Dicke-model simulation via cavity-assisted Raman transitions

Zhang, Zhiqiang; Lee, Chern Hui; Kumar, Ravi; Arnold, K. J.; Masson, Stuart J.; Grimsmo, Arne L.; Parkins, A. S.; Barrett, M. D.

doi:10.1103/physreva.97.043858

Cited by 91 publications

(62 citation statements)

References 41 publications

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“…One particular application is the case of inhomogeneous broadening when coupling to Raman transitions between hyperfine states, discussed by ref. []. Furthermore, if the energy splitting of the two‐level atoms is disordered, one sees that this approach gives

false(ω_{c}^{2} + κ^{2} false) / ω_{c} = 4 false⟨ λ_{i}^{2} / ω_{z, i} false⟩

.…”

Section: Beyond Mean‐field Methodsmentioning

confidence: 99%

“…That is, returning to Equation in terms of individual two‐level systems, and allowing different energies or coupling strengths for different systems.

0true H = ω_{c} a^{†} a + \sum_{j = 1}^{N} ω_{z}^{j} σ_{j}^{z} + \frac{2}{\sqrt{N}} (a + a^{†}) \sum_{j} λ^{j} σ_{j}^{x}

Such models were studied in a wider variety of contexts, including the effects of disorder on dynamical superradiance in a low Q cavity, the phase diagram of microcavity polaritons, solid state quantum memories, as well as for cold atom in optical cavities, accounting for the spatial variation of the cavity modes . Several works in this context have investigated the dynamics of an initially prepared state, using either brute force numerics for small systems, or matrix product state approaches .…”

Section: Closely Related Modelsmentioning

confidence: 99%

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Introduction to the Dicke Model: From Equilibrium to Nonequilibrium, and Vice Versa

et al. 2018

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The Dicke model describes the coupling between a quantized cavity field and a large ensemble of two‐level atoms. When the number of atoms tends to infinity, this model can undergo a transition to a superradiant phase, belonging to the mean‐field Ising universality class. The superradiant transition was first predicted for atoms in thermal equilibrium and was recently realized with a quantum simulator made of atoms in an optical cavity, subject to both dissipation and driving. This progress report offers an introduction to some theoretical concepts relevant to the Dicke model, reviewing the critical properties of the superradiant phase transition and the distinction between equilibrium and nonequilibrium conditions. In addition, it explains the fundamental difference between the superradiant phase transition and the more common lasing transition. This report mostly focuses on the steady states of atoms in single‐mode optical cavities, but it also mentions some aspects of real‐time dynamics, as well as other quantum simulators, including superconducting qubits, trapped ions, and using spin–orbit coupling for cold atoms. These realizations differ in regard to whether they describe equilibrium or nonequilibrium systems.

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false(ω_{c}^{2} + κ^{2} false) / ω_{c} = 4 false⟨ λ_{i}^{2} / ω_{z, i} false⟩

.…”

Section: Beyond Mean‐field Methodsmentioning

confidence: 99%

“…That is, returning to Equation in terms of individual two‐level systems, and allowing different energies or coupling strengths for different systems.

0true H = ω_{c} a^{†} a + \sum_{j = 1}^{N} ω_{z}^{j} σ_{j}^{z} + \frac{2}{\sqrt{N}} (a + a^{†}) \sum_{j} λ^{j} σ_{j}^{x}

Section: Closely Related Modelsmentioning

confidence: 99%

Introduction to the Dicke Model: From Equilibrium to Nonequilibrium, and Vice Versa

et al. 2018

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“…We consider a generalized Dicke model for N two-level atoms and a single mode of the electromagnetic field, as described by the master equation [48][49][50][53][54][55]…”

Section: System and Modelmentioning

confidence: 99%

“…We now consider the optical cavity-QED realization of the Dicke model described in [48,50,53]. The necessary Hamiltonian is produced via resonant Raman transitions in a dilute ensemble of 87 Rb atoms interacting with a high finesse optical cavity mode.…”

Section: A Microscopic Parametersmentioning

confidence: 99%

Extreme spin squeezing in the steady state of a generalized Dicke model

Masson

Parkins

2019

Phys. Rev. A

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We present a scheme to generate steady-state atomic spin squeezing in a cavity QED system using cavity-mediated Raman transitions to engineer effective atom-photon interactions, which include both linear and nonlinear (dispersive) atom-cavity couplings, on a potentially equal footing. We focus on a regime where the dispersive coupling is very large and find that the steady state of the system can in fact be a strongly spin-squeezed Dicke state, |N/2, 0 , of the atomic ensemble. These states offer Heisenberg-limited metrological properties and feature genuine multipartite entanglement among the entire atomic ensemble.

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“…The Dicke model [8,9] describes an ensemble of twolevel systems interacting with a quantized bosonic mode. Though originated as a model of atom-light interaction, the Dicke model can be realized in various experimental settings, including quantum gases [10][11][12][13], superconducting circuit [14][15][16], and solid state systems [17]. The Dicke model features the famous superradiant phase transition [18], where the bosonic mode becomes macroscopically occupied if the atom-light interaction strength exceeds a threshold value and the system enters the superradiant phase.…”

mentioning

confidence: 99%

Emergent Universality in a Quantum Tricritical Dicke Model

2019

Phys. Rev. Lett.

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We propose a generalized Dicke model which supports a quantum tricritical point. We map out the phase diagram and investigate the critical behaviors of the model through exact low-energy effective Hamiltonian in the thermodynamic limit. As predicted by the Landau theory of phase transition, the order parameter shows non-universality at the tricritical point. Nevertheless, as a result of the separation of the classical and the quantum degrees of freedom, we find a universal relation between the excitation gap and the entanglement entropy for the entire critical line including the tricritical point. Here the universality is carried by the emergent quantum modes, whereas the order parameter is determined classically.

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Dicke-model simulation via cavity-assisted Raman transitions

Cited by 91 publications

References 41 publications

Introduction to the Dicke Model: From Equilibrium to Nonequilibrium, and Vice Versa

Introduction to the Dicke Model: From Equilibrium to Nonequilibrium, and Vice Versa

Extreme spin squeezing in the steady state of a generalized Dicke model

Emergent Universality in a Quantum Tricritical Dicke Model

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