao, Norman Y.; Laumann, Christopher R.
- Journal of Statistical Mechanics: Theory and Experiment, Vol. 2017, Issue 6
Stability of zero modes in parafermion chains
journal, October 2014
- Jermyn, Adam S.; Mong, Roger S. K.; Alicea, Jason
- Physical Review B, Vol. 90, Issue 16
Many-Body Localization and Thermalization in Quantum Statistical Mechanics
journal, March 2015
- Nandkishore, Rahul; Huse, David A.
- Annual Review of Condensed Matter Physics, Vol. 6, Issue 1
Braiding statistics approach to symmetry-protected topological phases
journal, September 2012
- Levin, Michael; Gu, Zheng-Cheng
- Physical Review B, Vol. 86, Issue 11
Interacting Electrons in Disordered Wires: Anderson Localization and Low- Transport
journal, November 2005
- Gornyi, I. V.; Mirlin, A. D.; Polyakov, D. G.
- Physical Review Letters, Vol. 95, Issue 20
Symmetry protection of topological phases in one-dimensional quantum spin systems
journal, February 2012
- Pollmann, Frank; Berg, Erez; Turner, Ari M.
- Physical Review B, Vol. 85, Issue 7
Works referencing / citing this record:
Long-Range Prethermal Phases of Nonequilibrium Matter
journal, February 2020
- Machado, Francisco; Else, Dominic V.; Kahanamoku-Meyer, Gregory D.
- Physical Review X, Vol. 10, Issue 1
Topological phases of fermions in one dimension
journal, February 2011
- Fidkowski, Lukasz; Kitaev, Alexei
- Physical Review B, Vol. 83, Issue 7
Nonequilibrium quantum dynamics and transport: from integrability to many-body localization
journal, June 2016
- Vasseur, Romain; Moore, Joel E.
- Journal of Statistical Mechanics: Theory and Experiment, Vol. 2016, Issue 6
Topological phases of one-dimensional fermions: An entanglement point of view
journal, February 2011
- Turner, Ari M.; Pollmann, Frank; Berg, Erez
- Physical Review B, Vol. 83, Issue 7
Topology and Edge Modes in Quantum Critical Chains
journal, January 2018
- Verresen, Ruben; Jones, Nick G.; Pollmann, Frank
- Physical Review Letters, Vol. 120, Issue 5
Strong zero modes and eigenstate phase transitions in the XYZ/interacting Majorana chain
journal, June 2016
- Fendley, Paul
- Journal of Physics A: Mathematical and Theoretical, Vol. 49, Issue 30
Localization and topology protected quantum coherence at the edge of hot matter
journal, July 2015
- Bahri, Yasaman; Vosk, Ronen; Altman, Ehud
- Nature Communications, Vol. 6, Issue 1
Low Temperature Relaxational Dynamics of the Ising Chain in a Transverse Field
journal, March 1997
- Sachdev, Subir; Young, A. P.
- Physical Review Letters, Vol. 78, Issue 11
Prethermal Strong Zero Modes and Topological Qubits
journal, December 2017
- Else, Dominic V.; Fendley, Paul; Kemp, Jack
- Physical Review X, Vol. 7, Issue 4
Many-body localization phase transition
journal, November 2010
- Pal, Arijeet; Huse, David A.
- Physical Review B, Vol. 82, Issue 17
Quantum spin liquid states
journal, April 2017
- Zhou, Yi; Kanoda, Kazushi; Ng, Tai-Kai
- Reviews of Modern Physics, Vol. 89, Issue 2
Neutron scattering in the proximate quantum spin liquid α-RuCl 3
journal, June 2017
- Banerjee, Arnab; Yan, Jiaqiang; Knolle, Johannes
- Science, Vol. 356, Issue 6342
One-dimensional symmetry protected topological phases and their transitions
journal, October 2017
- Verresen, Ruben; Moessner, Roderich; Pollmann, Frank
- Physical Review B, Vol. 96, Issue 16
O(3) Nonlinear Model and the Topological Distinction between Integer- and Half-Integer-Spin Antiferromagnets in Two Dimensions
journal, August 1988
- Haldane, F. D. M.
- Physical Review Letters, Vol. 61, Issue 8
Area laws in a many-body localized state and its implications for topological order
journal, September 2013
- Bauer, Bela; Nayak, Chetan
- Journal of Statistical Mechanics: Theory and Experiment, Vol. 2013, Issue 09
Many-body localization and symmetry-protected topological order
journal, April 2014
- Chandran, Anushya; Khemani, Vedika; Laumann, C. R.
- Physical Review B, Vol. 89, Issue 14
Symmetry-protected topological phases from decorated domain walls
journal, March 2014
- Chen, Xie; Lu, Yuan-Ming; Vishwanath, Ashvin
- Nature Communications, Vol. 5, Issue 1
Symmetry-Protected Topological Phases of Quantum Matter
journal, March 2015
- Senthil, T.
- Annual Review of Condensed Matter Physics, Vol. 6, Issue 1
Parafermionic edge zero modes in Z n -invariant spin chains
journal, November 2012
- Fendley, Paul
- Journal of Statistical Mechanics: Theory and Experiment, Vol. 2012, Issue 11
Universal Dynamics and Renormalization in Many-Body-Localized Systems
journal, March 2015
- Altman, Ehud; Vosk, Ronen
- Annual Review of Condensed Matter Physics, Vol. 6, Issue 1
Proximate Kitaev quantum spin liquid behaviour in a honeycomb magnet
journal, April 2016
- Banerjee, A.; Bridges, C. A.; Yan, J. -Q.
- Nature Materials, Vol. 15, Issue 7
Tensor-entanglement-filtering renormalization approach and symmetry-protected topological order
journal, October 2009
- Gu, Zheng-Cheng; Wen, Xiao-Gang
- Physical Review B, Vol. 80, Issue 15
Symmetry protected topological orders and the group cohomology of their symmetry group
journal, April 2013
- Chen, Xie; Gu, Zheng-Cheng; Liu, Zheng-Xin
- Physical Review B, Vol. 87, Issue 15
Complete classification of one-dimensional gapped quantum phases in interacting spin systems
journal, December 2011
- Chen, Xie; Gu, Zheng-Cheng; Wen, Xiao-Gang
- Physical Review B, Vol. 84, Issue 23
Theory and classification of interacting integer topological phases in two dimensions: A Chern-Simons approach
journal, September 2012
- Lu, Yuan-Ming; Vishwanath, Ashvin
- Physical Review B, Vol. 86, Issue 12
Stability of zero modes in parafermion chains
journal, October 2014
- Jermyn, Adam S.; Mong, Roger S. K.; Alicea, Jason
- Physical Review B, Vol. 90, Issue 16
Symmetry protection of topological phases in one-dimensional quantum spin systems
journal, February 2012
- Pollmann, Frank; Berg, Erez; Turner, Ari M.
- Physical Review B, Vol. 85, Issue 7
Long coherence times for edge spins
journal, June 2017
- Kemp, Jack; Yao, Norman Y.; Laumann, Christopher R.
- Journal of Statistical Mechanics: Theory and Experiment, Vol. 2017, Issue 6
Braiding statistics approach to symmetry-protected topological phases
journal, September 2012
- Levin, Michael; Gu, Zheng-Cheng
- Physical Review B, Vol. 86, Issue 11
Many-body localization in disorder-free systems: The importance of finite-size constraints
journal, November 2015
- Papić, Z.; Stoudenmire, E. Miles; Abanin, Dmitry A.
- Annals of Physics, Vol. 362
Colloquium : Many-body localization, thermalization, and entanglement
journal, May 2019
- Abanin, Dmitry A.; Altman, Ehud; Bloch, Immanuel
- Reviews of Modern Physics, Vol. 91, Issue 2
A Field Guide to Spin Liquids
journal, March 2019
- Knolle, J.; Moessner, R.
- Annual Review of Condensed Matter Physics, Vol. 10, Issue 1
A Rigorous Theory of Many-Body Prethermalization for Periodically Driven and Closed Quantum Systems
journal, June 2017
- Abanin, Dmitry; De Roeck, Wojciech; Ho, Wen Wei
- Communications in Mathematical Physics, Vol. 354, Issue 3
Quantum spin liquids: a review
journal, November 2016
- Savary, Lucile; Balents, Leon
- Reports on Progress in Physics, Vol. 80, Issue 1
Symmetry-Protected Topological Orders in Interacting Bosonic Systems
journal, December 2012
- Chen, X.; Gu, Z. -C.; Liu, Z. -X.
- Science, Vol. 338, Issue 6114
Interacting Electrons in Disordered Wires: Anderson Localization and Low- Transport
journal, November 2005
- Gornyi, I. V.; Mirlin, A. D.; Polyakov, D. G.
- Physical Review Letters, Vol. 95, Issue 20
Localization-protected quantum order
journal, July 2013
- Huse, David A.; Nandkishore, Rahul; Oganesyan, Vadim
- Physical Review B, Vol. 88, Issue 1
Gapless Symmetry-Protected Topological Order
journal, November 2017
- Scaffidi, Thomas; Parker, Daniel E.; Vasseur, Romain
- Physical Review X, Vol. 7, Issue 4
Many-Body Localization and Thermalization in Quantum Statistical Mechanics
journal, March 2015
- Nandkishore, Rahul; Huse, David A.
- Annual Review of Condensed Matter Physics, Vol. 6, Issue 1
Localization of interacting fermions at high temperature
journal, April 2007
- Oganesyan, Vadim; Huse, David A.
- Physical Review B, Vol. 75, Issue 15
Metal–insulator transition in a weakly interacting many-electron system with localized single-particle states
journal, May 2006
- Basko, D. M.; Aleiner, I. L.; Altshuler, B. L.
- Annals of Physics, Vol. 321, Issue 5
Topological Luttinger liquids from decorated domain walls
journal, April 2018
- Parker, Daniel E.; Scaffidi, Thomas; Vasseur, Romain
- Physical Review B, Vol. 97, Issue 16
Two-dimensional symmetry-protected topological orders and their protected gapless edge excitations
journal, December 2011
- Chen, Xie; Liu, Zheng-Xin; Wen, Xiao-Gang
- Physical Review B, Vol. 84, Issue 23