Quantum tomography of the superfluid-insulator transition for a mesoscopic atomtronic ring

• URL: http://arxiv.org/abs/2504.14505v1
• Date: Sun, 20 Apr 2025 06:17:10 GMT
• Title: Quantum tomography of the superfluid-insulator transition for a mesoscopic atomtronic ring
• Authors: Yehoshua Winsten, Doron Cohen,
• Abstract summary: We provide a phase-space perspective for the analysis of the superfluid-insulator transition for finite-size Bose-Hubbard circuits.<n>We explore how the eigenstates parametrically evolve as the inter-particle interaction is varied.<n>Finally we focus on the formation of the lowest Goldstone and Higgs bands.
• Score: 3.818125813905444
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We provide a phase-space perspective for the analysis of the superfluid-insulator transition for finite-size Bose-Hubbard circuits. We explore how the eigenstates parametrically evolve as the inter-particle interaction is varied, paying attention to the fingerprints of chaos at the quantum phase-transition. Consequently, we demonstrate that the tomographic spectrum reflects the existence of mixed-regions of chaos and quasi-regular motion in phase-space. This tomographic semiclassical approach is much more efficient and informative compared to the traditional ``level statistics" inspection. Of particular interest is the characterization of the fluctuations that are exhibited by the many-body eigenstates. In this context, we associate with each eigenstate a Higgs measure for the identification of amplitude modes of the order-parameter. Finally we focus on the formation of the lowest Goldstone and Higgs bands.

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