Time dependent transitions with time-space noncommutativity & its implications in Quantum Optics
Abstract
We study the time dependent transitions of quantum forced harmonic oscillator (QFHO) in noncommutative R1,1 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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