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Uncover Topology by Quantum Quench Dynamics

Topological quantum states are characterized by nonlocal invariants, and their detection is intrinsically challenging. Various strategies have been developed to study topological Hamiltonians through their equilibrium states. We present a fundamentally new, high-precision dynamical approach, reveali... Full description

Journal Title: arXiv.org Aug 26, 2018
Main Author: Sun, Wei
Other Authors: Chang-Rui, Yi , Bao-Zong, Wang , Wei-Wei, Zhang , Sanders, Barry , Xiao-Tian, Xu , Zong-Yao, Wang , Schmiedmayer, Jörg , Deng, Youjin , Xiong-Jun, Liu , Chen, Shuai , Jian-Wei, Pan
Format: Electronic Article Electronic Article
Language: English
Subjects:
ID: DOI: 10.1103/PhysRevLett.121.250403
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recordid: proquest2072074494
title: Uncover Topology by Quantum Quench Dynamics
format: Article
creator:
  • Sun, Wei
  • Chang-Rui, Yi
  • Bao-Zong, Wang
  • Wei-Wei, Zhang
  • Sanders, Barry
  • Xiao-Tian, Xu
  • Zong-Yao, Wang
  • Schmiedmayer, Jörg
  • Deng, Youjin
  • Xiong-Jun, Liu
  • Chen, Shuai
  • Jian-Wei, Pan
subjects:
  • Ring Structures
  • Phase Diagrams
  • Evolution
  • Domain Walls
  • Spin Dynamics
  • Rings (Mathematics)
  • Topology
  • Quantum Gases
  • Atomic Physics
ispartof: arXiv.org, Aug 26, 2018
description: Topological quantum states are characterized by nonlocal invariants, and their detection is intrinsically challenging. Various strategies have been developed to study topological Hamiltonians through their equilibrium states. We present a fundamentally new, high-precision dynamical approach, revealing topology through the unitary evolution after a quench from a topological trivial initial state with a two-dimensional Chern band realized in an ultracold \(^{87}\)Rb atom gas. The emerging ring structure in the spin dynamics uniquely determines the Chern number for the post-quench band and enables probing the full phase diagram of the band topology with high precision. Besides, we also measure the topological band gap and the domain wall structure dynamically formed in the momentum space during the long-term evolution. Our dynamical approach provides a way towards observing a universal bulk-ring correspondence, and has broad applications in exploring topological quantum matter.
language: eng
source:
identifier: DOI: 10.1103/PhysRevLett.121.250403
fulltext: fulltext_linktorsrc
url: Link


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creatorSun, Wei ; Chang-Rui, Yi ; Bao-Zong, Wang ; Wei-Wei, Zhang ; Sanders, Barry ; Xiao-Tian, Xu ; Zong-Yao, Wang ; Schmiedmayer, Jörg ; Deng, Youjin ; Xiong-Jun, Liu ; Chen, Shuai ; Jian-Wei, Pan
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ispartofarXiv.org, Aug 26, 2018
identifierDOI: 10.1103/PhysRevLett.121.250403
subjectRing Structures ; Phase Diagrams ; Evolution ; Domain Walls ; Spin Dynamics ; Rings (Mathematics) ; Topology ; Quantum Gases ; Atomic Physics
descriptionTopological quantum states are characterized by nonlocal invariants, and their detection is intrinsically challenging. Various strategies have been developed to study topological Hamiltonians through their equilibrium states. We present a fundamentally new, high-precision dynamical approach, revealing topology through the unitary evolution after a quench from a topological trivial initial state with a two-dimensional Chern band realized in an ultracold \(^{87}\)Rb atom gas. The emerging ring structure in the spin dynamics uniquely determines the Chern number for the post-quench band and enables probing the full phase diagram of the band topology with high precision. Besides, we also measure the topological band gap and the domain wall structure dynamically formed in the momentum space during the long-term evolution. Our dynamical approach provides a way towards observing a universal bulk-ring correspondence, and has broad applications in exploring topological quantum matter.
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titleUncover Topology by Quantum Quench Dynamics
descriptionTopological quantum states are characterized by nonlocal invariants, and their detection is intrinsically challenging. Various strategies have been developed to study topological Hamiltonians through their equilibrium states. We present a fundamentally new, high-precision dynamical approach, revealing topology through the unitary evolution after a quench from a topological trivial initial state with a two-dimensional Chern band realized in an ultracold \(^{87}\)Rb atom gas. The emerging ring structure in the spin dynamics uniquely determines the Chern number for the post-quench band and enables probing the full phase diagram of the band topology with high precision. Besides, we also measure the topological band gap and the domain wall structure dynamically formed in the momentum space during the long-term evolution. Our dynamical approach provides a way towards observing a universal bulk-ring correspondence, and has broad applications in exploring topological quantum matter.
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abstractTopological quantum states are characterized by nonlocal invariants, and their detection is intrinsically challenging. Various strategies have been developed to study topological Hamiltonians through their equilibrium states. We present a fundamentally new, high-precision dynamical approach, revealing topology through the unitary evolution after a quench from a topological trivial initial state with a two-dimensional Chern band realized in an ultracold \(^{87}\)Rb atom gas. The emerging ring structure in the spin dynamics uniquely determines the Chern number for the post-quench band and enables probing the full phase diagram of the band topology with high precision. Besides, we also measure the topological band gap and the domain wall structure dynamically formed in the momentum space during the long-term evolution. Our dynamical approach provides a way towards observing a universal bulk-ring correspondence, and has broad applications in exploring topological quantum matter.
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