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This article is cited in 10 scientific papers (total in 10 papers)
Para-Grassmannian Coherent and Squeezed States for Pseudo-Hermitian $q$-Oscillator and their Entanglement
Yusef Maleki Department of Physics, University of Mohaghegh Ardabili, Ardabil, 179, Iran
Abstract:
In this parer, $q$-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 $SU_{q^{2k}}(2)$
and also $SU_{q^{2k}}(1,1)$. 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.
Keywords:
para-Grassmann variables; coherent state; squeezed state;
pseudo-Hermiticity; entanglement.
Received: May 27, 2011; in final form August 19, 2011; Published online August 25, 2011
Citation:
Yusef Maleki, “Para-Grassmannian Coherent and Squeezed States for Pseudo-Hermitian $q$-Oscillator and their Entanglement”, SIGMA, 7 (2011), 084, 20 pp.
Linking options:
https://www.mathnet.ru/eng/sigma642 https://www.mathnet.ru/eng/sigma/v7/p84
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