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Please use this identifier to cite or link to this item: http://hdl.handle.net/2289/8627
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dc.contributor.authorDutta, Shovan-
dc.contributor.authorZhang, Shu-
dc.contributor.authorHaque, Masudul-
dc.date.accessioned2026-02-11T06:07:20Z-
dc.date.available2026-02-11T06:07:20Z-
dc.date.issued2025-02-07-
dc.identifier.citationPhysical Review Letters, 2025, Vol. 134 (5), AR No. 050407en_US
dc.identifier.issn1079-7114-
dc.identifier.urihttp://hdl.handle.net/2289/8627-
dc.descriptionRestricted Access. An open-access version is available at arXiv.org (one of the alternative locations)en_US
dc.description.abstractAmong the most iconic features of classical dissipative dynamics are persistent limit-cycle oscillations and critical slowing down at the onset of such oscillations, where the system relaxes purely algebraically in time. On the other hand, quantum systems subject to generic Markovian dissipation decohere exponentially in time, approaching a unique steady state. Here we show how coherent limit-cycle oscillations and algebraic decay can emerge in a quantum system governed by a Markovian master equation as one approaches the classical limit, illustrating general mechanisms using a single-spin model and a two-site lossy Bose-Hubbard model. In particular, we demonstrate that the fingerprint of a limit cycle is a slow-decaying branch with vanishing decoherence rates in the Liouville spectrum, while a power-law decay is realized by a spectral collapse at the bifurcation point. We also show how these are distinct from the case of a classical fixed point, for which the quantum spectrum is gapped and can be generated from the linearized classical dynamics.en_US
dc.language.isoenen_US
dc.publisherPhysical Review Lettersen_US
dc.relation.urihttps://doi.org/10.1103/PhysRevLett.134.050407en_US
dc.relation.urihttps://doi.org/10.48550/arXiv.2405.08866en_US
dc.rights2025 Physical Review Lettersen_US
dc.subjectBifurcationsen_US
dc.subjectDissipative dynamicsen_US
dc.subjectOpen quantum systemsen_US
dc.subjectQuantum-to-classical transitionen_US
dc.subjectSpin dynamicsen_US
dc.subjectFokker–Planck equationen_US
dc.subjectLindblad equationen_US
dc.subjectSemiclassical methodsen_US
dc.titleQuantum Origin of Limit Cycles, Fixed Points, and Critical Slowing Downen_US
dc.typeArticleen_US
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