|
| related topics |
| {operator, operators, space} |
| {group, space, representation} |
| {state, states, coherent} |
| {time, decoherence, evolution} |
| {temperature, thermal, energy} |
| {states, state, optimal} |
| {cos, sin, state} |
| {field, particle, equation} |
| {let, theorem, proof} |
|
Applications of Canonical Transformations
Subhashish Banerjee, Joachim Kupsch
abstract: Canonical transformations are defined and discussed along with the
exponential, the coherent and the ultracoherent vectors. It is shown that the
single-mode and the $n$-mode squeezing operators are elements of the group of
canonical transformations. An application of canonical transformations is made,
in the context of open quantum systems, by studying the effect of squeezing of
the bath on the decoherence properties of the system. Two cases are analyzed.
In the first case the bath consists of a massless bosonic field with the bath
reference states being the squeezed vacuum states and squeezed thermal states
while in the second case a system consisting of a harmonic oscillator
interacting with a bath of harmonic oscillators is analyzed with the bath being
initially in a squeezed thermal state.
- oai_identifier:
- oai:arXiv.org:quant-ph/0410209
- categories:
- quant-ph
- comments:
- 14 pages
- doi:
- 10.1088/0305-4470/38/23/011
- arxiv_id:
- quant-ph/0410209
- created:
- 2004-10-26
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