Averaged exact dynamics of a stochastic non-Markovian wave vector

Adrián A. Budini and Manuel O. Cáceres

Physica A: Statistical Mechanics and its Applications, 2001, vol. 292, issue 1, 383-391

Abstract: We find the exact dynamics – in mean value – for a particular model of the Schrödinger–Langevin equation that preserves norm for all realizations [J. Phys. A Math. Gen. 32 (1999) 631]. Using Novikov's theorem we prove that the dynamics generated by a stochastic Gaussian Hamiltonian gives for the density matrix an evolution governed by a non-local in time Kossakowki–Lindblad like generator. This model can help to study dissipation and decoherence beyond the Markovian approximation.

Keywords: Non-Markovian open system; Schrödinger–Langevin equation; Exact dynamics (search for similar items in EconPapers)
Date: 2001
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:292:y:2001:i:1:p:383-391

DOI: 10.1016/S0378-4371(00)00557-4

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