Observation of a continuous time crystal

Kongkhambut, Phatthamon; Skulte, Jim; Mathey, Ludwig; Cosme, Jayson G.; Hemmerich, Andreas; Keßler, Hans

doi:10.48550/arxiv.2202.06980

Cited by 4 publications

(5 citation statements)

References 21 publications

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“…The role of qubit relaxation and dephasing would considerably enlarge the parameter space and possibly induce even richer dynamics, besides having practical relevance. It would be also interesting to explore possible links between the cyclic dynamics we have described and time-crystals in dissipative settings [79][80][81][82][83][84][85][86][87][88][89][90]. In general, our work provides insight into the rich nonlinear dynamics of the two-photon Dicke model, which may stimulate further investigation of classical and quantum chaos.…”

Section: Discussionmentioning

confidence: 77%

Nonlinear dynamics of the dissipative anisotropic two-photon Dicke model

Fazio

Chesi

2022

New J. Phys.

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We study the semiclassical limit of the anisotropic two-photon Dicke model with a dissipative bosonic field and describe its rich nonlinear dynamics. Besides normal and ‘superradiant’-like phases, the presence of localized fixed points reflects the spectral collapse of the closed-system Hamiltonian. Through Hopf bifurcations of superradiant and normal fixed points, limit cycles are formed in certain regions of parameters. We also identify a pole-flip transition induced by anisotropy and a region of chaotic dynamics, which appears from a cascade of period-doubling bifurcations. In the chaotic region, collision and fragmentation of symmetric attractors take place. Throughout the phase diagram we find several examples of phase coexistence, leading to the segmentation of phase space into distinct basins of attraction.

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Section: Discussionmentioning

confidence: 77%

Nonlinear dynamics of the dissipative anisotropic two-photon Dicke model

Fazio

Chesi

2022

New J. Phys.

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“…There are two recently introduced concepts, dissipative time crystals [27,[45][46][47][48][49][50][51][52][53][54][55][56][57][58], which are systems that have persistent oscillations induced by the dissipation, and boundary time crystals [59][60][61][62][63], which have persistent oscillations in the thermodynamic limit only (cf. discrete, driven versions of time crystals under dissipation [64][65][66][67][68][69][70] and other non-stationary phenomena beyond ob-servables e.g.…”

Section: Introductionmentioning

confidence: 99%

Exact bistability and time pseudo-crystallization of driven-dissipative fermionic lattices

Alaeian¹,

Buča²

2022

Preprint

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The existence of bistability in quantum optical systems remains a intensely debated open question beyond the mean-field approximation. Quantum fluctuations are finite-size corrections to the mean-field approximation used because the full exact solution is unobtainable. Usually, quantum fluctuations destroy the bistability present on the mean-field level. Here, by identifying and using exact modulated semi-local dynamical symmetries in a certain quantum optical models of drivendissipative fermionic chains we exactly prove bistability in precisely the quantum fluctuations. Surprisingly, rather than destroying bistability, the quantum fluctuations themselves exhibit bistability, even though it is absent on the mean-field level for our systems. Moreover, the models studied acquire additional thermodynamic dynamical symmetries that imply persistent periodic oscillations in the quantum fluctuations, constituting pseudo-variants of boundary time crystals. Physically, these emergent operators correspond to finite-frequency and finite-momentum semi-local Goldstone modes. Our work therefore provides to the best of our knowledge the first example of a provably bistable quantum optical system.

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“…The emerging motion, together with the self-organised lattice, breaks simultaneously time and space translation symmetry. The former can be linked to the concept of continuos dissipative time crystals [13,29,38,39], in contrast to discrete realisations in systems with a time-dependent parametric drive [40,41].…”

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confidence: 99%