Time-dependent transitions with time-space noncommutativity and its implications in quantum optics

Chandra, Nitin (2012) Time-dependent transitions with time-space noncommutativity and its implications in quantum optics. In: Journal of Mathematical Physics, 45 (1).

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Abstract

We study the time-dependent transitions of a quantum-forced harmonic oscillator in noncommutative 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.

Item Type:	Journal Article
Publication:	Journal of Mathematical Physics
Publisher:	IOP Publishing ltd
Additional Information:	Copyright of this article belongs to IOP Publishing ltd.
Department/Centre:	Division of Physical & Mathematical Sciences > Centre for High Energy Physics
Date Deposited:	24 Jan 2012 12:01
Last Modified:	24 Jan 2012 12:01
URI:	http://eprints.iisc.ac.in/id/eprint/43133

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