1104.1059 (Nitin Chandra)

Time dependent transitions with time-space noncommutativity & its
implications in Quantum Optics    [PDF]

Nitin Chandra

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 $\theta$. 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.

View original: http://arxiv.org/abs/1104.1059