Floquet dynamics of ultracold atoms in optical lattices with a parametrically modulated trapping potential
Experiments with ultracold atoms in optical lattices usually involve a weak parabolic trapping potential which merely serves to confine the atoms, but otherwise remains negligible. In contrast, we suggest a different class of experiments in which the presence of a stronger trap is an essential part...
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| Language: | English |
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IOP Publishing
2024-01-01
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| Series: | New Journal of Physics |
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| Online Access: | https://doi.org/10.1088/1367-2630/ad9b47 |
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| author | Usman Ali Martin Holthaus Torsten Meier |
| author_facet | Usman Ali Martin Holthaus Torsten Meier |
| author_sort | Usman Ali |
| collection | DOAJ |
| description | Experiments with ultracold atoms in optical lattices usually involve a weak parabolic trapping potential which merely serves to confine the atoms, but otherwise remains negligible. In contrast, we suggest a different class of experiments in which the presence of a stronger trap is an essential part of the set-up. Because the trap-modified on-site energies exhibit a slowly varying level spacing, similar to that of an anharmonic oscillator, an additional time-periodic trap modulation with judiciously chosen parameters creates nonlinear resonances which enable efficient Floquet engineering. We employ a Mathieu approximation for constructing the near-resonant Floquet states in an accurate manner and demonstrate the emergence of effective ground states from the resonant trap eigenstates. Moreover, we show that the population of the Floquet states is strongly affected by the phase of a sudden turn-on of the trap modulation, which leads to significantly modified and rich dynamics. As a guideline for further studies, we argue that the deliberate population of only the resonance-induced effective ground states will allow one to realize Floquet condensates which follow classical periodic orbits, thus providing challenging future perspectives for the investigation of the quantum–classical correspondence. |
| format | Article |
| id | doaj-art-29a545d2c07a47fe88b806c0a00aa74e |
| institution | Kabale University |
| issn | 1367-2630 |
| language | English |
| publishDate | 2024-01-01 |
| publisher | IOP Publishing |
| record_format | Article |
| series | New Journal of Physics |
| spelling | doaj-art-29a545d2c07a47fe88b806c0a00aa74e2024-12-16T11:19:09ZengIOP PublishingNew Journal of Physics1367-26302024-01-01261212301610.1088/1367-2630/ad9b47Floquet dynamics of ultracold atoms in optical lattices with a parametrically modulated trapping potentialUsman Ali0https://orcid.org/0009-0004-4118-0666Martin Holthaus1https://orcid.org/0000-0002-4676-4896Torsten Meier2https://orcid.org/0000-0001-8864-2072Department of Physics, Paderborn University , D-33098 Paderborn, GermanyInstitut für Physik, Carl von Ossietzky Universität , D-26111 Oldenburg, GermanyDepartment of Physics, Paderborn University , D-33098 Paderborn, GermanyExperiments with ultracold atoms in optical lattices usually involve a weak parabolic trapping potential which merely serves to confine the atoms, but otherwise remains negligible. In contrast, we suggest a different class of experiments in which the presence of a stronger trap is an essential part of the set-up. Because the trap-modified on-site energies exhibit a slowly varying level spacing, similar to that of an anharmonic oscillator, an additional time-periodic trap modulation with judiciously chosen parameters creates nonlinear resonances which enable efficient Floquet engineering. We employ a Mathieu approximation for constructing the near-resonant Floquet states in an accurate manner and demonstrate the emergence of effective ground states from the resonant trap eigenstates. Moreover, we show that the population of the Floquet states is strongly affected by the phase of a sudden turn-on of the trap modulation, which leads to significantly modified and rich dynamics. As a guideline for further studies, we argue that the deliberate population of only the resonance-induced effective ground states will allow one to realize Floquet condensates which follow classical periodic orbits, thus providing challenging future perspectives for the investigation of the quantum–classical correspondence.https://doi.org/10.1088/1367-2630/ad9b47periodically driven optical latticesFloquet statesquantum–classical correspondenceMathieu equationFloquet engineering |
| spellingShingle | Usman Ali Martin Holthaus Torsten Meier Floquet dynamics of ultracold atoms in optical lattices with a parametrically modulated trapping potential New Journal of Physics periodically driven optical lattices Floquet states quantum–classical correspondence Mathieu equation Floquet engineering |
| title | Floquet dynamics of ultracold atoms in optical lattices with a parametrically modulated trapping potential |
| title_full | Floquet dynamics of ultracold atoms in optical lattices with a parametrically modulated trapping potential |
| title_fullStr | Floquet dynamics of ultracold atoms in optical lattices with a parametrically modulated trapping potential |
| title_full_unstemmed | Floquet dynamics of ultracold atoms in optical lattices with a parametrically modulated trapping potential |
| title_short | Floquet dynamics of ultracold atoms in optical lattices with a parametrically modulated trapping potential |
| title_sort | floquet dynamics of ultracold atoms in optical lattices with a parametrically modulated trapping potential |
| topic | periodically driven optical lattices Floquet states quantum–classical correspondence Mathieu equation Floquet engineering |
| url | https://doi.org/10.1088/1367-2630/ad9b47 |
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