Bose-Einstein condensate sub-wavelength confinement via superoscillations

• URL: http://arxiv.org/abs/2508.09390v1
• Date: Tue, 12 Aug 2025 23:14:52 GMT
• Title: Bose-Einstein condensate sub-wavelength confinement via superoscillations
• Authors: Dusty R. Lindberg, Gerard McCaul, Peisong Peng, Lev Kaplan, Diyar Talbayev, Denys I. Bondar,
• Abstract summary: Sub-wavelength confinement can be achieved in blue-detuned optical lattices.<n>Superoscillations are a viable route to sub-wavelength BEC confinement in blue-detuned optical lattices.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: 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 \textit{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.

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