The role of fluctuations in quantum and classical time crystals
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Date
2023
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Journal Article
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yes
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Abstract
Discrete time crystals (DTCs) are a many-body state of matter whose dynamics are slower than the forces acting on it. The same is true for classical systems with period-doubling bifurcations. Hence, the question naturally arises what differentiates classical from quantum DTCs. Here, we analyze a variant of the Bose-Hubbard model, which de -scribes a plethora of physical phenomena and has both a classical and a quantum time-crystalline limit. Fluctuations enter the system due to the intrinsic quantum uncertainty and/or due to finite coupling to an environment. These fluctuations can activate transi-tions between the system's various stationary solutions. We study the role of fluctuations on the stability of the system in the long-time limit and find no distinction between quan-tum and classical DTCs. This allows us to probe the fluctuations in an experiment using two strongly coupled parametric resonators subject to classical noise.
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published
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6 (3)
Pages / Article No.
53
Publisher
SciPost Foundation
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Organisational unit
03571 - Sigrist, Manfred / Sigrist, Manfred
03906 - Degen, Christian / Degen, Christian
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Funding
177198 - Zeptonewton force sensing on a membrane resonator platform (SNF)
190078 - Electronic and photonic quantum engineered systems (SNF)
190078 - Electronic and photonic quantum engineered systems (SNF)