Reduction of the wave packet: Preferred observable and decoherence time scale

Journal Article · Fri Jan 15 00:00:00 EST 1993 · Physical Review, D (Particles Fields); (United States)

DOI:https://doi.org/10.1103/PhysRevD.47.488· OSTI ID:7119917

Paz, J P; Habib, S; Zurek, W H ^[1]

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1. Theoretical Astrophysics, T-6, Mail Stop B288, Los Alamos National Laboratory, Los Alamos, New Mexico 87545 (United States)

Environment-induced destruction of quantum coherence is investigated in a simple model where the system is a harmonic oscillator, the environment is a collection of harmonic oscillators, and the interaction between them is linear in the position coordinate of the system. We study decoherence for initial states consisting of coherent superpositions of two Gaussian wave packets in either position or momentum. A new measure of the effectiveness of decoherence appropriate to the model and choice of initial conditions is proposed. By studying the dependence of the decoherence rate on the location of the initial peaks of the Wigner function, we clarify the sense in which position is a preferred observable even though position eigenstates are not the pointer states of this model. We analyze decoherence in the low-temperature regime and show that the usual high-temperature'' approximation is remarkably accurate in its domain of applicability. We also examine the relationship between the decoherence process and the frequency distribution of the environment oscillators (in particular, we focus attention on a specific supra-Ohmic'' environment). Implications of our results for the quantum to classical transition in various contexts are briefly explored.

• OSTI ID: 7119917
• Journal Information: Physical Review, D (Particles Fields); (United States), Vol. 47:2; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
QUANTUM MECHANICS
HARMONIC OSCILLATOR MODELS
EIGENSTATES
HAMILTONIANS
HILBERT SPACE
SUPERSELECTION RULES
TEMPERATURE DEPENDENCE
WAVE PACKETS
BANACH SPACE
MATHEMATICAL MODELS
MATHEMATICAL OPERATORS
MATHEMATICAL SPACE
MECHANICS
QUANTUM OPERATORS
SELECTION RULES
SPACE
661100* - Classical & Quantum Mechanics- (1992-)