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In this paper we review recent progress in studying quantum phase transitions in one- and two-component Bose-Einstein condensates (BEC) in optical lattices. These phase transitions involve the emergence and disappearance of quantum…

Strongly Correlated Electrons · Physics 2009-11-10 Yong-Shi Wu

We present finite-element numerical algorithms for the identification of vortices in quantum fluids described by a macroscopic complex wave function. Their implementation using the free software FreeFem++ is distributed with this paper as a…

Quantum Gases · Physics 2022-12-28 Victor Kalt , Georges Sadaka , Ionut Danaila , Frédéric Hecht

The existence of quantized vortices is a key feature of Bose-Einstein condensates. In equilibrium condensates only quantum vortices of unit topological charge are stable, due to the dynamical instabilities of multiply charged defects,…

Pattern Formation and Solitons · Physics 2020-06-19 Samuel N. Alperin , Natalia G. Berloff

Turbulence in quantum fluids has, surprisingly, a lot in common with its classical counterpart. Recently, cold atomic gases has emerged as a well controlled experimental platform to study turbulent dynamics. In this work, we introduce a…

Quantum Gases · Physics 2024-01-24 Myrann Baker-Rasooli , Wei Liu , Tangui Aladjidi , Alberto Bramati , Quentin Glorieux

This article reviews developments in the theory of rapidly rotating degenerate atomic gases. The main focus is on the equilibrium properties of a single component atomic Bose gas, which (at least at rest) forms a Bose-Einstein condensate.…

Mesoscale and Nanoscale Physics · Physics 2009-11-26 N. R. Cooper

Motivated by ongoing experimental efforts to make closed Bose-Einstein condensate (BEC) shells in microgravity environments, this work studies the energy and dynamics of singly quantized vortices on a thin spherical superfluid shell, where…

Quantum Gases · Physics 2022-02-15 Sálvio Jacob Bereta , Mônica A. Caracanhas , Alexander L. Fetter

We present theoretical analysis and numerical studies of the quantized vortices in a rotating Bose-Einstein condensate with spatiotemporally modulated interaction in harmonic and anharmonic potentials, respectively. The exact quantized…

Quantum Gases · Physics 2015-05-30 Deng-Shan Wang , Shu-Wei Song , Bo Xiong , W. M. Liu

We study the real-time dynamics of vortex lines in a large elongated Bose-Einstein condensate (BEC) of sodium atoms using a stroboscopic technique. Vortices are spontaneously produced via the Kibble-Zurek mechanism in a quench across the…

Self-consistent hydrodynamic one-loop quantum corrections to the Gross-Pitaevskii equation due to the interaction of the condensate with collective excitations are calculated. It is done by making use a formalism of effective action and…

Statistical Mechanics · Physics 2008-02-03 K. N. Ilinski , A. S. Stepanenko

We numerically model decaying quantum turbulence in two-dimensional disk-shaped Bose-Einstein condensates, and investigate the effects of finite temperature on the turbulent dynamics. We prepare initial states with a range of condensate…

Quantum Gases · Physics 2020-03-18 Andrew J. Groszek , Matthew J. Davis , Tapio P. Simula

We report the observation of the twisted decay of quadruply charged vortices in an atomic Bose-Einstein condensate. Supporting numerical simulations show that the singly-charged vortices, which result from the decay of a multi-charged…

In superfluid helium, vorticity is quantized and constrained on line-like phase singularities, called quantum or quantized vortices. By visualizing the motion of sub-micron frozen particles in superfluid $^{4}$He, we directly observe for…

Recent experiments on quantum turbulence in superfluid helium made use of small tracer particles to track the motion of quantized vortices, determine velocity statistics and visualize vortex reconnections. A problem with this visualization…

Other Condensed Matter · Physics 2009-06-01 C. F. Barenghi , Y. A. Sergeev

We reinvestigate numerically the classic problem of two-dimensional superfluid flow past an obstacle. Taking the obstacle to be elongated (perpendicular to the flow), rather than the usual circular form, is shown to promote the nucleation…

Quantum Gases · Physics 2015-06-23 G. W. Stagg , A. J. Allen , C. F. Barenghi , N. G. Parker

Experiments on dipolar Bose-Einstein condensates have recently reported the observation of supersolidity. Although quantized vortices constitute a key probe of superfluidity, their observability in dipolar supersolids is largely prevented…

Quantum Gases · Physics 2023-01-04 Marija Šindik , Alessio Recati , Santo Maria Roccuzzo , Luis Santos , Sandro Stringari

We study the hydrodynamics of quantum 4He crystal oscillations in a superfluid liquid with involving the dynamics of atomically rough surfaces. It is shown that, due to enhancement of the kinetic growth coefficient as the temperature…

Other Condensed Matter · Physics 2015-06-05 V. L. Tsymbalenko

Turbulence enhances momentum transport in classical fluids, effectively increasing their viscosity. We investigate an analogous effect in a superfluid by measuring the damping of collective oscillations in an atomic Bose-Einstein condensate…

Quantum Gases · Physics 2026-02-26 Junghoon Lee , Jongmin Kim , Jongheum Jung , Yong-il Shin

Bose mixture quantum droplets display a fascinating stability that relies on quantum fluctuations to prevent collapse driven by mean-field effects. Most droplet research focuses on untrapped or weakly trapped scenarios, where the droplets…

Quantum Gases · Physics 2023-09-27 T. A. Yoğurt , U. Tanyeri , A. Keleş , M. Ö. Oktel

The dynamics of non-equilibrium closed quantum systems and their route to thermalization are of fundamental interest to several fields, from cosmology to particle physics. However, a comprehensive description of non-equilibrium phenomena…

We study the elementary characteristics of turbulence in a quantum ferrofluid through the context of a dipolar Bose gas condensing from a highly non-equilibrium thermal state. Our simulations reveal that the dipolar interactions drive the…

Quantum Gases · Physics 2018-10-31 T. Bland , G. W. Stagg , L. Galantucci , A. W. Baggaley , N. G. Parker