On the Schrödinger-Langevin picture and the Master Equation

M.O. CÁCERES; A.K. CHATTAH

PHYSICA A - STATISTICAL AND THEORETICAL PHYSICS

Elsevier

Año: 1996 vol. 234 p. 322 - 322

0378-4371

p class="MsoNormal" style="MARGIN: 0cm 0cm 0pt; mso-layout-grid-align: none">The temperature-dependent quantum master equation is derived by generalizing van Kampen's method. Starting with a stochastic Schrrdinger equation and taking into account the finite quantum correlation-time of the thermal bath, we have found a fluctuation-dissipation-like relation. The normalization and the Hermitian property of the reduced density matrix are guaranteed. To the lowest order of the Kubo number, a temperature-dependent Kossakowski-Lindblad map is found. A particular system is solved: the harmonic oscillator in interaction with a thermal bath of oscillators. The classical limit is also discussed. We have stressed the usefulness of this Schrrdinger-Langevin picture to study non