Time dependent transitions with time-space noncommutativity & its implications in Quantum Optics
arXiv:1104.1059 · doi:10.1088/1751-8113/45/1/015307
Abstract
We study the time dependent transitions of quantum forced harmonic oscillator (QFHO) in noncommutative $\mathds{R}^{1,1}$ perturbatively to linear order in the noncommutativity . We show that the Poisson distribution gets modified, and that the vacuum state evolves into a "squeezed" state rather than a coherent state. The time evolutions of uncertainties in position and momentum in vacuum are also studied and imply interesting consequences for modeling nonlinear phenomena in quantum optics.
15 pages, 4 figures
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