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arXiv · 1104.1059

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

Nitin Chandra
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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 $θ$. 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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Nitin Chandra. 2012-02-09. Time dependent transitions with time-space noncommutativity & its implications in Quantum Optics. https://doi.org/10.1088/1751-8113/45/1/015307

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