Pseudoharmonic oscillator and their associated Gazeau–Klauder coherent states

Dušan Popov, Vjekoslav Sajfert and Ioan Zaharie

Physica A: Statistical Mechanics and its Applications, 2008, vol. 387, issue 16, 4459-4474

Abstract: In the paper we have constructed and examined the properties of the Gazeau–Klauder coherent states (GK-CSs) for the pseudoharmonic oscillator (PHO), one of three possible kinds in order to define the coherent states for this oscillator potential. In the second part, we have examined some nonclassical properties of these states. Our attention has been concentrated on the mixed states (thermal states). The diagonal P-representation of the corresponding density operator and some thermal expectations for the quantum canonical ideal gas of pseudoharmonic oscillators have also been examined. Like the CSs for the harmonic oscillator (HO), the GK-CSs for the PHO can be useful in the quantum information theory (QIT).

Keywords: Coherent state; Density operator; Quantum information; Qubit (search for similar items in EconPapers)
Date: 2008
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:387:y:2008:i:16:p:4459-4474

DOI: 10.1016/j.physa.2008.02.062

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