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 language | English |
|---|---|
| Article number | 022103 |
| Journal | Physical Review A - Atomic, Molecular, and Optical Physics |
| Volume | 85 |
| Issue number | 2 |
| DOIs | |
| Publication status | Published - 2012 Feb 3 |
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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 journal › Article
}
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 -