Dissipation-induced pure Gaussian state

Kei Koga, Naoki Yamamoto

Research output: Contribution to journalArticlepeer-review

62 Citations (Scopus)


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
Issue number2
Publication statusPublished - 2012 Feb 3

ASJC Scopus subject areas

  • Atomic and Molecular Physics, and Optics


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