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Article Dans Une Revue Journal of Physics A: Mathematical and Theoretical Année : 2024

Transition to chaos in extended systems and their quantum impurity models

Résumé

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 which 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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Dates et versions

hal-03876372 , version 1 (02-02-2024)

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Mahaveer Prasad, Hari Kumar Yadalam, Manas Kulkarni, Camille Aron. Transition to chaos in extended systems and their quantum impurity models. Journal of Physics A: Mathematical and Theoretical, 2024, 57 (1), pp.015308. ⟨10.1088/1751-8121/ad119c⟩. ⟨hal-03876372⟩
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