Negative binomial states for the pseudoharmonic oscillator
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2013
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In this paper we examine some of the statistical properties of the negative binomial states (NBSs) that are a superposition of the number of states with appropriately chosen coefficients, but on the basis of Fock-vectors, which correspond to the pseudoharmonic oscillator. These states have the coherent states' behaviour not only for the harmonic limit. We examine the expectation values of the integer powers of the number operator N, which is useful when calculating Mandel's parameter for these states. Depending on the value of this parameter, we can determine the statistical behaviour of the NBSs, where these states are: sub-Poissonian, Poissonian and supra-Poissonian. Meijer's G-functions formalism was used in the calculation.
Izvor:
Physica Scripta, 2013Finansiranje / projekti:
- European Social Fund-Investing in People POSDRU/21/1.5/G/13798
- Novi pristup problemima zasnivanja kvantne mehanike sa aspekta primene u kvantnim tehnologijama i interpretacijama signala različitog porekla (RS-MESTD-Basic Research (BR or ON)-171028)
- Generisanje i karakterizacija nanofotonskih funkcionalnih struktura u biomedicini i informatici (RS-MESTD-Integrated and Interdisciplinary Research (IIR or III)-45016)
DOI: 10.1088/0031-8949/2013/T153/014051
ISSN: 0031-8949
WoS: 000316953400052
Scopus: 2-s2.0-84875859720
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GraFarTY - JOUR AU - Popov, Dejan AU - Pop, Nicolina AU - Davidović, Milena PY - 2013 UR - https://grafar.grf.bg.ac.rs/handle/123456789/521 AB - In this paper we examine some of the statistical properties of the negative binomial states (NBSs) that are a superposition of the number of states with appropriately chosen coefficients, but on the basis of Fock-vectors, which correspond to the pseudoharmonic oscillator. These states have the coherent states' behaviour not only for the harmonic limit. We examine the expectation values of the integer powers of the number operator N, which is useful when calculating Mandel's parameter for these states. Depending on the value of this parameter, we can determine the statistical behaviour of the NBSs, where these states are: sub-Poissonian, Poissonian and supra-Poissonian. Meijer's G-functions formalism was used in the calculation. T2 - Physica Scripta T1 - Negative binomial states for the pseudoharmonic oscillator DO - 10.1088/0031-8949/2013/T153/014051 ER -
@article{ author = "Popov, Dejan and Pop, Nicolina and Davidović, Milena", year = "2013", abstract = "In this paper we examine some of the statistical properties of the negative binomial states (NBSs) that are a superposition of the number of states with appropriately chosen coefficients, but on the basis of Fock-vectors, which correspond to the pseudoharmonic oscillator. These states have the coherent states' behaviour not only for the harmonic limit. We examine the expectation values of the integer powers of the number operator N, which is useful when calculating Mandel's parameter for these states. Depending on the value of this parameter, we can determine the statistical behaviour of the NBSs, where these states are: sub-Poissonian, Poissonian and supra-Poissonian. Meijer's G-functions formalism was used in the calculation.", journal = "Physica Scripta", title = "Negative binomial states for the pseudoharmonic oscillator", doi = "10.1088/0031-8949/2013/T153/014051" }
Popov, D., Pop, N.,& Davidović, M.. (2013). Negative binomial states for the pseudoharmonic oscillator. in Physica Scripta. https://doi.org/10.1088/0031-8949/2013/T153/014051
Popov D, Pop N, Davidović M. Negative binomial states for the pseudoharmonic oscillator. in Physica Scripta. 2013;. doi:10.1088/0031-8949/2013/T153/014051 .
Popov, Dejan, Pop, Nicolina, Davidović, Milena, "Negative binomial states for the pseudoharmonic oscillator" in Physica Scripta (2013), https://doi.org/10.1088/0031-8949/2013/T153/014051 . .