Instantaneous and dynamical decoherence

2017/06/30 by Janos Polonyi · 7 citations
Physics and Astronomy · #Anharmonicity #Arrow of time #Dynamical systems theory #Harmonic #Harmonic oscillator #Quantum #Quantum Electrodynamics and Casimir Effect #Quantum Mechanics and Applications #Quantum Mechanics and Non-Hermitian Physics #Quantum decoherence #Quantum dissipation #quant-ph

paper · pdf · doi:10.1088/1751-8121/aab0ad

published in Journal of Physics A Mathematical and Theoretical 51(14), 145302 (Institute of Physics) · Final version, to appear in J.Phys. A

openalex created_date 2017/07/14 · openalex publication_date 2018/02/20 · arxiv created 2018/03/01 · arxiv updated 2018/04/04 · openalex updated_date 2026/08/05

Abstract

Abstract Two manifestations of decoherence, called instantaneous and dynamical, are investigated. The former reflects the suppression of the interference between the components of the current state while the latter reflects that within the initial state. These types of decoherence are computed in the case of the Brownian motion and the harmonic and anharmonic oscillators within the semiclassical approximation. A remarkable phenomenon, namely the opposite orientation of the time arrow of the dynamical variables compared to that of the quantum fluctuations generates a double exponential time dependence of the dynamical decoherence in the presence of a harmonic force. For the weakly anharmonic oscillator the dynamical decoherence is found to depend in a singular way on the amount of the anharmonicity.

Citations

• The classical mechanics of non-conservative systems
• Test particle in a quantum gas
• Master Equation for a Quantum Particle in a Gas
• Quantum tunnelling in a dissipative system
• Pointer basis of quantum apparatus: Into what mixture does the wave packet collapse?
• Classical and quantum mechanics of the damped harmonic oscillator
• On the interpretation of measurement in quantum theory