Geometric approach to nonlinear coherent states using the Higgs model for harmonic oscillator

Details Geometric approach to nonlinear coherent states using the Higgs model for harmonic oscillator Geometric approach to nonlinear coherent states using the Higgs model for harmonic oscillator

2006-04-24

arxiv.org/abs/quant-ph/0604176v2

Physics

Quantum Physics

12 pages, 7 figs. To be appeared in J. Phys. A

Scientific paper

10.1088/0305-4470/39/22/014

In this paper, we investigate the relation between the curvature of the physical space and the deformation function of the deformed oscillator algebra using non-linear coherent states approach. For this purpose, we study two-dimensional harmonic oscillators on the flat surface and on a sphere by applying the Higgs modell. With the use of their algebras, we show that the two-dimensional oscillator algebra on a surface can be considered as a deformed one-dimensional oscillator algebra where the effect of the curvature of the surface is appeared as a deformation function. We also show that the curvature of the physical space plays the role of deformation parameter. Then we construct the associated coherent states on the flat surface and on a sphere and compare their quantum statistical properties, including quadrature squeezing and antibunching effect.

Affiliated with

Also associated with

No associations

Rating

Geometric approach to nonlinear coherent states using the Higgs model for harmonic oscillator does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Geometric approach to nonlinear coherent states using the Higgs model for harmonic oscillator, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Geometric approach to nonlinear coherent states using the Higgs model for harmonic oscillator will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-583438