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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Aineistotyyppi: | Artikkeli |
Kieli: | English |
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American Physical Society (APS)
2023
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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. |
first_indexed | 2024-09-23T16:09:49Z |
format | Article |
id | mit-1721.1/147123 |
institution | Massachusetts Institute of Technology |
language | English |
last_indexed | 2024-09-23T16:09:49Z |
publishDate | 2023 |
publisher | American Physical Society (APS) |
record_format | dspace |
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 |
work_keys_str_mv | AT wangguoqing observationofsymmetryprotectedselectionrulesinperiodicallydrivenquantumsystems AT lichanghao observationofsymmetryprotectedselectionrulesinperiodicallydrivenquantumsystems AT cappellaropaola observationofsymmetryprotectedselectionrulesinperiodicallydrivenquantumsystems |