Merging $N$ independent condensates: Disentangling the Kibble-Zurek mechanismMerging $N$ independent condensates: Disentangling the Kibble-Zurek mechanism

Monika Aidelsburger, Jean-Loup Ville, R. Saint-Jalm +3 more

The Kibble-Zurek theory predicts the scaling of the defect density with the quench rate across a second-order phase transition. The detailed dynamics is generally complex, which makes quantitative comparisons with experiments challenging. Here, we investigate the formation of supercurrents in an annulus by merging an adjustable number $N$ of equally-sized condensates with random phases. This circumvents uncertainties associated with random domain sizes and enables a direct investigation of the supercurrent formation. We study its scaling with $N$ and determine the underlying relaxation timescales.The Kibble-Zurek theory predicts the scaling of the defect density with the quench rate across a second-order phase transition. The detailed dynamics is generally complex, which makes quantitative comparisons with experiments challenging. Here, we investigate the formation of supercurrents in an annulus by merging an adjustable number $N$ of equally-sized condensates with random phases. This circumvents uncertainties associated with random domain sizes and enables a direct investigation of the supercurrent formation. We study its scaling with $N$ and determine the underlying relaxation timescales.

May 7, 20171 citation

Spontaneous Quantum Turbulence in a Newborn Bose-Einstein Condensate via the Kibble-Zurek Mechanism

Seong-Ho Shinn, Matteo Massaro, Thudiyangal Mithun +1 more

The Kibble-Zurek mechanism (KZM) predicts the spontaneous formation of topological defects in a continuous phase transition driven at a finite rate. We propose the generation of spontaneous quantum turbulence (SQT) via the KZM during Bose-Einstein condensation induced by a thermal quench. Using numerical simulations of the stochastic projected Gross-Pitaevskii equation in two spatial dimensions, we describe the formation of a newborn Bose-Einstein condensate proliferated by quantum vortices. We establish the nonequilibrium universality of SQT through the Kibble-Zurek and Kolmogorov scaling of the incompressible kinetic energy.The Kibble-Zurek mechanism (KZM) predicts the spontaneous formation of topological defects in a continuous phase transition driven at a finite rate. We propose the generation of spontaneous quantum turbulence (SQT) via the KZM during Bose-Einstein condensation induced by a thermal quench. Using numerical simulations of the stochastic projected Gross-Pitaevskii equation in two spatial dimensions, we describe the formation of a newborn Bose-Einstein condensate proliferated by quantum vortices. We establish the nonequilibrium universality of SQT through the Kibble-Zurek and Kolmogorov scaling of the incompressible kinetic energy.

arXiv:2506.21670Physical Review LettersMay 28, 20260 citations

Adding to the Ranks of Condensates

ScienceNov 9, 20010 citations

Observation of generalized Kibble-Zurek mechanism across a first-order quantum phase transition in a spinor condensate

L.-Y. Qiu, Hongyu Liang, Yan-Bin Yang +4 more

The Kibble-Zurek mechanism provides a unified theory to describe the universal scaling laws in the dynamics when a system is driven through a second-order quantum phase transition. However, for first-order quantum phase transitions, the Kibble-Zurek mechanism is usually not applicable. Here, we experimentally demonstrate and theoretically analyze a power-law scaling in the dynamics of a spin-1 condensate across a first-order quantum phase transition when a system is slowly driven from a polar phase to an antiferromagnetic phase. We show that this power-law scaling can be described by a generalized Kibble-Zurek mechanism. Furthermore, by experimentally measuring the spin population, we show the power-law scaling of the temporal onset of spin excitations with respect to the quench rate, which agrees well with our numerical simulation results. Our results open the door for further exploring the generalized Kibble-Zurek mechanism to understand the dynamics across first-order quantum phase transitions.The Kibble-Zurek mechanism provides a unified theory to describe the universal scaling laws in the dynamics when a system is driven through a second-order quantum phase transition. However, for first-order quantum phase transitions, the Kibble-Zurek mechanism is usually not applicable. Here, we experimentally demonstrate and theoretically analyze a power-law scaling in the dynamics of a spin-1 condensate across a first-order quantum phase transition when a system is slowly driven from a polar phase to an antiferromagnetic phase. We show that this power-law scaling can be described by a generalized Kibble-Zurek mechanism. Furthermore, by experimentally measuring the spin population, we show the power-law scaling of the temporal onset of spin excitations with respect to the quench rate, which agrees well with our numerical simulation results. Our results open the door for further exploring the generalized Kibble-Zurek mechanism to understand the dynamics across first-order quantum phase transitions.

arXiv:2001.10210Science AdvancesMay 22, 202041 citations

Merging

N

independent condensates: Disentangling the Kibble-Zurek mechanism

N

of equally-sized condensates with random phases. This circumvents uncertainties associated with random domain sizes and enables a direct investigation of the supercurrent formation. We study its scaling with

N

and determine the underlying relaxation timescales.