Leveraging static quantum many-body scars into period-doubled responses

• URL: http://arxiv.org/abs/2305.11368v1
• Date: Fri, 19 May 2023 01:12:22 GMT
• Title: Leveraging static quantum many-body scars into period-doubled responses
• Authors: Wentai Deng, Zhi-Cheng Yang
• Abstract summary: We propose a scheme that generates period-doubled responses via periodically driving certain Hamiltonians hosting quantum many-body scars. Our results extend the class of models hosting quantum many-body scars that can be leveraged to yield time-crystalline behaviors under periodic driving.
• Score: 1.9087335681007476
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We propose a scheme that generates period-doubled responses via periodically driving certain Hamiltonians hosting quantum many-body scars, akin to recent experimental observations in driven Rydberg atom arrays. Our construction takes advantage of an su(2) spectrum generating algebra associated with the static quantum-scarred Hamiltonian, which enacts a $\pi$-rotation within the scar subspace after one period of time evolution with appropriately chosen driving parameters. This yields period-doubled (subharmonic) responses in local observables for any choice of initial state residing in the scar subspace. The quasienergy spectrum features atypical $\pi$-paired eigenstates embedded in an otherwise fully thermal spectrum.The protocol requires neither a large driving frequency nor a large driving amplitude, and is thus distinct from the prethermalization physics in previous investigations of the driven PXP model. We demonstrate our scheme using several spin-1/2 and spin-1 quantum scarred models possessing an exact su(2) spectrum generating algebra, as well as a symmetry-deformed PXP model, where the su(2) algebra is only approximate. Our results extend the class of models hosting quantum many-body scars that can be leveraged to yield time-crystalline behaviors under periodic driving.

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