Particle condensation in pair exclusion process

Kim, Sang Woo; Lee, Joongul; Noh, Jae Dong

doi:10.1103/physreve.81.051120

Cited by 6 publications

(14 citation statements)

References 25 publications

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“…Tailored dissipation has also been used or proposed as a powerful tool for quantum engineering in ultracold atomic quantum gases [19][20][21][22] and trapped ions [21,23,24]. Our results, moreover, provide a connection between Bose condensation in quantum systems and the phenomenon of real-space condensation in classical non-equilibrium models [25][26][27][28][29], where also condensation into multiple states has been found [30][31][32][33].…”

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confidence: 56%

Generalized Bose-Einstein Condensation into Multiple States in Driven-Dissipative Systems

et al. 2013

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Bose-Einstein condensation, the macroscopic occupation of a single quantum state, appears in equilibrium quantum statistical mechanics and persists also in the hydrodynamic regime close to equilibrium. Here we show that even when a degenerate Bose gas is driven into a steady state far from equilibrium, where the notion of a single-particle ground state becomes meaningless, Bose-Einstein condensation survives in a generalized form: the unambiguous selection of an odd number of states acquiring large occupations. Within mean-field theory we derive a criterion for when a single state and when multiple states are Bose selected in a noninteracting gas. We study the effect in several driven-dissipative model systems, and propose a quantum switch for heat conductivity based on shifting between one and three selected states.

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supporting

confidence: 56%

Generalized Bose-Einstein Condensation into Multiple States in Driven-Dissipative Systems

et al. 2013

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“…The approximation breaks down for background densities close to ρ since the cut off m becomes small and so the approximation m − 1 ≈ m is no longer valid. By the above argument we expect that solutions to the current matching equation (29) correspond to local maxima or minima of the rate function. Whilst the current out of the maximum occupied site is greater than the current in the background we expect the background density to increase and vice versa.…”

Section: Heuristics On Metastabilitymentioning

confidence: 96%

“…Findings for the zero-range process could be applied to understand condensation phenomena in a variety of nonequilibrium systems (see [13] and references therein), as well as providing a generic model of domain wall dynamics and a criterion for phase separation using a mapping to one-dimensional exclusion systems [27]. The process continues to be of interest, recent work on variations of the model includes mechanisms leading to more than one condensate [36,38,29], or the effects of memory in the dynamics [23].…”

Section: Introductionmentioning

confidence: 99%

Finite Size Effects and Metastability in Zero-Range Condensation

Chleboun

Großkinsky

2010

J Stat Phys

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We study zero-range processes which are known to exhibit a condensation transition, where above a critical density a non-zero fraction of all particles accumulates on a single lattice site. This phenomenon has been a subject of recent research interest and is well understood in the thermodynamic limit. The system shows large finite size effects, and we observe a switching between metastable fluid and condensed phases close to the critical point, in contrast to the continuous limiting behaviour of relevant observables. We describe the leading order finite size effects and establish a discontinuity near criticality in a rigorous scaling limit. We also characterise the metastable phases using a current matching argument and an extension of the fluid phase to supercritical densities. This constitutes an interesting example where the thermodynamic limit fails to capture essential parts of the dynamics, which are particularly relevant in applications with moderate system sizes such as traffic flow or granular clustering.

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“…The PEP was first introduced in Ref. [12] as a model for hub formation in evolving networks [13][14][15]. In the PEP, particles hop under the so-called pair exclusion constraint, which will be explained later.…”

Section: Introductionmentioning

confidence: 99%

Condensation and clustering in the driven pair exclusion process

Kim

Noh²

2012

Journal of the Korean Physical Society

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We investigate particle condensation in a driven pair exclusion process on one-and two-dimensional lattices under the periodic boundary condition. The model describes a biased hopping of particles subject to a pair exclusion constraint that each particle cannot stay at a same site with its pre-assigned partner. The pair exclusion causes a mesoscopic condensation characterized by the scaling of the condensate size mcon ∼ N β and the number of condensates Ncon ∼ N α with the total number of sites N . Those condensates are distributed randomly without hopping bias. We find that the hopping bias generates a spatial correlation among condensates so that a cluster of condensates appears. Especially, the cluster has an anisotropic shape in the two-dimensional system. The mesoscopic condensation and the clustering are studied by means of numerical simulations.

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Particle condensation in pair exclusion process

Cited by 6 publications

References 25 publications

Generalized Bose-Einstein Condensation into Multiple States in Driven-Dissipative Systems

Generalized Bose-Einstein Condensation into Multiple States in Driven-Dissipative Systems

Finite Size Effects and Metastability in Zero-Range Condensation

Condensation and clustering in the driven pair exclusion process

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