Mirror-symmetry-protected dynamical quantum phase transitions in topological crystalline insulators

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.

arXiv comment10 pages, 3 figures; Discussions and references added, and typos corrected

References in corpus (80)

• Topological Insulators
• Topological insulators and superconductors
• Topological Field Theory of Time-Reversal Invariant Insulators
• Classification of topological quantum matter with symmetries
• Weyl Semimetal in a Topological Insulator Multilayer
• Quantized Electric Multipole Insulators
• Higher-Order Topological Insulators
• Topological Crystalline Insulators in the SnTe Material Class
• Electric Multipole Moments, Topological Multipole Moment Pumping, and Chiral Hinge States in Crystalline Insulators
• Phase transition between the quantum spin Hall and insulator phases in 3D: emergence of a topological gapless phase
• Topolectrical circuit realization of topological corner modes
• Reflection symmetric second-order topological insulators and superconductors
• Observation of a phononic quadrupole topological insulator
• Classification of stable three-dimensional Dirac semimetals with nontrivial topology
• Dynamical Quantum Phase Transitions in the Transverse Field Ising Model
• Surface States of the Topological Insulator Bi_{1-x}Sb_x
• Topological Crystalline Insulators and Topological Superconductors: From Concepts to Materials
• Topological Quantum Matter with Ultracold Gases in Optical Lattices
• Dynamical quantum phase transitions: a review
• Direct observation of dynamical quantum phase transitions in an interacting many-body system
• Photonic quadrupole topological phases
• Topology of crystalline insulators and superconductors
• Second-Order Topological Phases in Non-Hermitian Systems
• Second-order topological insulators and superconductors with an order-two crystalline symmetry
• Observation of a dynamical topological phase transition
• Classification of topological insulators and superconductors in the presence of reflection symmetry
• Symmetry indicators and anomalous surface states of topological crystalline insulators
• Topological classification with additional symmetries from Clifford algebras
• Dynamical Topological Order Parameters far from Equilibrium
• Topological classification of dynamical phase transitions
• Simulating dynamic quantum phase transitions in photonic quantum walks
• Topological Mirror Superconductivity
• Dynamical quantum phase transitions in systems with broken-symmetry phases
• Measuring topology by dynamics: Chern number from linking number
• Topological Euler class as a dynamical observable in optical lattices
• Uncover Topology by Quantum Quench Dynamics
• Measuring Topological Number of a Chern-Insulator from Quench Dynamics
• Quantum Quenches in Chern Insulators
• Dispersion of Fermi arcs in Weyl semimetals and their evolutions to Dirac cones
• Symmetry-Protected Majorana Fermions in Topological Crystalline Superconductors: Theory and Application to Sr2RuO4
• Dynamical Quantum Phase Transitions in the Kitaev Honeycomb Model
• Dynamical classification of topological quantum phases
• Universal phase diagrams for the quantum spin Hall systems
• Dynamical quantum phase transitions in non-Hermitian lattices
• Slow quenches in a quantum Ising chain; dynamical phase transitions and topology
• Observation of dynamical quantum phase transition by a superconducting qubit simulation
• Mixed state dynamical quantum phase transition and emergent topology
• Dynamical Topological Quantum Phase Transitions for Mixed States
• Floquet dynamical quantum phase transitions
• Dynamical quantum phase transitions: Role of topological nodes in wavefunction overlaps
• Dynamical topological invariant after a quantum quench
• Quench dynamics and zero-energy modes: the case of the Creutz model
• Dynamical Buildup of a Quantized Hall Response from Non-Topological States
• Out of equilibrium higher-order topological insulator: Floquet engineering and quench dynamics
• Topology of one dimensional quantum systems out of equilibrium
• Emergence of topological semimetals in gap closing in semiconductors without inversion symmetry
• Floquet dynamical phase transition and entanglement spectrum
• Second-order topological phases protected by chiral symmetry
• Topological Entanglement-Spectrum Crossing in Quench Dynamics
• Emergent topology and dynamical quantum phase transitions in two-dimensional closed quantum systems
• A bulk-boundary correspondence for dynamical phase transitions in one-dimensional topological insulators and superconductors
• Persistent Hall response in a quantum quench
• Measuring a Dynamical Topological Order Parameter in Quantum Walks
• Observation of dynamical phase transitions in a topological nanomechanical system
• Topological Invariants for Quantum Quench Dynamics from Unitary Evolution
• Classification of topological insulators and superconductors out of equilibrium
• Dynamical Topological Quantum Phase Transitions at Criticality
• Hall Response and Edge Current Dynamics in Chern Insulators out of Equilibrium
• Dynamical Quantum Phase Transitions in Extended Transverse Ising Models
• Disordered Kitaev chain with long-range pairing: Loschmidt echo revivals and dynamical phase transitions
• Type-II quadrupole topological insulators
• Quasiperiodic dynamical quantum phase transitions in multiband topological insulators and connections with entanglement entropy and fidelity susceptibility
• Entanglement polarization for the topological quadrupole phase
• Dynamical topological invariants and reduced rate functions for dynamical quantum phase transitions in two dimensions
• Stability of dynamical quantum phase transitions in quenched topological insulators: From multiband to disordered systems
• Dynamical quantum phase transitions in Weyl semimetals
• Detecting Bulk Topology of Quadrupolar Phase from Quench Dynamics
• Toeplitz operators on concave corners and topologically protected corner states
• Connecting dynamical quantum phase transitions and topological steady-state transitions by tuning the energy gap
• Generic phase diagram for Weyl superconductivity in mirror-symmetric superconductors

Cited by in corpus (12)

• Higher-order topological phases in crystalline and non-crystalline systems: a review
• Engineering Floquet Dynamical Quantum Phase Transition
• Dynamical bulk boundary correspondence and dynamical quantum phase transitions in higher order topological insulators
• Dynamical Quantum Phase Transitions Following Double Quenches: Persistence of the Initial State vs Dynamical Phases
• Fisher zeroes and dynamical quantum phase transitions for two- and three-dimensional models
• Probing Confinement Through Dynamical Quantum Phase Transitions: From Quantum Spin Models to Lattice Gauge Theories
• Quantum coherence assisted dynamical phase transition
• Dynamical quantum phase transitions from random matrix theory
• Spintronic Quantum Phase Transition in a $Graphene/P{b}_{0.24}S{n}_{0.76}Te$ Heterostructure with Giant Rashba Spin-Orbit Coupling
• The singularities of the rate function of quantum coherent work in one-dimensional transverse field Ising model
• Distinguishing dynamical quantum criticality through local fidelity distances
• A Dynamical Bulk-Boundary Correspondence in Two Dimensional Topological Matter