Dynamical Critical Exponents in Driven-Dissipative Quantum Systems

Comaron, P.; Dagvadorj, Galbadrakh; Zamora, Adolfo; Carusotto, Iacopo; Proukakis, N. P.; Szymańska, M. H.

doi:10.1103/physrevlett.121.095302

Cited by 69 publications

(77 citation statements)

References 35 publications

(58 reference statements)

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“…where ν /(1 + νz c ) ≈ 0.315. This, however, is not correct in coarsening systems as already discussed in [38,39,42,43], for example.…”

Section: The Kibble -Zurek Mechanismmentioning

confidence: 94%

“…In the present study, we only consider the dynamics above T c (ie t ∈ [0, τ Q ]). Studies of the cooling rate effects on the coarsening dynamics that is at work close and below the critical point, even after annealing, have been presented in [38] for the 2d Ising model, in [39] for the 2d xy model, in [42] for a one-dimensional non-equilibrium lattice gas model with a phase transition between a fluid phase with homogeneously distributed particles and a jammed phase with a macroscopic hole cluster, and in [43,44] for time-dependent dissipative and stochastic Gross -Pitaievskii models relevant to describe micro-cavity polaritons and cold boson gases.…”

Section: Quench To T = T Cmentioning

confidence: 99%

“…A one-dimensional non-equilibrium lattice gas model with a phase transition was treated in [42]. Extensive numerical simulations of models for two dimensional atomic gases were very recently presented in [43,44]. The evolution of the order parameter in the finite dimensional Ising model slowly cooled to the critical point were studied with different microscopic stochastic rules in [45].…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Critical percolation in the slow cooling of the bi-dimensional ferromagnetic Ising model

Ricateau¹,

Cugliandolo²,

Picco³

2018

J. Stat. Mech.

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We study, with numerical methods, the fractal properties of the domain walls found in slow quenches of the kinetic Ising model to its critical temperature. We show that the equilibrium interfaces in the disordered phase have critical percolation fractal dimension over a wide range of length scales. We confirm that the system falls out of equilibrium at a temperature that depends on the cooling rate as predicted by the Kibble -Zurek argument and we prove that the dynamic growing length once the cooling reaches the critical point satisfies the same scaling. We determine the dynamic scaling properties of the interface winding angle variance and we show that the crossover between critical Ising and critical percolation properties is determined by the growing length reached when the system fell out of equilibrium. arXiv:1709.05268v1 [cond-mat.stat-mech] 15 Sep 2017Since the interfaces on short length scales are not smooth anymore, their fractal dimension is given bywhere κ c = 3 is the same universal parameter as in the pre-factor in front of the logarithmic growth of the wav. Note that D c/z c ≈ 0.634 > 1 /2. The wav still has a universal behaviour, now highlighted

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“…where ν /(1 + νz c ) ≈ 0.315. This, however, is not correct in coarsening systems as already discussed in [38,39,42,43], for example.…”

Section: The Kibble -Zurek Mechanismmentioning

confidence: 94%

Section: Quench To T = T Cmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Critical percolation in the slow cooling of the bi-dimensional ferromagnetic Ising model

Ricateau¹,

Cugliandolo²,

Picco³

2018

J. Stat. Mech.

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“…After the injection of a certain number of vortices, the subsequent phase healing dynamics typically consists of the annihilation of vortex-antivortex pairs, leading to a decay of the number of vortices [16,34].…”

Section: Vortex-antivortex Annihilationmentioning

confidence: 99%

Multivortex states and dynamics in nonequilibrium polariton condensates

Gladilin¹,

Wouters²

2019

J. Phys. A: Math. Theor.

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In strongly nonequilibrium Bose-Einstein condensates described by the generalized Gross-Pitaevskii equation, vortex motion becomes self-accelerated while the long-range vortex-antivortex interaction appears to be repulsive. We numerically study the impact of these rather unusual vortex properties on the dynamics of multivortex systems. We show that at strong nonequilibrium the repulsion between vortices and antivortices leads to a dramatic slowdown of their annihilation. Moreover, in finite-size samples, relaxation of multivortex systems can lead to the formation of metastable vortex-antivortex clusters, whose shape and size depend, in particular, on the sample geometry, boundary conditions and deviations from equilibrium. We further demonstrate that at strong nonequilibrium the interaction of self-accelerated vortices with inhomogeneous condensate flows can lead to generation of new vortex-antivortex pairs.

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“…Polaritons therefore constitute excellent physical platforms to explore the influence that the nonconservation of energy and particle number, and the breaking of the detailed balance condition, may have on the critical dynamics. Pioneering works have started addressing the new features exhibited by the ordered state [35,36], by the nonequilibrium phase transition [37][38][39][40], the extension of the adiabaticity concept to nonequilibrium scenarios [41][42][43], the spontaneous formation of defects under a time-dependent pump [44][45][46], and the late-time relaxation past a sudden quench [47,48].…”

mentioning

confidence: 99%