Probing topological states through the exact non-Markovian decoherence dynamics of a spin coupled to a spin bath in real-time domain

Abstract

In this paper, we explore the decoherence dynamics of a probing spin coupled to a spin bath, where the spin bath is given by a controllable 1D transverse-field Ising chain. The 1D transverse-field Ising chain with free-ends boundary condition is equivalent to a modified Kitaev model with non-local Majorana bound states in its topological phase. We find that the probing spin non-Markovian decoherence dynamics can manifest the topological structure of the spin chain. By controlling the external magnetic field on the Ising chain, we find the close relationships between the quantum phase transitions, the topological edge states, and the non-Markovian dynamics in real-time domain. We also investigate the corresponding quantum entanglement dynamics in this topological system.

17 pages, 10 figures

References in corpus (5)

• Quantum Simulation of Antiferromagnetic Spin Chains in an Optical Lattice
• Introduction to topological superconductivity and Majorana fermions
• Quantum Quench in the Transverse Field Ising Chain
• Exact non-Markovian cavity dynamics strongly coupled to a reservoir
• Time evolution during and after finite-time quantum quenches in the transverse-field Ising chain

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• Strong Coupling Quantum Thermodynamics with Renormalized Hamiltonian and Temperature
• Quantum transport theory of hybrid superconducting systems
• The differential conductance tunnel spectroscopy in an analytical solvable two-terminal Majorana device
• Stacked quantum Ising systems and quantum Ashkin-Teller model