|
| related topics |
| {energy, gaussian, time} |
| {state, states, coherent} |
| {equation, function, exp} |
| {time, decoherence, evolution} |
| {cos, sin, state} |
| {time, wave, function} |
| {bell, inequality, local} |
|
One-Parameter Squeezed Gaussian States of Time-Dependent Harmonic
Oscillator and Selection Rule for Vacuum States
Jung Kon Kim, Sang Pyo Kim
abstract: By using the invariant method we find one-parameter squeezed Gaussian states
for both time-independent and time-dependent oscillators. The squeezing
parameter is expressed in terms of energy expectation value for
time-independent case and represents the degree of mixing positive and negative
frequency solutions for time-dependent case. A {\it minimum uncertainty
proposal} is advanced to select uniquely vacuum states at each moment of time.
We show that the Gaussian states with minimum uncertainty coincide with the
true vacuum state for time-independent oscillator and the Bunch-Davies vacuum
for a massive scalar field in a de Sitter spacetime.
- oai_identifier:
- oai:arXiv.org:quant-ph/9806096
- categories:
- quant-ph
- comments:
- 13 Pages, ReVTeX, no figures
- doi:
- 10.1088/0305-4470/32/14/012
- arxiv_id:
- quant-ph/9806096
- journal_ref:
- J.Phys.A32:2711-2718,1999
- created:
- 1998-06-30
- updated:
- 1998-11-06
Full article ▸
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