Generalized coherent states as preferred states of open quantum systems

被引:17
作者
Boixo, S. [1 ]
Viola, L.
Ortiz, G.
机构
[1] Univ New Mexico, Dept Phys & Astron, Albuquerque, NM 87131 USA
[2] Los Alamos Natl Lab, CCS Modeling Algorithms & Informat 3, Los Alamos, NM 87545 USA
[3] Dartmouth Coll, Dept Phys & Astron, Hanover, NH 03755 USA
[4] Indiana Univ, Dept Phys, Bloomington, IN 47405 USA
关键词
D O I
10.1209/0295-5075/79/40003
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
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. Copyright (C) EPLA, 2007.
引用
收藏
页数:5
相关论文
共 35 条
[1]   Quantum mechanical position operator and localization in extended systems [J].
Aligia, AA ;
Ortiz, G .
PHYSICAL REVIEW LETTERS, 1999, 82 (12) :2560-2563
[2]  
[Anonymous], 2006, QUANTUM INFORM INTRO, DOI DOI 10.1007/3-540-30266-2
[3]   ATOMIC COHERENT STATES IN QUANTUM OPTICS [J].
ARECCHI, FT ;
THOMAS, H ;
GILMORE, R ;
COURTENS, E .
PHYSICAL REVIEW A, 1972, 6 (06) :2211-&
[4]   A subsystem-independent generalization of entanglement [J].
Barnum, H ;
Knill, E ;
Ortiz, G ;
Somma, R ;
Viola, L .
PHYSICAL REVIEW LETTERS, 2004, 92 (10) :107902-1
[5]   Degradation of a quantum reference frame [J].
Bartlett, SD ;
Rudolph, T ;
Spekkens, RW ;
Turner, PS .
NEW JOURNAL OF PHYSICS, 2006, 8
[6]  
BOIXO S, 2007, UNPUB
[7]   Generalized uncertainty relations: Theory, examples, and Lorentz invariance [J].
Braunstein, SL ;
Caves, CM ;
Milburn, GJ .
ANNALS OF PHYSICS, 1996, 247 (01) :135-173
[8]  
Breuer H-P., 2007, The Theory of Open Quantum Systems
[9]   Multicomponent gap solitons in spinor Bose-Einstein condensates [J].
Dabrowska-Wuster, Beata J. ;
Ostrovskaya, Elena A. ;
Alexander, Tristram J. ;
Kivshar, Yuri S. .
PHYSICAL REVIEW A, 2007, 75 (02)
[10]   Predictability sieve, pointer states, and the classicality of quantum trajectories [J].
Dalvit, DAR ;
Dziarmaga, J ;
Zurek, WH .
PHYSICAL REVIEW A, 2005, 72 (06)