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Title: 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:
 [1];  [2];  [1]
  1. Univ. of California, Berkeley, CA (United States)
  2. 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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Cited by: 2 works
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Works referenced in this record:

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journal, November 2012


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journal, September 2012


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journal, December 2011


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Two-dimensional symmetry-protected topological orders and their protected gapless edge excitations
journal, December 2011


Strong zero modes and eigenstate phase transitions in the XYZ/interacting Majorana chain
journal, June 2016


Metal–insulator transition in a weakly interacting many-electron system with localized single-particle states
journal, May 2006


A Rigorous Theory of Many-Body Prethermalization for Periodically Driven and Closed Quantum Systems
journal, June 2017

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Nonequilibrium quantum dynamics and transport: from integrability to many-body localization
journal, June 2016


Prethermal Strong Zero Modes and Topological Qubits
journal, December 2017


Topological Luttinger liquids from decorated domain walls
journal, April 2018


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journal, March 2019


Long coherence times for edge spins
journal, June 2017

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Stability of zero modes in parafermion chains
journal, October 2014


Many-Body Localization and Thermalization in Quantum Statistical Mechanics
journal, March 2015


Braiding statistics approach to symmetry-protected topological phases
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Interacting Electrons in Disordered Wires: Anderson Localization and Low- T Transport
journal, November 2005


Symmetry protection of topological phases in one-dimensional quantum spin systems
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    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
    • DOI: 10.1103/physrevx.10.011043

    Topological phases of fermions in one dimension
    journal, February 2011


    Nonequilibrium quantum dynamics and transport: from integrability to many-body localization
    journal, June 2016


    Topological phases of one-dimensional fermions: An entanglement point of view
    journal, February 2011


    Topology and Edge Modes in Quantum Critical Chains
    journal, January 2018


    Strong zero modes and eigenstate phase transitions in the XYZ/interacting Majorana chain
    journal, June 2016


    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
    • DOI: 10.1038/ncomms8341

    Low Temperature Relaxational Dynamics of the Ising Chain in a Transverse Field
    journal, March 1997


    Prethermal Strong Zero Modes and Topological Qubits
    journal, December 2017


    Many-body localization phase transition
    journal, November 2010


    Quantum spin liquid states
    journal, April 2017


    Neutron scattering in the proximate quantum spin liquid α-RuCl 3
    journal, June 2017


    One-dimensional symmetry protected topological phases and their transitions
    journal, October 2017


    Area laws in a many-body localized state and its implications for topological order
    journal, September 2013


    Many-body localization and symmetry-protected topological order
    journal, April 2014


    Symmetry-protected topological phases from decorated domain walls
    journal, March 2014

    • Chen, Xie; Lu, Yuan-Ming; Vishwanath, Ashvin
    • Nature Communications, Vol. 5, Issue 1
    • DOI: 10.1038/ncomms4507

    Symmetry-Protected Topological Phases of Quantum Matter
    journal, March 2015


    Parafermionic edge zero modes in Z n -invariant spin chains
    journal, November 2012


    Universal Dynamics and Renormalization in Many-Body-Localized Systems
    journal, March 2015


    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
    • DOI: 10.1038/nmat4604

    Tensor-entanglement-filtering renormalization approach and symmetry-protected topological order
    journal, October 2009


    Symmetry protected topological orders and the group cohomology of their symmetry group
    journal, April 2013


    Complete classification of one-dimensional gapped quantum phases in interacting spin systems
    journal, December 2011


    Theory and classification of interacting integer topological phases in two dimensions: A Chern-Simons approach
    journal, September 2012


    Quantum Phase Transitions
    book, January 2011


    Stability of zero modes in parafermion chains
    journal, October 2014


    Symmetry protection of topological phases in one-dimensional quantum spin systems
    journal, February 2012


    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
    • DOI: 10.1088/1742-5468/aa73f0

    Braiding statistics approach to symmetry-protected topological phases
    journal, September 2012


    Many-body localization in disorder-free systems: The importance of finite-size constraints
    journal, November 2015


    Colloquium : Many-body localization, thermalization, and entanglement
    journal, May 2019


    A Field Guide to Spin Liquids
    journal, March 2019


    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
    • DOI: 10.1007/s00220-017-2930-x

    Quantum spin liquids: a review
    journal, November 2016


    Symmetry-Protected Topological Orders in Interacting Bosonic Systems
    journal, December 2012


    Interacting Electrons in Disordered Wires: Anderson Localization and Low- T Transport
    journal, November 2005


    Localization-protected quantum order
    journal, July 2013


    Gapless Symmetry-Protected Topological Order
    journal, November 2017


    Many-Body Localization and Thermalization in Quantum Statistical Mechanics
    journal, March 2015


    Localization of interacting fermions at high temperature
    journal, April 2007


    Metal–insulator transition in a weakly interacting many-electron system with localized single-particle states
    journal, May 2006


    Topological Luttinger liquids from decorated domain walls
    journal, April 2018


    Two-dimensional symmetry-protected topological orders and their protected gapless edge excitations
    journal, December 2011