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Features of the Motion of Ultracold Atoms in Quasiperiodic Potentials.

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Title: Features of the Motion of Ultracold Atoms in Quasiperiodic Potentials.
Authors: Dynnikov, I.1 (AUTHOR), Maltsev, A.2 (AUTHOR) maltsev@itp.ac.ru
Source: Journal of Experimental & Theoretical Physics. Dec2021, Vol. 133 Issue 6, p711-736. 26p.
Subjects: Ultracold molecules, Hamiltonian systems, Atoms
Abstract: We consider here quasiperiodic potentials on the plane, which can serve as a "transitional link" between ordered (periodic) and chaotic (random) potentials. As can be shown, in almost any family of quasiperiodic potentials depending on a certain set of parameters, it is possible to distinguish a set (in the parameter space) where, according to a certain criterion, potentials with features of ordered potentials arise, and a set where we have potentials with features of random potentials. These sets complement each other in the complete parameter space, and each of them has its own specific structure. The difference between "ordered" and "chaotic" potentials will manifest itself, in particular, in the transport properties at different energies, which we consider here in relation to systems of ultracold atoms. It should be noted here also that the transport properties of particles in the considered potentials can be accompanied by the phenomena of "partial integrability" inherent in two-dimensional Hamiltonian systems. [ABSTRACT FROM AUTHOR]
Copyright of Journal of Experimental & Theoretical Physics is the property of Springer Nature and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
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  Data: Features of the Motion of Ultracold Atoms in Quasiperiodic Potentials.
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  Data: <searchLink fieldCode="AR" term="%22Dynnikov%2C+I%2E%22">Dynnikov, I.</searchLink><relatesTo>1</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Maltsev%2C+A%2E%22">Maltsev, A.</searchLink><relatesTo>2</relatesTo> (AUTHOR)<i> maltsev@itp.ac.ru</i>
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  Data: <searchLink fieldCode="JN" term="%22Journal+of+Experimental+%26+Theoretical+Physics%22">Journal of Experimental & Theoretical Physics</searchLink>. Dec2021, Vol. 133 Issue 6, p711-736. 26p.
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  Data: <searchLink fieldCode="DE" term="%22Ultracold+molecules%22">Ultracold molecules</searchLink><br /><searchLink fieldCode="DE" term="%22Hamiltonian+systems%22">Hamiltonian systems</searchLink><br /><searchLink fieldCode="DE" term="%22Atoms%22">Atoms</searchLink>
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  Data: We consider here quasiperiodic potentials on the plane, which can serve as a "transitional link" between ordered (periodic) and chaotic (random) potentials. As can be shown, in almost any family of quasiperiodic potentials depending on a certain set of parameters, it is possible to distinguish a set (in the parameter space) where, according to a certain criterion, potentials with features of ordered potentials arise, and a set where we have potentials with features of random potentials. These sets complement each other in the complete parameter space, and each of them has its own specific structure. The difference between "ordered" and "chaotic" potentials will manifest itself, in particular, in the transport properties at different energies, which we consider here in relation to systems of ultracold atoms. It should be noted here also that the transport properties of particles in the considered potentials can be accompanied by the phenomena of "partial integrability" inherent in two-dimensional Hamiltonian systems. [ABSTRACT FROM AUTHOR]
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  Data: <i>Copyright of Journal of Experimental & Theoretical Physics is the property of Springer Nature and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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        Value: 10.1134/S1063776121120025
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        Text: English
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        Type: general
      – SubjectFull: Hamiltonian systems
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      – SubjectFull: Atoms
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              Text: Dec2021
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