Relaxation, thermalization and Markovian dynamics of two spins coupled to a spin bath

Abstract

It is shown that by fitting a Markovian quantum master equation to the numerical solution of the time-dependent Schrödinger equation of a system of two spin-1/2 particles interacting with a bath of up to 34 spin-1/2 particles, the former can describe the dynamics of the two-spin system rather well. The fitting procedure that yields this Markovian quantum master equation accounts for all non-Markovian effects in as much the general structure of this equation allows and yields a description that is incompatible with the Lindblad equation.

arXiv commentarXiv admin note: text overlap with arXiv:1605.06609

References in corpus (34)

• The foundations of statistical mechanics from entanglement: Individual states vs. averages
• Canonical Typicality
• Typicality for Generalized Microcanonical Ensembles
• Canonical Thermal Pure Quantum State
• Thermal Pure Quantum States at Finite Temperature
• Massive Parallel Quantum Computer Simulator
• Fast Algorithm for Finding the Eigenvalue Distribution of Very Large Matrices
• Dynamical typicality of quantum expectation values
• An efficient scheme for numerical simulations of the spin-bath decoherence
• Typical fast thermalization processes in closed many-body systems
• Non-Markovian quantum dynamics: Correlated projection superoperators and Hilbert space averaging
• Spin-current autocorrelations from single pure-state propagation
• Distribution of local entropy in the Hilbert space of bi-partite quantum systems: Origin of Jaynes' principle
• Extremely quick thermalization in a macroscopic quantum system for a typical nonequilibrium subspace
• Using non-Markovian measures to evaluate quantum master equations for photosynthesis
• Calculating the linear response functions of non-interacting electrons by the time-dependent Schroedinger equation
• Decoherence by a chaotic many-spin bath
• Dynamics of the Density Matrix in Contact with a Thermal Bath and the Quantum Master Equation
• Dissipative quantum dynamics with the Surrogate Hamiltonian approach. A comparison between spin and harmonic baths
• Master equation approach to line shape in dissipative systems
• Decoherence by a spin thermal bath: Role of the spin-spin interactions
• Decoherence by a spin thermal bath: Role of the spin-spin interactions and initial state of the bath
• Computational Methods for Simulating Quantum Computers
• Origin of the Canonical Ensemble: Thermalization with Decoherence
• Approach to equilbrium in nano-scale systems at finite temperatur
• Equilibration and Thermalization of Classical Systems
• Evolution of a quantum spin system to its ground state: Role of entanglement and interaction symmetry
• Quantum Decoherence Scaling with Bath Size: Importance of Dynamics, Connectivity, and Randomness
• Giant enhancement of quantum decoherence by frustrated environments
• Dynamics of open quantum spin systems: An assessment of the quantum master equation approach
• Quantum Decoherence at Finite Temperatures
• Quantum Decoherence and Thermalization at Finite Temperature within the Canonical Thermal State Ensemble
• Decoherence and pointer states in small antiferromagnets: A benchmark test
• Natural correlation between a system and a thermal reservoir

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