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

TL;DR

This paper explores how tilted optical lattices induce localization transitions in interacting Bose-Einstein condensates, proposing their use for quantum sensing and analyzing critical behavior via theoretical models.

Contribution

It introduces a method to utilize BEC localization in tilted lattices as a platform for quantum critical sensing, combining theoretical analysis with practical implications.

Findings

Localization-delocalization transition signatures identified

Scaling behavior characterizes criticality in interacting BECs

Condensate wavefunction effectively probes quantum criticality

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.