Year: 2009
Type: article
Abstract: A pure quantum state of large number $N$ of oscillators, interacting via harmonic coupling, evolves such that any small subsystem $n⪡N$ of the global state approaches equilibrium. This provides a different example where stationarity emerges as natural phenomena under quantum dynamics alone, with no necessity to bring in any additional statistical postulates. Mixedness of equilibrated subsystems consisting of $1,2,\dots{},n⪡N$ clearly indicates that small subsystems are entangled with the rest of the state, i.e., the bath. Every single mode oscillator is found to relax in a mixed density matrix of the Boltzmann canonical form. In two oscillator stationary subsystems, intraentanglement within the ``system'' oscillators is found to exist when the magnitude of the squeezing parameter of the bath is comparable in magnitude with that of the coupling strength.
Source: Physical Review E
Authors: A. R. Usha Devi, A. K. Rajagopal
Institutions: University of Bristol, Inspire Institute, Bangalore University
Language: English
Subfield: Statistical and Nonlinear Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W1978497789