Generalized Coherent States as Preferred States of Open Quantum Systems

Details Generalized Coherent States as Preferred States of Open Quantum Systems Generalized Coherent States as Preferred States of Open Quantum Systems

2006-09-09

arxiv.org/abs/quant-ph/0609068v3

EPL, 79 (2007) 40003

Physics

Quantum Physics

5 pages, no figures; Significantly improved presentation, new derivation of invariant uncertainty measure via quantum Fisher i

Scientific paper

10.1209/0295-5075/79/40003

We investigate the connection between quasi-classical (pointer) states and generalized coherent states (GCSs) within an algebraic approach to Markovian quantum systems (including bosons, spins, and fermions). We establish conditions for the GCS set to become most robust by relating the rate of purity loss to an invariant measure of uncertainty derived from quantum Fisher information. We find that, for damped bosonic modes, the stability of canonical coherent states is confirmed in a variety of scenarios, while for systems described by (compact) Lie algebras stringent symmetry constraints must be obeyed for the GCS set to be preferred. The relationship between GCSs, minimum-uncertainty states, and decoherence-free subspaces is also elucidated.

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