Transition to chaos in extended systems and their quantum impurity models

• URL: http://arxiv.org/abs/2205.01130v2
• Date: Thu, 30 Nov 2023 14:38:47 GMT
• Title: Transition to chaos in extended systems and their quantum impurity models
• Authors: Mahaveer Prasad, Hari Kumar Yadalam, Manas Kulkarni, Camille Aron
• Abstract summary: Chaos sets a fundamental limit to quantum-information processing schemes. We study the onset of chaos in spatially extended quantum many-body systems that are relevant to quantum optical devices.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: Chaos sets a fundamental limit to quantum-information processing schemes. We study the onset of chaos in spatially extended quantum many-body systems that are relevant to quantum optical devices. We consider an extended version of the Tavis-Cummings model on a finite chain. By studying level-spacing statistics, adjacent gap ratios, and spectral form factors, we observe the transition from integrability to chaos as the hopping between the Tavis-Cummings sites is increased above a finite value. The results are obtained by means of exact numerical diagonalization which becomes notoriously hard for extended lattice geometries. In an attempt to circumvent these difficulties, we identify a minimal single-site quantum impurity model that successfully captures the spectral properties of the lattice model. This approach is intended to be adaptable to other lattice models with large local Hilbert spaces.

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