A Floquet analysis perspective of driven light-matter interaction models

• URL: http://arxiv.org/abs/2403.17866v1
• Date: Tue, 26 Mar 2024 16:53:32 GMT
• Title: A Floquet analysis perspective of driven light-matter interaction models
• Authors: Jonas Larson,
• Abstract summary: We analyze the harmonically driven Jaynes-Cummings and Lipkin-Meshkov-Glick models using both numerical integration of time-dependent Hamiltonians and Floquet theory. For a separation of time-scales between the drive and intrinsic Rabi oscillations in the former model, the driving results in an effective periodic reversal of time. Despite the chaotic nature of the driven Lipkin-Meshkov-Glick model, moderate system sizes can display qualitatively different behaviors under varying system parameters.
• Score: 0.0
• License: http://creativecommons.org/publicdomain/zero/1.0/
• Abstract: In this paper, we analyze the harmonically driven Jaynes-Cummings and Lipkin-Meshkov-Glick models using both numerical integration of time-dependent Hamiltonians and Floquet theory. For a separation of time-scales between the drive and intrinsic Rabi oscillations in the former model, the driving results in an effective periodic reversal of time. The corresponding Floquet Hamilto- nian is a Wannier-Stark model, which can be analytically solved. Despite the chaotic nature of the driven Lipkin-Meshkov-Glick model, moderate system sizes can display qualitatively different behaviors under varying system parameters. Ergodicity arises in systems that are neither adiabatic nor diabatic, owing to repeated multi-level Landau-Zener transitions. Chaotic behavior, observed in slow driving, manifests as random jumps in the magnetization, suggesting potential utility as a random number generator. Furthermore, we discuss both models in terms of what we call Floquet Fock state lattices.

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