Para-Grassmannian Coherent and Squeezed States for Pseudo-Hermitian q -Oscillator and their Entanglement

Symmetry Integrability and Geometry-Methods and Applications

article

Yusef Maleki¹ 

[1] Department of Physics, University of Mohaghegh Ardabili

关键词: para-Grassmann variables;    coherent state;    squeezed state;    pseudo-Hermiticity;    entanglement;   

DOI  :  10.3842/SIGMA.2011.084

来源: National Academy of Science of Ukraine

【 摘 要 】

In this paper, q -deformed oscillator for pseudo-Hermitian systems is investigated and pseudo-Hermitian appropriate coherent and squeezed states are studied. Also, some basic properties of these states is surveyed. The over-completeness property of the para-Grassmannian pseudo-Hermitian coherent states (PGPHCSs) examined, and also the stability of coherent and squeezed states discussed. The pseudo-Hermitian supercoherent states as the product of a pseudo-Hermitian bosonic coherent state and a para-Grassmannian pseudo-Hermitian coherent state introduced, and the method also developed to define pseudo-Hermitian supersqueezed states. It is also argued that, for q -oscillator algebra of k +1 degree of nilpotency based on the changed ladder operators, defined in here, we can obtain deformed SU q 2 (2) and SU q 2 k (2) and also SU q 2 k (1,1). Moreover, the entanglement of multi-level para-Grassmannian pseudo-Hermitian coherent state will be considered. This is done by choosing an appropriate weight function, and integrating over tensor product of PGPHCSs.

【 授权许可】

Unknown