Gauge fields are a central concept in fundamental theories of physics, and responsible for mediating long-range interactions between elementary particles. Recently, it has been proposed that dynamical gauge fields can be naturally engineered by photons in composite, neutral quantum gas-cavity systems using suitable atom-photon interactions. Here we comprehensively investigate nonequilibrium dynamical phases appearing in a two-leg bosonic lattice model with leg-dependent, dynamical complex tunnelings mediated by cavity-assisted two-photon Raman processes. The system constitutes a minimal dynamical flux-lattice model. We study fixed points of the equations of motion and their stability, the resultant dynamical phase diagram, and the corresponding phase transitions and bifurcations. Notably, the phase diagram features a plethora of nonequilibrium dynamical phases including limit-cycle and chaotic phases. In the end, we relate regular periodic dynamics (i.e., limit-cycle phases) of the system to time crystals.
Cited by 1
Nie et al., Nonequilibrium phases of a Fermi gas inside a cavity with imbalanced pumping
Phys. Rev. A 108, 043312 (2023) [Crossref]
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- 1 Institut für Theoretische Physik / Institute for Theoretical Physics, University of Innsbruck [ITP]
- Austrian Science Fund (FWF) (through Organization: Fonds zur Förderung der wissenschaftlichen Forschung / FWF Austrian Science Fund [FWF])
- Horizon 2020 (through Organization: European Commission [EC])
- Österreichischen Akademie der Wissenschaften (through Organization: Österreichische Akademie der Wissenschaften / Austrian Academy of Sciences [ÖAW])