In this dissertation, we studied the generation of squeezed states induced by a timedependent
interaction and the in
uence of temperature on the strength of the squeezing
in a condensed matter model. The model studied comprised two quantum harmonic oscillators,
with a time-dependent, non-linear coupling between them. The in
uence of the
thermal bath on the non-equilibrium dynamics of the model was represented in terms of
non-Hamiltonian thermostats and a collection of independent harmonic oscillators with
Ohmic spectral density. The equations of motion were studied in the Wigner representation,
which introduces a phase space description for the model. The representation of the
system in quantum phase space allowed us to investigate the di erence between purely
classical evolution and the relative importance of quantum corrections with respect to the
dynamics. The dynamics was studied by means of computer simulation techniques. The
numerical simulation of the non-equilibrium statistical mechanics of both time-dependent
and non-linear interactions allowed us to investigate conditions beyond those in recent
literature [1, 2]. / Thesis (M.Sc.)-University of KwaZulu-Natal, Pietermaritzburg, 2013.
| Identifer | oai:union.ndltd.org:netd.ac.za/oai:union.ndltd.org:ukzn/oai:http://researchspace.ukzn.ac.za:10413/10758 |
| Date | January 2013 |
| Creators | Sewran, Sashwin. |
| Contributors | Sergi, A. |
| Source Sets | South African National ETD Portal |
| Language | en_ZA |
| Detected Language | English |
| Type | Thesis |
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