Floquet systems with continuous dynamical symmetries - characterization, time-dependent noether charge, and solvability
At a Glance
Section titled âAt a Glanceâ| Metadata | Details |
|---|---|
| Publication Date | 2024-07-04 |
| Journal | Physica Scripta |
| Authors | Yukio Kaneko, Tatsuhiko N. Ikeda |
| Institutions | Sony Computer Science Laboratories, Boston University |
Abstract
Section titled âAbstractâAbstract 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, Noetherâs 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.
Tech Support
Section titled âTech SupportâOriginal Source
Section titled âOriginal SourceâReferences
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