Universal topological quench dynamics for Z(2) topological phases

Zhang，Lin1,2; Jia，Wei1,2; Liu，Xiong Jun1,2,3,4

2022-06-30

10.1016/j.scib.2022.04.019

Science Bulletin   影响因子和分区

2095-9273

2095-9281

The free-fermion topological phases with Z2 invariants cover a broad range of topological states, including the time-reversal invariant topological insulators, and are defined on the equilibrium ground states. Whether such equilibrium topological phases have universal correspondence to far-from-equilibrium quantum dynamics is a fundamental issue of both theoretical and experimental importance. Here we uncover the universal topological quench dynamics linking to these equilibrium topological phases of different dimensionality and symmetry classes in the tenfold way, with a general framework being established. We show a novel result that a generic d-dimensional topological phase represented by Dirac type Hamiltonian and with Z2 invariant defined on high symmetry momenta can be characterized by topology reduced to certain arbitrary discrete momenta of Brillouin zone called the highest-order bandinversion surfaces. Such dimension-reduced topology has unique correspondence to the topological pattern emerging in far-from-equilibrium quantum dynamics by quenching the system from trivial phase to the topological regime, rendering the dynamical hallmark of the equilibrium topological phase. This work completes the dynamical characterization for the full tenfold classes of topological phases, which can be partially extended to even broader topological phases protected by lattice symmetries and in non-Dirac type systems, and shall advance widely the research in theory and experiment. (c) 2022 Science China Press. Published by Elsevier B.V. and Science China Press. All rights reserved.

Z (2) topological quantum phase Band -inversion surface Quench dynamics Topological characterization Quantum simulation

SCI ; EI

英语

通讯

National Key Research and Development Program of China[2021YFA1400900] ; National Natural Science Foundation of China["11825401","11921005"] ; Open Project of Shenzhen Institute of Quantum Science and Engineering[SIQSE202003] ; Strategic Priority Research Program of Chinese Academy of Sciences[XDB28000000]

Science & Technology - Other Topics

Multidisciplinary Sciences

WOS:000827994700013

ELSEVIER

20222112143047

Dynamics ; Ground state ; Lattice theory ; Quantum theory ; Topology

Physical Chemistry:801.4 ; Combinatorial Mathematics, Includes Graph Theory, Set Theory:921.4 ; Mathematical Statistics:922.2 ; Quantum Theory; Quantum Mechanics:931.4

2-s2.0-85130389227

Web of Science

1.International Center for Quantum Materials and School of Physics,Peking University,Beijing,100871,China
2.Collaborative Innovation Center of Quantum Matter,Beijing,100871,China
3.CAS Center for Excellence in Topological Quantum Computation,University of Chinese Academy of Sciences,Beijing,100190,China
4.Institute for Quantum Science and Engineering and Department of Physics,Southern University of Science and Technology,Shenzhen,518055,China

Zhang，Lin,Jia，Wei,Liu，Xiong Jun. Universal topological quench dynamics for Z(2) topological phases[J]. Science Bulletin,2022,67:1236-1242.

Zhang，Lin,Jia，Wei,&Liu，Xiong Jun.(2022).Universal topological quench dynamics for Z(2) topological phases.Science Bulletin,67,1236-1242.

Zhang，Lin,et al."Universal topological quench dynamics for Z(2) topological phases".Science Bulletin 67(2022):1236-1242.