Issue
EPL
Volume 79, Number 4, August 2007
Article Number 40003
Number of page(s) 5
Section General
DOI http://dx.doi.org/10.1209/0295-5075/79/40003
Published online 19 July 2007
EPL, 79 (2007) 40003
DOI: 10.1209/0295-5075/79/40003

Generalized coherent states as preferred states of open quantum systems

S. Boixo1, 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


received 6 June 2007; accepted in final form 25 June 2007; published August 2007
published online 19 July 2007

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
03.65.Yz - Decoherence; open systems; quantum statistical methods.
03.67.Pp - Quantum error correction and other methods for protection against decoherence.
05.30.-d - Quantum statistical mechanics.

© Europhysics Letters Association 2007