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 |
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Article number | 022103 |
Journal | Physical Review A - Atomic, Molecular, and Optical Physics |
Volume | 85 |
Issue number | 2 |
DOIs | |
Publication status | Published - 2012 Feb 3 |
ASJC Scopus subject areas
- Atomic and Molecular Physics, and Optics