Bose-Einstein condensate sub-wavelength confinement via superoscillations
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arXiv
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| Main Authors: | , , , , , |
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| Format: | Preprint |
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2025
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| _version_ | 1866908710505283584 |
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| author | Lindberg, Dusty R. McCaul, Gerard Peng, Peisong Kaplan, Lev Talbayev, Diyar Bondar, Denys I. |
| author_facet | Lindberg, Dusty R. McCaul, Gerard Peng, Peisong Kaplan, Lev Talbayev, Diyar Bondar, Denys I. |
| contents | Optical lattices are essential tools in ultra-cold atomic physics. Here we demonstrate theoretically that sub-wavelength confinement can be achieved in these lattices through superoscillations. This generic wave phenomenon occurs when a local region of the wave oscillates faster than any of the frequencies in its global Fourier decomposition. To illustrate how sub-wavelength confinement can be achieved via superoscillations, we consider a one-dimensional tri-chromatic optical potential confining a spinless Bose-Einstein Condensate of $^{87}$Rb atoms. By numerical optimization of the relative phases and amplitudes of the optical trap's frequency components, it is possible to generate superoscillatory spatial regions. Such regions contain multiple density peaks at sub-wavelength spacing. This work establishes superoscillations as a viable route to sub-wavelength BEC confinement in blue-detuned optical lattices. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_09390 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Bose-Einstein condensate sub-wavelength confinement via superoscillations Lindberg, Dusty R. McCaul, Gerard Peng, Peisong Kaplan, Lev Talbayev, Diyar Bondar, Denys I. Quantum Gases Optics Quantum Physics Optical lattices are essential tools in ultra-cold atomic physics. Here we demonstrate theoretically that sub-wavelength confinement can be achieved in these lattices through superoscillations. This generic wave phenomenon occurs when a local region of the wave oscillates faster than any of the frequencies in its global Fourier decomposition. To illustrate how sub-wavelength confinement can be achieved via superoscillations, we consider a one-dimensional tri-chromatic optical potential confining a spinless Bose-Einstein Condensate of $^{87}$Rb atoms. By numerical optimization of the relative phases and amplitudes of the optical trap's frequency components, it is possible to generate superoscillatory spatial regions. Such regions contain multiple density peaks at sub-wavelength spacing. This work establishes superoscillations as a viable route to sub-wavelength BEC confinement in blue-detuned optical lattices. |
| title | Bose-Einstein condensate sub-wavelength confinement via superoscillations |
| topic | Quantum Gases Optics Quantum Physics |
| url | https://arxiv.org/abs/2508.09390 |