{"title":"Superposition and interference states in q-deformed quantum oscillator","authors":"Helda Alomeare, Ferhat Nutku, Ekrem Aydiner","doi":"10.1140/epjd/s10053-024-00855-1","DOIUrl":null,"url":null,"abstract":"<p>Wave functions and probability density functions of superposition states of a <i>q</i>-deformed harmonic oscillator are studied. It is found that the intensity of the <i>q</i> deformation parameter and the ratio of probability amplitudes in the superposition state determine the oscillation characteristic of the probability density function. In the Fourier spectrum of the probability density function, high-frequency components disappear as the system evolves to an undeformed state. It is shown that by superposing four-wave functions with the same deformation value <span>\\(q=0.001\\)</span>, an entangled state having sub-Planck features can be obtained, whereas two deformed states with the same <i>q</i> value do not constitute an entangled state.</p>","PeriodicalId":789,"journal":{"name":"The European Physical Journal D","volume":null,"pages":null},"PeriodicalIF":1.5000,"publicationDate":"2024-05-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"The European Physical Journal D","FirstCategoryId":"4","ListUrlMain":"https://link.springer.com/article/10.1140/epjd/s10053-024-00855-1","RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"OPTICS","Score":null,"Total":0}
引用次数: 0
Abstract
Wave functions and probability density functions of superposition states of a q-deformed harmonic oscillator are studied. It is found that the intensity of the q deformation parameter and the ratio of probability amplitudes in the superposition state determine the oscillation characteristic of the probability density function. In the Fourier spectrum of the probability density function, high-frequency components disappear as the system evolves to an undeformed state. It is shown that by superposing four-wave functions with the same deformation value \(q=0.001\), an entangled state having sub-Planck features can be obtained, whereas two deformed states with the same q value do not constitute an entangled state.
期刊介绍：
The European Physical Journal D (EPJ D) presents new and original research results in:
Atomic Physics;
Molecular Physics and Chemical Physics;
Atomic and Molecular Collisions;
Clusters and Nanostructures;
Plasma Physics;
Laser Cooling and Quantum Gas;
Nonlinear Dynamics;
Optical Physics;
Quantum Optics and Quantum Information;
Ultraintense and Ultrashort Laser Fields.
The range of topics covered in these areas is extensive, from Molecular Interaction and Reactivity to Spectroscopy and Thermodynamics of Clusters, from Atomic Optics to Bose-Einstein Condensation to Femtochemistry.
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