Year: 2013
Type: dissertation
Abstract: In this dissertation, we studied the generation of squeezed states induced by a timedependent \ninteraction and the in \nuence of temperature on the strength of the squeezing \nin a condensed matter model. The model studied comprised two quantum harmonic oscillators, \nwith a time-dependent, non-linear coupling between them. The in \nuence of the \nthermal bath on the non-equilibrium dynamics of the model was represented in terms of \nnon-Hamiltonian thermostats and a collection of independent harmonic oscillators with \nOhmic spectral density. The equations of motion were studied in the Wigner representation, \nwhich introduces a phase space description for the model. The representation of the \nsystem in quantum phase space allowed us to investigate the di erence between purely \nclassical evolution and the relative importance of quantum corrections with respect to the \ndynamics. The dynamics was studied by means of computer simulation techniques. The \nnumerical simulation of the non-equilibrium statistical mechanics of both time-dependent \nand non-linear interactions allowed us to investigate conditions beyond those in recent \nliterature [1, 2].
Author: Sashwin Sewran
Language: English
Subfield: Statistical and Nonlinear Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W2217170136