Probing topological states through the exact non-Markovian decoherence dynamics of a spin coupled to a spin bath in real-time domain
arXiv:2004.04380 · doi:10.1103/PhysRevB.102.035133
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.
arXiv comment17 pages, 10 figures
References in corpus (35)
- Unpaired Majorana fermions in quantum wires
- Paired states of fermions in two dimensions with breaking of parity and time-reversal symmetries, and the fractional quantum Hall effect
- Entanglement Entropy and Quantum Field Theory
- Entanglement in quantum critical phenomena
- Scaling of Entanglement close to a Quantum Phase Transitions
- Entanglement in a simple quantum phase transition
- Evolution of Entanglement Entropy in One-Dimensional Systems
- Quantum Simulation of Antiferromagnetic Spin Chains in an Optical Lattice
- Dynamical Quantum Phase Transitions in the Transverse Field Ising Model
- Introduction to topological superconductivity and Majorana fermions
- Realizing quantum Ising models in tunable two-dimensional arrays of single Rydberg atoms
- Quantum criticality in an Ising chain: experimental evidence for emergent E8 symmetry
- Quantum Quench in the Transverse Field Ising Chain
- Decay of Loschmidt Echo Enhanced by Quantum Criticality
- Direct observation of dynamical quantum phase transitions in an interacting many-body system
- Onset of a Quantum Phase Transition with a Trapped Ion Quantum Simulator
- General non-Markovian dynamics of open quantum systems
- A non-Markovian decoherence theory for double dot charge qubit
- Majorana zero modes in a quantum Ising chain with longer-ranged interactions
- Non-Markovianity, Loschmidt echo and criticality: a unified picture
- Topological Characterization of Extended Quantum Ising Models
- A nonequilibrium theory for transient transport dynamics in nanostructures via the Feynman-Vernon influence functional approach
- Topological Phase Transition without Gap Closing
- The 1D Ising model and topological order in the Kitaev chain
- Dynamics of entanglement entropy and entanglement spectrum crossing a quantum phase transition
- 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
- Non-Markovian dynamics of a microcavity coupled to a waveguide in photonic crystals
- Exact master equation and decoherence dynamics of Majorana zero modes under the gate-induced charge fluctuation
- Master equation approach to transient quantum transport incorporating with initial correlations
- Possibility of direct observation of edge Majorana modes in quantum chains
- Majorana charges, winding numbers and Chern numbers in quantum Ising models
- Buildup of Fano resonances in the time domain in a double quantum dot Aharonov-Bohm interferometer
- Decoherence in the quantum Ising model with transverse dissipative interaction in the strong coupling regime
- Decoherence and relaxation of topological states in extended quantum Ising models
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- Strong Coupling Quantum Thermodynamics with Renormalized Hamiltonian and Temperature
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- The differential conductance tunnel spectroscopy in an analytical solvable two-terminal Majorana device
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