Dynamical Critical Phenomena in Driven-Dissipative Systems

Sieberer, Lukas M.; Huber, Sebastian; Altman, Ehud; Diehl, Sebastian

doi:10.1103/physrevlett.110.195301

Cited by 335 publications

(443 citation statements)

References 51 publications

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“…Remarkably, while D ψ * ψ and Re[D ψψ ] depend very slowly on x and are not much affected by the presence of detuning or self-interaction, the imaginary part Im[D ψψ ] crucially depends on these parameters. Note that the possibility of a non-vanishing D ψψ variance was overlooked in the phenomenological discussion that we published in [30] and has not been taken into account in [25,33,34]. Due to the saturable pumping term in the SGPE, higherorder momenta of the noise are present beyond the usual Gaussian noise.…”

Section: B Normally-ordered C-number Representationmentioning

confidence: 99%

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Quantum Langevin model for nonequilibrium condensation

Chiocchetta

Carusotto

2014

Phys. Rev. A

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We develop a quantum model for non-equilibrium Bose-Einstein condensation of photons and polaritons in planar microcavity devices. The model builds upon laser theory and includes the spatial dynamics of the cavity field, a saturation mechanism and some frequency-dependence of the gain: quantum Langevin equations are written for a cavity field coupled to a continuous distribution of externally pumped two-level emitters with a well-defined frequency. As a an example of application, the method is used to study the linearised quantum fluctuations around a steady-state condensed state. In the good-cavity regime, an effective equation for the cavity field only is proposed in terms of a stochastic Gross-Pitaevskii equation. Perspectives in view of a full quantum simulation of the non-equilibrium condensation process are finally sketched.

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Section: B Normally-ordered C-number Representationmentioning

confidence: 99%

“…Furthermore, the non-perturbative functional renormalisation group calculation in [25] showed the importance of new critical exponents arising from the genuine nonequilibrium nature of the system. Finally, theoretical descriptions of the photon BEC phenomenon in purely laser terms were aimed for in [26].…”

Section: Introductionmentioning

confidence: 99%

Quantum Langevin model for nonequilibrium condensation

Chiocchetta

Carusotto

2014

Phys. Rev. A

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“…It is thus a challenge to identify to what extent the non-equilibrium and the quantum nature of the dynamics impact on the macroscopic phase diagram and phase transition properties. Oftentimes, upon coarse graining such systems lose their quantum character and equilibrium conditions are effectively restored [31][32][33][34][35][36]. But there are instances where non-equilibrium [37,38] and quantum [39,40] aspects persist even at asymptotically large wavelength.…”

Section: Introductionmentioning

confidence: 99%

Absorbing State Phase Transition with Competing Quantum and Classical Fluctuations

et al. 2016

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Stochastic processes with absorbing states feature remarkable examples of non-equilibrium universal phenomena. While a broad understanding has been progressively established in the classical regime, relatively little is known about the behavior of these non-equilibrium systems in the presence of quantum fluctuations. Here we theoretically address such a scenario in an open quantum spin model which in its classical limit undergoes a directed percolation phase transition. By mapping the problem to a non-equilibrium field theory, we show that the introduction of quantum fluctuations stemming from coherent, rather than statistical, spin-flips alters the nature of the transition such that it becomes first-order. In the intermediate regime, where classical and quantum dynamics compete on equal terms, we highlight the presence of a bicritical point with universal features different from the directed percolation class in low dimension. We finally propose how this physics could be explored within gases of interacting atoms excited to Rydberg states.

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“…This rules out conventional theoretical equilibrium concepts and techniques to be used, and calls for the development of new theoretical tools. The physical framework sparks broader theoretical questions on the existence of new phases of bosonic [18,19] and fermionic [20][21][22] matter, the nature of phase transitions in such driven systems [10,[23][24][25][26], and the observable consequences of quantum mechanics at the largest scales [27,28]. Beyond stationary states [29], a fundamental challenge is set by the time evolution of interacting quantum systems, which is currently explored theoretically [30][31][32][33][34][35][36] and experimentally in cold atomic [37][38][39][40][41] and photonic systems [42].…”

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confidence: 99%

Keldysh field theory for driven open quantum systems

2016

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Recent experimental developments in diverse areas -ranging from cold atomic gases to light-driven semiconductors to microcavity arrays -move systems into the focus which are located on the interface of quantum optics, many-body physics and statistical mechanics. They share in common that coherent and driven-dissipative quantum dynamics occur on an equal footing, creating genuine non-equilibrium scenarios without immediate counterpart in equilibrium condensed matter physics. This concerns both their non-thermal stationary states, as well as their many-body time evolution. It is a challenge to theory to identify novel instances of universal emergent macroscopic phenomena, which are tied unambiguously and in an observable way to the microscopic drive conditions. In this review, we discuss some recent results in this direction. Moreover, we provide a systematic introduction to the open system Keldysh functional integral approach, which is the proper technical tool to accomplish a merger of quantum optics and many-body physics, and leverages the power of modern quantum field theory to driven open quantum systems. CONTENTS

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Dynamical Critical Phenomena in Driven-Dissipative Systems

Cited by 335 publications

References 51 publications

Quantum Langevin model for nonequilibrium condensation

Quantum Langevin model for nonequilibrium condensation

Absorbing State Phase Transition with Competing Quantum and Classical Fluctuations

Keldysh field theory for driven open quantum systems

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