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Generalized coherent states as preferred states of open quantum systems

S. Boixo1,2, L. Viola3 and G. Ortiz4

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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.


PACS

03.67.Pp Quantum error correction and other methods for protection against decoherence

05.30.-d Quantum statistical mechanics

03.65.Yz Decoherence; open systems; quantum statistical methods

Subjects

Quantum gases, liquids and solids

Computational physics

Statistical physics and nonlinear systems

Quantum information and quantum mechanics

Dates

Issue 4 (August 2007)

Received 6 June 2007, accepted for publication 25 June 2007

Published 19 July 2007



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