Related papers: Floquet systems with continuous dynamical symmetries: characterization, time-dependent Noether charge, and solvability

Floquet systems with continuous dynamical symmetries: characterization, time-dependent Noether charge, and solvability

URL: http://arxiv.org/abs/2308.02143v3
Date: Wed, 17 Jul 2024 23:11:45 GMT
Title: Floquet systems with continuous dynamical symmetries: characterization, time-dependent Noether charge, and solvability
Authors: Yukio Kaneko, Tatsuhiko N. Ikeda,
Abstract summary: We study quantum Floquet systems having continuous dynamical symmetry (CDS) Unlike the discrete ones, the CDS strongly constrains the possible Hamiltonians $H(t)$ and allows us to obtain all the Floquet states. Our results provide a systematic way of solving for Floquet states and explain how they avoid hybridization in quasienergy diagrams.
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License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Abstract: We study quantum Floquet (periodically-driven) systems having continuous dynamical symmetry (CDS) consisting of a time translation and a unitary transformation on the Hilbert space. Unlike the discrete ones, the CDS strongly constrains the possible Hamiltonians $H(t)$ and allows us to obtain all the Floquet states by solving a finite-dimensional eigenvalue problem. Besides, Noether's theorem leads to a time-dependent conservation charge, whose expectation value is time-independent throughout evolution. We exemplify these consequences of CDS in the seminal Rabi model, an effective model of a nitrogen-vacancy center in diamonds without strain terms, and Heisenberg spin models in rotating fields. Our results provide a systematic way of solving for Floquet states and explain how they avoid hybridization in quasienergy diagrams.

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