Localization and integrability breaking in weakly interacting Floquet circuits

• URL: http://arxiv.org/abs/2311.02197v2
• Date: Mon, 1 Apr 2024 14:11:52 GMT
• Title: Localization and integrability breaking in weakly interacting Floquet circuits
• Authors: Dominik Hahn, Luis Colmenarez,
• Abstract summary: Floquet circuits can interpolate between non-interacting qubits, free propagation, generic interacting, and dual-unitary dynamics. We identify the operator entanglement entropy of the two-qubit gate as a good measure of the interaction strength.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: We present a family of Floquet circuits that can interpolate between non-interacting qubits, free propagation, generic interacting, and dual-unitary dynamics. We identify the operator entanglement entropy of the two-qubit gate as a good quantitative measure of the interaction strength. We test the persistence of localization in the vicinity of the non-interacting point by probing spectral statistics, decay of autocorrelators, and measuring entanglement growth. The finite-size analysis suggests that the many-body localized regime does not persist in the thermodynamic limit. Instead, our results are compatible with an integrability-breaking phenomenon.

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