Dynamical symmetries of periodically-driven quantum systems and their spectroscopic signatures

• URL: http://arxiv.org/abs/2011.06758v2
• Date: Sat, 10 Sep 2022 02:28:55 GMT
• Title: Dynamical symmetries of periodically-driven quantum systems and their spectroscopic signatures
• Authors: Georg Engelhardt and Jianshu Cao
• Abstract summary: We study rotational, particle-hole, chiral and time-reversal symmetries and their signatures in spectroscopy. Our predictions reveal new physical phenomena when a quantum system reaches the strong light-matter coupling regime.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: Spatial symmetries of quantum systems leads to important effects in spectroscopy, such as selection rules and dark states. Motivated by the increasing strength of light-matter interaction achieved in recent experiments, we investigate a set of dynamically-generalized symmetries for quantum systems, which are subject to a strong periodic driving. Based on Floquet response theory, we study rotational, particle-hole, chiral and time-reversal symmetries and their signatures in spectroscopy, including symmetry-protected dark states (spDS), a Floquet band selection rule (FBSR), and symmetry-induced transparency (siT). Specifically, a dynamical rotational symmetry establishes dark state conditions, as well as selection rules for inelastic light scattering processes; a particle-hole symmetry introduces dark states for symmetry related Floquet states and also a transparency effect at quasienergy crossings; chiral symmetry and time-reversal symmetry alone do not imply dark state conditions, but can be combined to the particle-hole symmetry. Our predictions reveal new physical phenomena when a quantum system reaches the strong light-matter coupling regime, important for superconducting qubits, atoms and molecules in optical or plasmonic field cavities, and optomechanical systems.

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