Mirror-symmetry-protected dynamical quantum phase transitions in
topological crystalline insulators
- URL: http://arxiv.org/abs/2105.12768v3
- Date: Sat, 23 Oct 2021 08:59:57 GMT
- Title: Mirror-symmetry-protected dynamical quantum phase transitions in
topological crystalline insulators
- Authors: Ryo Okugawa, Hiroki Oshiyama, Masayuki Ohzeki
- Abstract summary: We show that mirror symmetry creates symmetry-protected DQPTs in quantum quenches.
We also show that symmetry-protected DQPTs occur in quenches in two-dimensional chiral-symmetric systems with mirror symmetry.
We demonstrate DQPTs using lattice models for a time-reversal invariant topological crystalline insulator and a higher-order topological insulator.
- Score: 0.966840768820136
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: Dynamical quantum phase transitions (DQPTs) are topologically characterized
in quantum quench dynamics in topological systems. In this paper, we study
Loschmidt amplitudes and DQPTs in quantum quenches in mirror-symmetric
topological phases. Based on the topological classification of mirror-symmetric
insulators, we show that mirror symmetry creates symmetry-protected DQPTs. If
mirror symmetry is present, topologically robust DQPTs can occur in quantum
quenches, even in high-dimensional time-reversal invariant systems. Then, we
also show that symmetry-protected DQPTs occur in quenches in two-dimensional
chiral-symmetric systems with mirror symmetry. Mirror-symmetry-protected DQPTs
can be easily captured by a reduced rate function. Moreover, we introduce
dynamical topological order parameters for mirror-symmetry-protected DQPTs.
Finally, we demonstrate DQPTs using lattice models for a time-reversal
invariant topological crystalline insulator and a higher-order topological
insulator.
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