Observation of Symmetry-Protected Selection Rules in Periodically Driven Quantum Systems

Periodically driven quantum systems, known as Floquet systems, have been a focus of non-equilibrium physics in recent years, thanks to their rich dynamics. Not only time-periodic systems exhibit symmetries similar to those in spatially periodic systems, but they also display novel behavior due to...

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Päätekijät: Wang, Guoqing, Li, Changhao, Cappellaro, Paola
Muut tekijät: Massachusetts Institute of Technology. Department of Nuclear Science and Engineering
Aineistotyyppi: Artikkeli
Kieli:English
Julkaistu: American Physical Society (APS) 2023
Linkit:https://hdl.handle.net/1721.1/147123
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author Wang, Guoqing
Li, Changhao
Cappellaro, Paola
author2 Massachusetts Institute of Technology. Department of Nuclear Science and Engineering
author_facet Massachusetts Institute of Technology. Department of Nuclear Science and Engineering
Wang, Guoqing
Li, Changhao
Cappellaro, Paola
author_sort Wang, Guoqing
collection MIT
description Periodically driven quantum systems, known as Floquet systems, have been a focus of non-equilibrium physics in recent years, thanks to their rich dynamics. Not only time-periodic systems exhibit symmetries similar to those in spatially periodic systems, but they also display novel behavior due to symmetry breaking. Characterizing such dynamical symmetries is crucial, but the task is often challenging, due to limited driving strength and the lack of an experimentally accessible characterization protocol. Here, we show how to characterize dynamical symmetries including parity, rotation, and particle-hole symmetry by observing the symmetry-induced selection rules between Floquet states. Specifically, we exploit modulated quantum driving to reach the strong light-matter coupling regime and we introduce a protocol to experimentally extract the transition elements between Floquet states from the coherent evolution of the system. Using the nitrogen-vacancy center in diamond as an experimental testbed, we apply our methods to observe symmetry-protected dark states and dark bands, and the coherent destruction of tunneling effect. Our work shows how to exploit the quantum control toolkit to study dynamical symmetries that can arise in topological phases of strongly-driven Floquet systems.
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spelling mit-1721.1/1471232023-01-18T03:03:20Z Observation of Symmetry-Protected Selection Rules in Periodically Driven Quantum Systems Wang, Guoqing Li, Changhao Cappellaro, Paola Massachusetts Institute of Technology. Department of Nuclear Science and Engineering Periodically driven quantum systems, known as Floquet systems, have been a focus of non-equilibrium physics in recent years, thanks to their rich dynamics. Not only time-periodic systems exhibit symmetries similar to those in spatially periodic systems, but they also display novel behavior due to symmetry breaking. Characterizing such dynamical symmetries is crucial, but the task is often challenging, due to limited driving strength and the lack of an experimentally accessible characterization protocol. Here, we show how to characterize dynamical symmetries including parity, rotation, and particle-hole symmetry by observing the symmetry-induced selection rules between Floquet states. Specifically, we exploit modulated quantum driving to reach the strong light-matter coupling regime and we introduce a protocol to experimentally extract the transition elements between Floquet states from the coherent evolution of the system. Using the nitrogen-vacancy center in diamond as an experimental testbed, we apply our methods to observe symmetry-protected dark states and dark bands, and the coherent destruction of tunneling effect. Our work shows how to exploit the quantum control toolkit to study dynamical symmetries that can arise in topological phases of strongly-driven Floquet systems. 2023-01-17T16:27:01Z 2023-01-17T16:27:01Z 2021 2023-01-17T16:21:34Z Article http://purl.org/eprint/type/JournalArticle https://hdl.handle.net/1721.1/147123 Wang, Guoqing, Li, Changhao and Cappellaro, Paola. 2021. "Observation of Symmetry-Protected Selection Rules in Periodically Driven Quantum Systems." Physical Review Letters, 127 (14). en 10.1103/PHYSREVLETT.127.140604 Physical Review Letters Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use. application/pdf American Physical Society (APS) APS
spellingShingle Wang, Guoqing
Li, Changhao
Cappellaro, Paola
Observation of Symmetry-Protected Selection Rules in Periodically Driven Quantum Systems
title Observation of Symmetry-Protected Selection Rules in Periodically Driven Quantum Systems
title_full Observation of Symmetry-Protected Selection Rules in Periodically Driven Quantum Systems
title_fullStr Observation of Symmetry-Protected Selection Rules in Periodically Driven Quantum Systems
title_full_unstemmed Observation of Symmetry-Protected Selection Rules in Periodically Driven Quantum Systems
title_short Observation of Symmetry-Protected Selection Rules in Periodically Driven Quantum Systems
title_sort observation of symmetry protected selection rules in periodically driven quantum systems
url https://hdl.handle.net/1721.1/147123
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