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Supersolids are states of matter that spontaneously break two continuous symmetries: translational invariance due to the appearance of a crystal structure and phase invariance due to phase locking of single-particle wave functions,…

Matter at low temperatures exhibits unusual properties such as superfluidity, superconductivity, Bose-Einstein condensation, and supersolidity. These states display quantum mechanical behaviours at scales much larger than atomic dimensions.…

Statistical Mechanics · Physics 2007-05-23 Gregory P. Bewley , Daniel P. Lathrop , Katepalli R. Sreenivasan

Vortex coherent structures on arrays of nonlinear oscillators joined by weak links into topologically nontrivial two-dimensional discrete manifolds have been theoretically studied. A circuit of nonlinear electric oscillators coupled by…

Pattern Formation and Solitons · Physics 2020-07-01 Victor P. Ruban

In this work, we analyze the evolution of four vortex configurations, namely, dipole, plasma, cluster, and lattice, using the two-dimensional mean-field Gross-Pitaevskii equation, focusing on their dynamical decay and approach to the…

Quantum Gases · Physics 2025-12-02 Shawan K. Jha , Makoto Tsubota , Pankaj K. Mishra

The merger of two like-signed vortices is a well-studied problem, but in a turbulent flow, we may often have more than two like-signed vortices interacting. We study the merger of three or more identical co-rotating vortices initially…

Fluid Dynamics · Physics 2017-04-06 Rohith V. Swaminathan , S. Ravichandran , Prasad Perlekar , Rama Govindarajan

The vortex-vortex interaction in two-component Bose-Einstein condensates is shown to present characteristic effects not possible in single-component condensates. In particular, vortices in different components undergo separate, but…

Soft Condensed Matter · Physics 2015-06-24 P. Ohberg , L. Santos

The dynamics of one and two pointlike vortices in a planar quantum gas of spin-0 particles confined in an annular region is considered. New analytical and numerical solutions are found. The concept of stationarity radius, related to the…

Statistical Mechanics · Physics 2008-05-29 Markus Lakaniemi

Quantum vortices are often endowed with an effective inertial mass, due, for example, to massive particles in their cores. Such "massive vortices" display new phenomena beyond the standard picture of superfluid vortex dynamics, where the…

Quantum Gases · Physics 2023-09-06 Andrea Richaud , Giacomo Lamporesi , Massimo Capone , Alessio Recati

The quantization of vortex lines in superfluids requires the introduction of their density $\C L(\B r,t)$ in the description of quantum turbulence. The space homogeneous balance equation for $\C L(t)$, proposed by Vinen on the basis of…

Other Condensed Matter · Physics 2015-06-11 D. Khomenko , L. Kondaurova , V. S. L'vov , P. Mishra , A. Pomyalov , I. Procaccia

We consider a Bose-Einstein condensate confined in a ``Mexican hat'' potential, with a quartic minus quadratic radial dependence. We find conditions under which the ground state is annular in shape, with a hole in the center of the…

Other Condensed Matter · Physics 2009-11-11 M. Cozzini , B. Jackson , S. Stringari

Numerical simulation has indicated that vortex structures can exist for a long time in the form of quantized filaments on arrays of coupled weakly dissipative nonlinear oscillators in a finite three-dimensional domain under a resonant…

Pattern Formation and Solitons · Physics 2020-12-11 Victor P. Ruban

Atomic gases confined in curved geometries are characterized by distinctive features that are absent in their flat counterparts, such as periodic boundaries, local curvature, and nontrivial topologies. The recent experiments with…

Quantum Gases · Physics 2023-12-12 A. Tononi , L. Salasnich

Rotation of a container holding a viscous fluid forms a vortex which grows with increasing angular velocity. A superfluid, however, is intrinsically different from these normal fluids because its rotation is quantized. Even if a container…

Within the simplest holographic superfluid model and without any ingredients put by hand, it is shown that vortices can be generated when the angular velocity of rotating superfluids exceeds certain critical values, which can be precisely…

High Energy Physics - Theory · Physics 2021-04-06 Xin Li , Yu Tian , Hongbao Zhang

We study controlled methods of preparing vortex configurations in atomic Bose-Einstein condensates and their use in the studies of fundamental vortex scattering, reconnection processes and superfluid sound emission. We explore techniques of…

Other Condensed Matter · Physics 2009-11-11 J. Ruostekoski , Z. Dutton

Following recent evidence that the vortices in decaying two-dimensional turbulence can be classified into small--mobile, and large--quasi-stationary, this paper examines the evidence that the latter might be considered a `crystal' whose…

Fluid Dynamics · Physics 2021-08-04 Javier Jiménez

Clustering of like-sign vortices in a planar bounded domain is known to occur at negative temperature, a phenomenon that Onsager demonstrated to be a consequence of bounded phase space. In a confined superfluid, quantized vortices can…

Quantum Gases · Physics 2016-09-01 Xiaoquan Yu , Thomas P. Billam , Jun Nian , Matthew T. Reeves , Ashton S. Bradley

We theoretically investigate the non-equilibrium dynamics of quantum vortices in a two-dimensional rotating Bose-Einstein condensate following an interaction quench. Using an ab initio and numerically exact quantum many-body approach, we…

Quantum Gases · Physics 2026-02-24 L. A. Machado , B. Chatterjee , M. A. Caracanhas , L. Madeira , V. S. Bagnato , B. Chakrabarti

We consider a two-dimensional self-bound quantum droplet, which consists of a mixture of two Bose-Einstein condensates. We start with the ground state, and then turn to the rotational response of this system, in the presence of an external…

Quantum Gases · Physics 2020-08-26 P. Examilioti , G. M. Kavoulakis

Vortices are expected to exist in a supersolid but experimentally their detection can be difficult because the vortex cores are localized at positions where the local density is very low. We address here this problem by performing numerical…

Quantum Gases · Physics 2021-07-15 Francesco Ancilotto , Manuel Barranco , Marti Pi , Luciano Reatto