Mirror-symmetry-protected dynamical quantum phase transitions in topological crystalline insulators
| Autor: | Hiroki Oshiyama, Masayuki Ohzeki, Ryo Okugawa |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2021 |
| Předmět: |
Quantum phase transition
Physics Quantum Physics Statistical Mechanics (cond-mat.stat-mech) Condensed Matter - Mesoscale and Nanoscale Physics Lattice (group) FOS: Physical sciences Topology Quantum Gases (cond-mat.quant-gas) Topological insulator Mesoscale and Nanoscale Physics (cond-mat.mes-hall) Topological order Invariant (mathematics) Mirror symmetry Quantum Physics (quant-ph) Condensed Matter - Quantum Gases Rate function Quantum Condensed Matter - Statistical Mechanics |
| Popis: | 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. 10 pages, 3 figures; Discussions and references added, and typos corrected |
| Databáze: | OpenAIRE |
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