GCSs as pointer states

doi:10.1209/0295-5075/79/40003

Generalized coherent states as preferred states of open quantum systems

S. Boixo et al 2007 EPL 79 40003 (5pp) doi: 10.1209/0295-5075/79/40003

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S. Boixo^1,2, L. Viola³ and G. Ortiz⁴
¹ Department of Physics and Astronomy, University of New Mexico - Albuquerque, NM 87131, USA
² CCS-3: Modeling, Algorithms, and Informatics, Los Alamos National Laboratory Los Alamos, NM 87545, USA
³ Department of Physics and Astronomy, Dartmouth College, 6127 Wilder Laboratory Hanover, NH 03755, USA
⁴ Department of Physics, Indiana University - Bloomington, IN 47405, USA

Abstract. 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 numbers: 03.65.Yz, 03.67.Pp, 05.30.-d

Print publication: Issue 4 (August 2007)
Received 6 June 2007, accepted for publication 25 June 2007
Published 19 July 2007

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Generalized coherent states as preferred states of open quantum systems

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