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 admin note: text overlap with arXiv:1605.06609

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• The universal model of strong coupling at the nonlinear parametric resonance in open cavity-QED systems
• Lindblad dynamics from spatio-temporal correlation functions in nonintegrable spin-1/2 chains with different boundary conditions
• Interplay of decoherence and relaxation in a two-level system interacting with an infinite-temperature reservoir
• Lindblad quantum dynamics from correlation functions of classical spin chains
• Quantum typicality approach to energy flow between two spin-chain domains at different temperatures
• Boundary-driven magnetization transport in the spin-$1/2$ XXZ chain: Role of the system-bath coupling strength and timescales