Tilt-Induced Localization in Interacting Bose-Einstein Condensates for Quantum Sensing

• URL: http://arxiv.org/abs/2506.06173v1
• Date: Fri, 06 Jun 2025 15:36:47 GMT
• Title: Tilt-Induced Localization in Interacting Bose-Einstein Condensates for Quantum Sensing
• Authors: Argha Debnath, Mariusz Gajda, Debraj Rakshit,
• Abstract summary: We investigate localization transitions in interacting Bose-Einstein condensates confined in tilted optical lattices.<n>Our results reveal clear signatures of a localization-delocalization transition driven by the linear potential.<n>We propose the use of interacting BECs in tilted lattices as a platform for quantum critical sensing.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: We investigate localization transitions in interacting Bose-Einstein condensates (BECs) confined in tilted optical lattices, focusing on both the continuum limit accessed via shallow lattice depths and the tight-binding limit realized in the deep lattice regime. Utilizing the Gross-Pitaevskii equation (GPE) and the many-body Bose-Hubbard model, we analyze the scaling behavior of localization indicators, such as the root mean square width and fidelity susceptibility, as a function of the applied tilt. Our results reveal clear signatures of a localization-delocalization transition driven by the linear potential, with scaling properties that characterize criticality even in the presence of interactions within the GPE description. Despite the single-mode nature of the condensate wavefunction, we demonstrate that it can effectively probe quantum criticality. Building on this, we propose the use of interacting BECs in tilted lattices as a platform for quantum critical sensing, where the condensate wavefunction serves both as a sensitive probe of localization and a practical resource for quantum-enhanced metrology. This approach opens new avenues for precision gradient sensing based on localization phenomena in bosonic systems.

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