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This work rectifies the hydrodynamic equations commonly used to describe the superfluid velocity field in such a way that vortex dynamics are also taken into account. In the field of quantum turbulence, it is of fundamental importance to…

Quantum Gases · Physics 2017-02-16 F. Ednilson A. dos Santos

We study the dynamics of vortices in finite temperature atomic Bose-Einstein condensates, focussing on decay rates, precession frequencies and core brightness, motivated by a recent experiment (Freilich et al. Science 329, 1182 (2010)) in…

Quantum Gases · Physics 2013-01-30 A. J. Allen , E. Zaremba , C. F. Barenghi , N. P. Proukakis

We formulate a quantum theory of vorticity (hydro)dynamics on a general two-dimensional bosonic lattice. In the classical limit of a bosonic condensate, it reduces to conserved plasma-like vortex-antivortex dynamics. The nonlocal…

Mesoscale and Nanoscale Physics · Physics 2019-11-13 Yaroslav Tserkovnyak , Ji Zou

We report on the experimental observation of vortex formation and production of tangled vortex distribution in an atomic BEC of Rb-87 atoms submitted to an external oscillatory perturbation. The oscillatory perturbations start by exciting…

Quantum Gases · Physics 2015-05-14 E. A. L. Henn , J. A. Seman , G. Roati , K. M. F. Magalhaes , V. S. Bagnato

Turbulence in the quantum (superfluid) regime, similarly to its classical counterpart, continues to attract a great deal of scientific inquiry, due to the yet high number of unresolved problems. While turbulent states can be routinely…

Quantum Physics · Physics 2020-04-10 João D. Rodrigues , José T. Mendonça , Hugo Terças

When a Bose-Einstein condensate (BEC) is driven out of equilibrium, density waves interact non-linearly and trigger turbulent cascades. In a turbulent BEC, energy is transferred towards small scales by a direct cascade, whereas the number…

Quantum Gases · Physics 2023-04-05 Ying Zhu , Boris Semisalov , Giorgio Krstulovic , Sergey Nazarenko

We discuss the finite-temperature phase diagram in the three-dimensional Bose-Hubbard (BH) model in the strong correlation regime, relevant for Bose-Einstein condensates in optical lattices, by employing a quantum rotor approach. In systems…

Quantum Gases · Physics 2010-06-03 T. P. Polak , T. K. Kopeć

Fluctuations are a key property of both classical and quantum systems. While the fluctuations are well understood for many quantum systems at zero temperature, the case of an interacting quantum system at finite temperature still poses…

Fermionic superfluids provide a new realization of quantum turbulence, accessible to both experiment and theory, yet relevant to phenomena from both cold atoms to nuclear astrophysics. In particular, the strongly interacting Fermi gas…

Quantum Gases · Physics 2016-12-13 Aurel Bulgac , Michael McNeil Forbes , Gabriel Wlazłowski

The occurrence of vortices in atomic Bose-Einstein condensates (BEC) enables a description of their superfluid behaviour. In this article we present a pedagogical introduction to the vortex physics in trapped atomic BECs. The mechanism of…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Sankalpa Ghosh

We propose a phenomenological equation for the vortex line density in rotating Bose-Einstein condensates as a function of the angular speed. This equation provides a simple description of the gross features of the increase in vortex number…

Other Condensed Matter · Physics 2007-12-12 Michele Sciacca , David Jou , Maria Stella Mongioví

We investigate the scaling of the energy cascade in a harmonically trapped, turbulent, rotating Bose-Einstein condensate (BEC) in two dimensions. We achieve turbulence by injecting a localized perturbation into the condensate and gradually…

Critical dynamics of an ultracold Bose gas far from equilibrium is studied in two spatial dimensions. Superfluid turbulence is created by quenching the equilibrium state close to zero temperature. Instead of immediately re-thermalizing, the…

Quantum Gases · Physics 2012-08-07 Jan Schole , Boris Nowak , Thomas Gasenzer

Generic scaling laws, such as the Kolmogorov's 5/3-law, are milestone achievements of turbulence research in classical fluids. For quantum fluids such as atomic Bose-Einstein condensates, superfluid helium, and superfluid neutron stars,…

Quantum Gases · Physics 2021-04-28 Yuan Tang , Shiran Bao , Wei Guo

We analyze the theoretical derivation of the beyond-mean-field equation of state for a two-dimensional gas of dilute, ultracold alkali-metal atoms in the Bardeen-Cooper-Schrieffer (BCS) to Bose-Einstein condensate (BEC) crossover. We show…

Quantum Gases · Physics 2018-07-24 G. Bighin , L. Salasnich

Using the Gaussian pair fluctuation theory, we investigate quantum fluctuations of a strongly interacting two-dimensional chiral \textit{p}-wave Fermi superfluid at the transition from a Bose-Einstein condensate (BEC) to a topologically…

Quantum Gases · Physics 2018-12-12 Hui Hu , Brendan C. Mulkerin , Lianyi He , Jia Wang , Xia-Ji Liu

We consider superfluid turbulence near absolute zero of temperature generated by classical means, e.g. towed grid or rotation but not by counterflow. We argue that such turbulence consists of a {\em polarized} tangle of mutually interacting…

Chaotic Dynamics · Physics 2009-02-18 Victor S. L'vov , Sergei V. Nazarenko , Oleksii Rudenko

We study the long-time decay of rotating turbulence in Bose-Einstein condensates (BECs). We consider the Gross-Pitaevskii equation in a rotating frame of reference, and review different formulations for the Hamiltonian of a rotating BEC. We…

Quantum Gases · Physics 2024-05-17 Julian Amette Estrada , Marc E. Brachet , Pablo D. Mininni

The recent developments of microgravity experiments with ultracold atoms have produced a relevant boost in the study of shell-shaped ellipsoidal Bose-Einstein condensates. For realistic bubble-trap parameters, here we calculate the critical…

Quantum Gases · Physics 2020-07-01 A. Tononi , F. Cinti , L. Salasnich

Motivated by the recent achievement of space-based Bose-Einstein condensates (BEC) with ultracold alkali-metal atoms under microgravity and by the proposal of bubble traps which confine atoms on a thin shell, we investigate the BEC…

Quantum Gases · Physics 2019-10-22 A. Tononi , L. Salasnich
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