Nonequilibrium phases of ultracold bosons with cavity-induced dynamic gauge fields

Kosior, Arkadiusz; Ritsch, Helmut; Mivehvar, Farokh

doi:10.21468/SciPostPhys.15.2.046

SciPost Physics

Nonequilibrium phases of ultracold bosons with cavity-induced dynamic gauge fields

Arkadiusz Kosior, Helmut Ritsch, Farokh Mivehvar

SciPost Phys. 15, 046 (2023) · published 3 August 2023

doi: 10.21468/SciPostPhys.15.2.046
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Abstract

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.

TY  - JOUR
PB  - SciPost Foundation
DO  - 10.21468/SciPostPhys.15.2.046
TI  - Nonequilibrium phases of ultracold bosons with cavity-induced dynamic gauge fields
PY  - 2023/08/03
UR  - https://scipost.org/SciPostPhys.15.2.046
JF  - SciPost Physics
JA  - SciPost Phys.
VL  - 15
IS  - 2
SP  - 046
A1  - Kosior, Arkadiusz
AU  - Ritsch, Helmut
AU  - Mivehvar, Farokh
AB  - 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.
ER  -

@Article{10.21468/SciPostPhys.15.2.046,
	title={{Nonequilibrium phases of ultracold bosons with cavity-induced dynamic gauge fields}},
	author={Arkadiusz Kosior and Helmut Ritsch and Farokh Mivehvar},
	journal={SciPost Phys.},
	volume={15},
	pages={046},
	year={2023},
	publisher={SciPost},
	doi={10.21468/SciPostPhys.15.2.046},
	url={https://scipost.org/10.21468/SciPostPhys.15.2.046},
}

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¹ Institut für Theoretische Physik / Institute for Theoretical Physics, University of Innsbruck [ITP]

Funders for the research work leading to this publication

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])