Two-mode para-Bose number states

G. M. Saxena, C. L. Mehta

The construction of eigenstates of the square of annihilation operators for a two-mode para-Bose system is reported. Bose coherent states can be deduced from these eigenstates as a special case. These states are termed para-Bose coherent states. These states are degenerate. The expansion of the coherent states in terms of two-mode para-Bose energy eigenstates has been obtained and their salient properties are discussed. Also discussed is the uncertainty product of the square of position and momentum operators in the para-Bose coherent states for a two-mode system.

B. Mojaveri, Alireza Dehghani, R. Jafarzadeh Bahrbeig

In this paper, we introduce two classes of superposed states generated by a superposition of two single-mode para-Bose coherent states (CS) with arbitrary relative phase factors. The first class is superposition of two opposite para-Bose CS and second class consists of two para-Bose CS, [Formula: see text] out of phase with each other. These states are reduced to the well-known superposed single-mode CS of the simple harmonic oscillator when the deformation parameter tends to one. We study the nonclassical properties of the introduced states by evaluating their para-Bose Fock state distribution, second-order squeezing, Klyshko’s and Mandel’s parameters. We investigate the essential role of coherent and deformation parameters on their nonclassicality. We show that some nonclassical properties of these states are different from those of the even and odd coherent states. Finally, we present a simple scheme for the physical generation of the introduced states.

A. S. Pereira, A. S. Lemos, F. A. Brito

G. N. Brodimas, A. D. Jannussis, D. Sourlas +2 more

G. M. Saxena, C. L. Mehta

In this paper the squeezed states for a one mode para-bose system is considered and it will be shown that a recently published contradictory assertion that no such states exist is based on an erroneous consideration. It is found that the squeeze operator is identical for both the ordinary and para-bose systems. The uncertainties in the canonical variables q (position) and p (momentum) in the para-squeezed state are obtained. The normal ordered form of the para-squeeze operator is also obtained and is then used to write the number and the coordinate representation of the para-bose vacuum.