SearcharxivSearch

arXiv · atom-ph/9510002

Quantum uncertainties in coupled harmonic oscillator

Abstract

In this paper we analyze the quantum uncertainties and the photon statistics in the interaction between the two modes of radiation by treating them as coupled harmonic oscillator with the motivation of controlling quantum properties of one light beam by another. Under the rotating wave approximation (RWA) we show that if initially one of the modes is coherent and the other one squeezed, then the squeezing and non-Poissonianness of the photon statistics can transfer from one mode to the other. We give a parametric study of these properties depending upon interaction time and the degree of initial squeezing in one of the modes.

Explore related subjects

Keep this discovery

BibTeXRIS

Abir Bandyopadhyay, Jagdish Rai. 1996-01-20. Quantum uncertainties in coupled harmonic oscillator. https://doi.org/10.1016/s0030-4018(97)00160-0

Cite the original work for its findings. Save a collection to share your selection of sources.

KEEP EXPLORING

Related papers

Direct Probing of Quantum Phase Space by Photon Counting

We propose a very simple experimental setup to measure, via photon counting, the overlap of the Wigner functions characterizing two single mode light beams. We show that this scheme can be applied to determine directly the phase space quasiprobability distribution of the single mode field and in a certain limit the Wigner function can be measured without use of tomographic reconstruction algorithms. The deleterious effects of non--unit photodetector efficiency are analyzed.

atom-ph

Can We Distinguish Between the Grand Canonical and the Canonical Ensemble in a BEC Experiment?

It is well known that at the thermodynamic limit there are no observable differences in the results obtained by grand canonical and canonical descriptions of a many-body system. In the present paper, we test the validity of this statement for finite systems using as an example an ensemble of bosons trapped in a 1D harmonic potential well. We have found an analytical formula for the canonical partition function and shown that, for 100 trapped atoms, the discrepancy between the grand canonical and canonical predictions for the condensate fraction reaches 10% in the vicinity of the Bose-Einstein threshold. This discrepancy decreases only logarithmically as the number of atoms increases. Furthermore we investigate numerically the case of a 3D "cigar-shape" trap in the range of parameters corresponding to current BEC experiments.

atom-ph