Two-step relaxation in local many-body Floquet systems

• URL: http://arxiv.org/abs/2301.06395v1
• Date: Mon, 16 Jan 2023 12:31:18 GMT
• Title: Two-step relaxation in local many-body Floquet systems
• Authors: Marko Znidaric
• Abstract summary: We show that in many situations relaxation proceeds in two phases with exponential decay but different relaxation rates. Namely, in the thermodynamic limit the relaxtion rate exhibits a jump at a critical time proportional to system's size.
• Score: 0.0
• License: http://creativecommons.org/licenses/by-nc-nd/4.0/
• Abstract: We want to understand how relaxation process from an initial non-generic state proceeds towards a long-time typical state reached under unitary quantum evolution. One would expect that after some initial correlation time relaxation will be a simple exponential decay with constant decay rate. We show that this is not necessarily the case. Studying various Floquet system where the propagator is composed of individual fixed two-qubit gates, and focusing on purity and out-of-time-ordered correlation functions, we find that in many situations relaxation proceeds in two phases with exponential decay but different relaxation rates. Namely, in the thermodynamic limit the relaxtion rate exhibits a jump at a critical time proportional to system's size.

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