0701242v2

related topics
{time, decoherence, evolution}
{classical, space, random}
{energy, gaussian, time}
{temperature, thermal, energy}
{spin, pulse, spins}
{state, algorithm, problem}
{energy, state, states}
{phase, path, phys}
{force, casimir, field}
{alice, bob, state}

Deterministic constant-temperature dynamics for dissipative quantum systems

Alessandro Sergi

abstract: A novel method is introduced in order to treat the dissipative dynamics of quantum systems interacting with a bath of classical degrees of freedom. The method is based upon an extension of the Nos\`e-Hoover chain (constant temperature) dynamics to quantum-classical systems. Both adiabatic and nonadiabatic numerical calculations on the relaxation dynamics of the spin-boson model show that the quantum-classical Nos\`e-Hoover chain dynamics represents the thermal noise of the bath in an accurate and simple way. Numerical comparisons, both with the constant energy calculation and with the quantum-classical Brownian motion treatment of the bath, show that the quantum-classical Nos\`e-Hoover Chain dynamics can be used to introduce dissipation in the evolution of a quantum subsystem even with just one degree of freedom for the bath. The algorithm can be computationally advantageous in modeling, within computer simulation, the dynamics of a quantum subsystem interacting with complex molecular environments.

oai_identifier:
oai:arXiv.org:quant-ph/0701242
categories:
quant-ph
comments:
Revised version
doi:
10.1088/1751-8113/40/17/F05
arxiv_id:
quant-ph/0701242
created:
2007-01-31
updated:
2007-03-08

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