Excitations of optically driven atomic condensate in a cavity: theory of photodetection measurements

Öztop, Barış; Bordyuh, Mykola; Müstecaplıoğlu, Özgür E.; Türeci, Hakan E.

doi:10.1088/1367-2630/14/8/085011

Cited by 92 publications

(124 citation statements)

References 41 publications

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“…For the present non-equilbrium Dicke transition, it was found [5,6] that ν x = 1, in contrast to the equilibrium case of a quantum phase transition at zero temperature [11], where ν x = 1/2. We now explain that this discrepancy is due to the finite effective temperature of the low-frequency fluctuations of the system.…”

Section: B Photon Flux Exponentcontrasting

confidence: 54%

“…The Langevin equation (6) becomes dynamically unstable at the Dicke transition, correspondent to the point where α vanishes, or equivalently to the critical coupling…”

Section: B Photon Flux Exponentmentioning

confidence: 99%

“…We can compute x 2 using an equilibrium partition function equivalent [33,34] to the (lowfrequency limit) of the Langevin equation (6):…”

Section: B Photon Flux Exponentmentioning

confidence: 99%

“…This exponent governs the decay of the two-time correlations close to criticality. Going back to the Langevin equation (6) and keeping the ω 2 terms we obtain:…”

Section: Dynamic Critical Exponentmentioning

confidence: 99%

“…[1][2][3]. Due to the interplay of external driving, Hamiltonian dynamics and dissipative processes, the observed Dicke superradiance transitions [1,2] exhibit several properties [4][5][6][7] which are not present in the closed Dicke model [8][9][10][11]. Recently, it was shown that other more interesting quantum many-body phases, such as quantum spin and charge glasses with long-range, random interactions [12][13][14] mediated by multiple photon modes, could potentially be simulated with many-body cavity QED.…”

Section: Introductionmentioning

confidence: 99%

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Keldysh approach for nonequilibrium phase transitions in quantum optics: Beyond the Dicke model in optical cavities

et al. 2013

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We investigate non-equilibrium phase transitions for driven atomic ensembles, interacting with a cavity mode, coupled to a Markovian dissipative bath. In the thermodynamic limit and at low-frequencies, we show that the distribution function of the photonic mode is thermal, with an effective temperature set by the atom-photon interaction strength. This behavior characterizes the static and dynamic critical exponents of the associated superradiance transition. Motivated by these considerations, we develop a general Keldysh path integral approach, that allows us to study physically relevant nonlinearities beyond the idealized Dicke model. Using standard diagrammatic techniques, we take into account the leading-order corrections due to the finite number of atoms N. For finite N, the photon mode behaves as a damped, classical non-linear oscillator at finite temperature. For the atoms, we propose a Dicke action that can be solved for any N and correctly captures the atoms' depolarization due to dissipative dephasing.

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Section: B Photon Flux Exponentcontrasting

confidence: 54%

“…The Langevin equation (6) becomes dynamically unstable at the Dicke transition, correspondent to the point where α vanishes, or equivalently to the critical coupling…”

Section: B Photon Flux Exponentmentioning

confidence: 99%

“…We can compute x 2 using an equilibrium partition function equivalent [33,34] to the (lowfrequency limit) of the Langevin equation (6):…”

Section: B Photon Flux Exponentmentioning

confidence: 99%

“…This exponent governs the decay of the two-time correlations close to criticality. Going back to the Langevin equation (6) and keeping the ω 2 terms we obtain:…”

Section: Dynamic Critical Exponentmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Keldysh approach for nonequilibrium phase transitions in quantum optics: Beyond the Dicke model in optical cavities

et al. 2013

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Dicke‐type phase transition in a multimode optomechanical system

2015

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We consider the "membrane in the middle" optomechanical model consisting of a laser pumped cavity which is divided in two by a flexible membrane that is partially transmissive to light and subject to radiation pressure. Steady state solutions at the mean-field level reveal that there is a critical strength of the light-membrane coupling above which there is a symmetry breaking bifurcation where the membrane spontaneously acquires a displacement either to the left or the right. This bifurcation bears many of the signatures of a second order phase transition and we compare and contrast it with that found in the Dicke model. In particular, by studying limiting cases and deriving dynamical critical exponents using the fidelity susceptibility method, we argue that the two models share very similar critical behaviour. For example, the obtained critical exponents indicate that they fall within the same universality class. Away from the critical regime we identify, however, some discrepancies between the two models. Our results are discussed in terms of experimentally relevant parameters and we evaluate the prospects for realizing Dicke-type physics in these systems.Comment: 14 pages, 6 figure

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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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Excitations of optically driven atomic condensate in a cavity: theory of photodetection measurements

Cited by 92 publications

References 41 publications

Keldysh approach for nonequilibrium phase transitions in quantum optics: Beyond the Dicke model in optical cavities

Keldysh approach for nonequilibrium phase transitions in quantum optics: Beyond the Dicke model in optical cavities

Dicke‐type phase transition in a multimode optomechanical system

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

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