Decoherence time in self-induced decoherence

Abstract

A general method for obtaining the decoherence time in self-induced decoherence is presented. In particular, it is shown that such a time can be computed from the poles of the resolvent or of the initial conditions in the complex extension of the Hamiltonian's spectrum. Several decoherence times are estimated: $10^{-13}-$ $10^{-15}s$ for microscopic systems, and $10^{-37}-10^{-39}s$ for macroscopic bodies. For the particular case of a thermal bath, our results agree with those obtained by the einselection (environment-induced decoherence) approach.

11 pages

References in corpus (9)

• Decoherence, einselection, and the quantum origins of the classical
• Decoherence, the measurement problem, and interpretations of quantum mechanics
• Toward a Quantum Theory of Observation
• Decoherence without dissipation
• The self-induced approach to decoherence in cosmology
• General Theorems on Decoherence in the Thermodynamic Limit
• The classical-statistical limit of quantum mechanics
• The Gamow Functional
• The role of self-induced decoherence in the problem of the classical limit of quantum mechanics

Cited by in corpus (13)

• Decoherence: a closed-system approach
• A general theoretical framework for decoherence in open and closed systems
• The equilibrium limit of the Casati-Prosen model
• Predicting decoherence in discrete models
• Non-Hermitian Hamiltonians in decoherence and equilibrium theory
• On the classical limit of quantum mechanics, fundamental graininess and chaos: compatibility of chaos with the correspondence principle
• Formal features of a General Theoretical Framework for Decoherence in open and closed systems
• Foundations of quantum mechanics: decoherence and interpretation
• Lyapunov exponents and Hamiltonian poles in a non Hermitian dynamics
• The non-relativistic limit of (central-extended) Poincare group and some consequences for quantum actualization
• Decoherence, measurement and interpretation of quantum mechanics
• A modal-Hamiltonian interpretation of quantum mechanics
• Thermodynamic Limit and Decoherence: Rigorous Results