Kibble-Zurek Scaling and Spatial Statistics in Quenched Binary Bose Superfluids

Fuente: arXiv
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Autori principali: Patra, Subhadeep, Roy, Arko, Shinn, Seong-Ho, del Campo, Adolfo, Thudiyangal, Mithun
Natura: Preprint
Pubblicazione: 2025
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author Patra, Subhadeep
Roy, Arko
Shinn, Seong-Ho
del Campo, Adolfo
Thudiyangal, Mithun
author_facet Patra, Subhadeep
Roy, Arko
Shinn, Seong-Ho
del Campo, Adolfo
Thudiyangal, Mithun
contents The emergence of order from an initially uncorrelated state across a phase transition is a central problem in quantum many-body physics, particularly in multicomponent systems where interactions between components lead to rich nonequilibrium dynamics. While defect formation is known to follow universal scaling laws, prior studies have focused mainly on defect density, leaving their spatial organization largely unexplored. Here we show that gradually tuning the chemical potential in a two-dimensional binary Bose gas drives condensation into either a miscible or immiscible phase. In the immiscible regime, domains form whose number, size, and boundary length obey Kibble-Zurek (KZ) scaling and evolve self-similarly. In the miscible regime, vortices emerge with KZ scaling. In both cases, the spatial distribution of vortices and domains is well described by a Poisson point process with KZ-determined density. These results reveal universal features of far-from-equilibrium dynamics and provide a framework to characterize stochastic geometry in multicomponent quantum systems.
format Preprint
id arxiv_https___arxiv_org_abs_2510_12770
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Kibble-Zurek Scaling and Spatial Statistics in Quenched Binary Bose Superfluids
Patra, Subhadeep
Roy, Arko
Shinn, Seong-Ho
del Campo, Adolfo
Thudiyangal, Mithun
Quantum Gases
The emergence of order from an initially uncorrelated state across a phase transition is a central problem in quantum many-body physics, particularly in multicomponent systems where interactions between components lead to rich nonequilibrium dynamics. While defect formation is known to follow universal scaling laws, prior studies have focused mainly on defect density, leaving their spatial organization largely unexplored. Here we show that gradually tuning the chemical potential in a two-dimensional binary Bose gas drives condensation into either a miscible or immiscible phase. In the immiscible regime, domains form whose number, size, and boundary length obey Kibble-Zurek (KZ) scaling and evolve self-similarly. In the miscible regime, vortices emerge with KZ scaling. In both cases, the spatial distribution of vortices and domains is well described by a Poisson point process with KZ-determined density. These results reveal universal features of far-from-equilibrium dynamics and provide a framework to characterize stochastic geometry in multicomponent quantum systems.
title Kibble-Zurek Scaling and Spatial Statistics in Quenched Binary Bose Superfluids
topic Quantum Gases
url https://arxiv.org/abs/2510.12770