Eur. Phys. J. D 2, 175-180 (1998)
https://doi.org/10.1007/s100530050127

Quantum-state diffusion with adaptive noise

Huygens Laboratorium, Rijksuniversiteit Leiden, Postbus 9504, 2300 RA Leiden, The Netherlands

Corresponding author: ^a dorssel@molphys.leidenuniv.nl

Received: 31 July 1997
Revised: 12 February 1998
Accepted: 13 March 1998
Published online: 15 May 1998

Abstract

We present a scheme for stochastic quantum-state diffusion (QSD) with adaptive noise to calculate the time evolution of an arbitrary observable of an open system. The method is based on the fact that the observable is much less sensitive to adaptive noise than to noise with a random phase. Hence, the individual realisations of the expectation value of the observable stay closer to the average evolution and fewer realisations are required to obtain the ensemble average. This is illustrated by applying QSD to a driven two-level system using both randomly phased and adaptive noise. Applying QSD with adaptive noise to an undriven two-level system enables us to derive a deterministic Schrödinger equation that produces the exact evolution of an arbitrary observable.