Generalized $su(2)$ coherent states for the Landau levels and their nonclassical properties

Abstract

Following the lines of the recent papers [J. Phys. A: Math. Theor. 44, 495201 (2012); Eur. Phys. J. D 67, 179 (2013)], we construct here a new class of generalized coherent states related to the Landau levels, which can be used as the finite Fock subspaces for the representation of the $su(2)$ Lie algebra. We establish the relationship between them and the deformed truncated coherent states. We have, also, shown that they satisfy the resolution of the identity property through a positive definite measures on the complex plane. Their nonclassical and quantum statistical properties such as quadrature squeezing, higher order `$su(2)$' squeezing, anti-bunching and anti-correlation effects are studied in details. Particularly, the influence of the generalization on the nonclassical properties of two modes is clarified.

arXiv admin note: text overlap with arXiv:1212.6888, arXiv:1404.3277

References in corpus (8)

• The Construction of Some Important Classes of Generalized Coherent states: The Nonlinear Coherent States Method
• Quantum Hall Effect in Higher Dimensions, Matrix Models and Fuzzy Geometry
• Geometric approach to nonlinear coherent states using the Higgs model for harmonic oscillator
• Generalized $su(1,1)$ coherent states for pseudo harmonic oscillator and their nonclassical properties
• Berry's phase for coherent states of Landau levels
• Landau Levels as a Limiting Case of a Model with the Morse-Like Magnetic Field
• Coherent states of a particle in magnetic field and Stieltjes moment problem
• Multi-Resolution Analysis and Fractional Quantum Hall Effect: More Results

Cited by in corpus (1)

• Coherent states in the symmetric gauge for graphene under a constant perpendicular magnetic field