Master equations with memory for systems driven by classical noise

J. D. Cresser; C. Facer

doi:10.1016/j.optcom.2009.10.052

Master equations with memory for systems driven by classical noise

J. D. Cresser^*, C. Facer

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

25 Citations (Scopus)

Abstract

A non-Markovian master equation is obtained for a two level atom driven by a phase noisy laser. The derivation is based on obtaining an equation for the density operator of the system averaged over the previous histories of the external noise. Averaging over the current value of the noise variable by means of the Zwanzig-Nakajima projection operator technique leads to a master equation with memory and a local-in-time master equation. The solutions to the resultant non-Markovian master equation, the structural properties of the equation, and the amenability of the equation to unravelling by the quantum trajectory method are all investigated.

Original language	English
Pages (from-to)	773-780
Number of pages	8
Journal	Optics Communications
Volume	283
Issue number	5
DOIs	https://doi.org/10.1016/j.optcom.2009.10.052
Publication status	Published - 1 Mar 2010

Keywords

master equations
non-Markovian
classical noise

Access to Document

10.1016/j.optcom.2009.10.052

Cite this

@article{e2e9253343964134af9af02a9f4ef40a,

title = "Master equations with memory for systems driven by classical noise",

abstract = "A non-Markovian master equation is obtained for a two level atom driven by a phase noisy laser. The derivation is based on obtaining an equation for the density operator of the system averaged over the previous histories of the external noise. Averaging over the current value of the noise variable by means of the Zwanzig-Nakajima projection operator technique leads to a master equation with memory and a local-in-time master equation. The solutions to the resultant non-Markovian master equation, the structural properties of the equation, and the amenability of the equation to unravelling by the quantum trajectory method are all investigated.",

keywords = "master equations, non-Markovian, classical noise",

author = "Cresser, {J. D.} and C. Facer",

year = "2010",

month = mar,

day = "1",

doi = "10.1016/j.optcom.2009.10.052",

language = "English",

volume = "283",

pages = "773--780",

journal = "Optics Communications",

issn = "0030-4018",

publisher = "Elsevier",

number = "5",

}

TY - JOUR

T1 - Master equations with memory for systems driven by classical noise

AU - Cresser, J. D.

AU - Facer, C.

PY - 2010/3/1

Y1 - 2010/3/1

N2 - A non-Markovian master equation is obtained for a two level atom driven by a phase noisy laser. The derivation is based on obtaining an equation for the density operator of the system averaged over the previous histories of the external noise. Averaging over the current value of the noise variable by means of the Zwanzig-Nakajima projection operator technique leads to a master equation with memory and a local-in-time master equation. The solutions to the resultant non-Markovian master equation, the structural properties of the equation, and the amenability of the equation to unravelling by the quantum trajectory method are all investigated.

AB - A non-Markovian master equation is obtained for a two level atom driven by a phase noisy laser. The derivation is based on obtaining an equation for the density operator of the system averaged over the previous histories of the external noise. Averaging over the current value of the noise variable by means of the Zwanzig-Nakajima projection operator technique leads to a master equation with memory and a local-in-time master equation. The solutions to the resultant non-Markovian master equation, the structural properties of the equation, and the amenability of the equation to unravelling by the quantum trajectory method are all investigated.

KW - master equations

KW - non-Markovian

KW - classical noise

UR - http://www.scopus.com/inward/record.url?scp=74049095918&partnerID=8YFLogxK

U2 - 10.1016/j.optcom.2009.10.052

DO - 10.1016/j.optcom.2009.10.052

M3 - Article

AN - SCOPUS:74049095918

VL - 283

SP - 773

EP - 780

JO - Optics Communications

JF - Optics Communications

SN - 0030-4018

IS - 5

ER -

Master equations with memory for systems driven by classical noise

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this