Emerging topological characterization in non-equilibrium states of quenched Kitaev chains

Abstract

Topological characteristics of quantum systems are typically determined by the closing of a gap, while the dynamical quantum phase transition (DQPT) during quantum real-time evolution has emerged as a nonequilibrium analog to the quantum phase transition (QPT). In this paper, we illustrate that the system dynamics can be elucidated by considering the precession of a collection of free-pseudo spins under a magnetic field based on the exact results of extended Kitaev chains. The topology of the driven Hamiltonian is determined by the average winding number of the nonequilibrium state. Furthermore, we establish that the singularity of the DQPT arises from two perpendicular pseudo-spin vectors associated with the pre- and post-quenched Hamiltonians. Moreover, we investigate the distinct behaviors of the dynamic pairing order parameter in both topological and non-topological regions. These findings offer valuable insights into the non-equilibrium behavior of topological superconductors, contributing to the understanding of the resilience of topological properties in driven quantum systems.

6+7 pages, 3+5 figures

References in corpus (18)

• Probing many-body dynamics on a 51-atom quantum simulator
• Quantum Quench in the Transverse Field Ising Chain
• Quantum State Engineering and Precision Metrology using State-Insensitive Light Traps
• Entanglement entropy for the long range Ising chain
• Kitaev chains with long-range pairing
• Topological classification of dynamical phase transitions
• Synchronization in the BCS Pairing Dynamics as a Critical Phenomenon
• Dynamical phase transitions in the collisionless pre-thermal states of isolated quantum systems: theory and experiments
• Finite temperature dynamical quantum phase transition in a non-Hermitian system
• Relaxation to a Parity-Time Symmetric Generalized Gibbs Ensemble after a Quantum Quench in a Driven-Dissipative Kitaev Chain
• Quench dynamics and scaling laws in topological nodal loop semimetals
• 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
• Dynamic generation of nonequilibrium superconducting states in Kitaev chain
• Persistent anomaly in dynamical quantum phase transition in long-range non-Hermitian $p$-wave Kitaev chain
• Corner modes in non-Hermitian next-nearest-neighbor hopping model
• Majorana fermions in Kitaev chains side-coupled to normal metals
• Density matrix renormalization group study of the interacting Kitaev chain with quasi-periodic disorder

Cited by in corpus (1)

• Dynamics of Majorana zero modes across hybrid Kitaev chain