Parametrically driven dissipative three-level Dicke model

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

doi:10.1103/physreva.104.063705

Cited by 23 publications

(12 citation statements)

References 54 publications

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“…Similarly, driven Dicke models [9] exhibit rich non-equilibrium dynamics of superradiant phase transitions and unconventional lasing states [10][11][12][13][14][15][16][17][18][19]. Driving the coupling in cavity-BEC setups, which can be mapped onto the dissipative Dicke model, hosts several non-equilibrium phases [20][21][22][23][24][25]. Incoherently pumped Strontium transitions have been used to explore the crossover regime of superradiant lasing [26,27].…”

Section: Introductionmentioning

confidence: 99%

Floquet engineering of non-equilibrium superradiance

Broers

Mathey

2023

SciPost Phys.

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We demonstrate the emergence of a non-equilibrium superradiant phase in the dissipative Rabi-Dicke model. This phase is characterized by a photonic steady state that oscillates with a frequency close to the cavity frequency, in contrast to the constant photonic steady state of the equilibrium superradiant phase in the Dicke model. We relate this superradiant phase to the population inversion of Floquet states by introducing a Schwinger representation of the driven two-level systems in the cavity. This inversion is depleted near Floquet energies that are resonant with the cavity frequency to sustain a coherent light-field. In particular, our model applies to solids within a two-band approximation, in which the electrons act as Schwinger fermions. We propose to use this Floquet-assisted superradiant phase to obtain controllable optical gain for a laser-like operation.

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Section: Introductionmentioning

confidence: 99%

Floquet engineering of non-equilibrium superradiance

Broers

Mathey

2023

SciPost Phys.

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“…These examples are based on the non-equilibrium dynamics of the dissipative Rabi model, which presents a minimal example of driven quantum systems. Similarly, driven Dicke models [8] exhibit rich non-equilibrium dynamics of superradiant phase transitions and unconventional lasing states [9][10][11][12][13][14][15][16][17][18][19][20][21][22][23]. In many-body systems, Floquet engineering aims to tune collective properties, such as band topology [24][25][26][27][28], with coherent driving [29][30][31].…”

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confidence: 99%

Floquet Engineering of Non-Equilibrium Superradiance

Broers¹,

Mathey²

2022

Preprint

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We demonstrate the emergence of a non-equilibrium superradiant phase in the dissipative Rabi-Dicke model. This phase is characterized by a photonic steady state that oscillates with a frequency close to the cavity frequency, in contrast to the constant photonic steady state of the equilibrium superradiant phase in the Dicke model. We relate this superradiant phase to the population inversion of Floquet states by introducing a Schwinger representation of the driven twolevel systems in the cavity. This inversion is depleted near Floquet energies that are resonant with the cavity frequency to sustain a coherent light-field. In particular, our model applies to solids within a two-band approximation, in which the electrons act as Schwinger fermions. We propose to use this Floquet-assisted superradiant phase to obtain controllable optical gain for a laser-like operation.

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“…We predict for the red-detuned situation (∆ c < 0) the formation of a spatial lattice along the pump direction accompanied with a steady state of the cavity field. By mapping the relevant degrees of freedom to a threelevel Dicke-like model [41][42][43][44], we argue that a novel type of instability phase transition separates this regime from a blue-detuned one (∆ c > 0), where we predict for small pumping strengths the formation of a dissipative spatiotemporal lattice with an oscillating cavity field. For high enough pumping strengths, the cavity field oscillations dephase, giving rise to a third region in the phase diagram.…”

mentioning

confidence: 99%

“…we keep only the c 1 := c q and c 2 := c q+k , c 3 := c q−k modes in the Hamiltonian. We may then perform a SU (3) Schwinger boson mapping [41],…”

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Tunable Non-equilibrium Phase Transitions between Spatial and Temporal Order through Dissipation

Zhang¹,

Dreon²,

Esslinger³

et al. 2022

Preprint

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We propose an experiment with a driven quantum gas coupled to a dissipative optical cavity that realizes a novel kind of far-from-equilibrium phase transition between spatial and temporal order. The control parameter of the transition is the detuning between the drive frequency and the cavity resonance. For negative detunings, the system features a spatially ordered phase, while positive detunings lead to a phase with both spatial order and persistent oscillations, which we call dissipative spatio-temporal lattice. We give numerical and analytical evidence for this superradiant phase transition and show that the spatio-temporal lattice originates from cavity dissipation. In both regimes the atoms are subject to an accelerated transport, either via a uniform acceleration or via abrupt transitions to higher momentum states. Our work provides perspectives for temporal phases of matter that are not possible at equilibrium.

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Parametrically driven dissipative three-level Dicke model

Cited by 23 publications

References 54 publications

Floquet engineering of non-equilibrium superradiance

Floquet engineering of non-equilibrium superradiance

Floquet Engineering of Non-Equilibrium Superradiance

Tunable Non-equilibrium Phase Transitions between Spatial and Temporal Order through Dissipation

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