Dissipation-induced pure Gaussian state

Kei Koga, Naoki Yamamoto

Research output: Contribution to journalArticle

37 Citations (Scopus)

Abstract

This paper provides some necessary and sufficient conditions for a general Markovian Gaussian master equation to have a unique pure steady state. The conditions are described by simple matrix equations; thus the so-called environment engineering problem for pure-Gaussian-state preparation can be straightforwardly dealt with in the linear algebraic framework. In fact, based on one of those conditions, for an arbitrary given pure Gaussian state, we obtain a complete parametrization of the Gaussian master equation having that state as a unique steady state; this leads to a systematic procedure for engineering a desired dissipative system. We demonstrate some examples including Gaussian cluster states.

Original languageEnglish
Article number022103
JournalPhysical Review A - Atomic, Molecular, and Optical Physics
Volume85
Issue number2
DOIs
Publication statusPublished - 2012 Feb 3

Fingerprint

dissipation
engineering
preparation

ASJC Scopus subject areas

  • Atomic and Molecular Physics, and Optics

Cite this

Dissipation-induced pure Gaussian state. / Koga, Kei; Yamamoto, Naoki.

In: Physical Review A - Atomic, Molecular, and Optical Physics, Vol. 85, No. 2, 022103, 03.02.2012.

Research output: Contribution to journalArticle

@article{9d33399d3b5541478fb4e81d54609a17,
title = "Dissipation-induced pure Gaussian state",
abstract = "This paper provides some necessary and sufficient conditions for a general Markovian Gaussian master equation to have a unique pure steady state. The conditions are described by simple matrix equations; thus the so-called environment engineering problem for pure-Gaussian-state preparation can be straightforwardly dealt with in the linear algebraic framework. In fact, based on one of those conditions, for an arbitrary given pure Gaussian state, we obtain a complete parametrization of the Gaussian master equation having that state as a unique steady state; this leads to a systematic procedure for engineering a desired dissipative system. We demonstrate some examples including Gaussian cluster states.",
author = "Kei Koga and Naoki Yamamoto",
year = "2012",
month = "2",
day = "3",
doi = "10.1103/PhysRevA.85.022103",
language = "English",
volume = "85",
journal = "Physical Review A",
issn = "2469-9926",
publisher = "American Physical Society",
number = "2",

}

TY - JOUR

T1 - Dissipation-induced pure Gaussian state

AU - Koga, Kei

AU - Yamamoto, Naoki

PY - 2012/2/3

Y1 - 2012/2/3

N2 - This paper provides some necessary and sufficient conditions for a general Markovian Gaussian master equation to have a unique pure steady state. The conditions are described by simple matrix equations; thus the so-called environment engineering problem for pure-Gaussian-state preparation can be straightforwardly dealt with in the linear algebraic framework. In fact, based on one of those conditions, for an arbitrary given pure Gaussian state, we obtain a complete parametrization of the Gaussian master equation having that state as a unique steady state; this leads to a systematic procedure for engineering a desired dissipative system. We demonstrate some examples including Gaussian cluster states.

AB - This paper provides some necessary and sufficient conditions for a general Markovian Gaussian master equation to have a unique pure steady state. The conditions are described by simple matrix equations; thus the so-called environment engineering problem for pure-Gaussian-state preparation can be straightforwardly dealt with in the linear algebraic framework. In fact, based on one of those conditions, for an arbitrary given pure Gaussian state, we obtain a complete parametrization of the Gaussian master equation having that state as a unique steady state; this leads to a systematic procedure for engineering a desired dissipative system. We demonstrate some examples including Gaussian cluster states.

UR - http://www.scopus.com/inward/record.url?scp=84856694620&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84856694620&partnerID=8YFLogxK

U2 - 10.1103/PhysRevA.85.022103

DO - 10.1103/PhysRevA.85.022103

M3 - Article

VL - 85

JO - Physical Review A

JF - Physical Review A

SN - 2469-9926

IS - 2

M1 - 022103

ER -