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

Details Time dependent transitions with time-space noncommutativity & its implications in Quantum Optics Time dependent transitions with time-space noncommutativity & its implications in Quantum Optics

2011-04-06

arxiv.org/abs/1104.1059v3

J. Phys. A: Math. Theor. 45 (2012) 015307

Physics

High Energy Physics

High Energy Physics - Theory

15 pages, 4 figures

Scientific paper

10.1088/1751-8113/45/1/015307

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.

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