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We derive the hydrodynamic equations of motion of solid and supersolid 4He, that describe the collective modes of these phases. In particular, the usual hydrodynamics is modified in such a way that it leads to the presence of a propagating…

Condensed Matter · Physics 2014-10-13 M. J. Bijlsma , H. T. C. Stoof

While quantum fluctuations in binary mixtures of bosonic atoms with short-range interactions can lead to the formation of a self-bound droplet, for equal intra-component interactions but an unequal number of atoms in the two components,…

Quantum Gases · Physics 2021-11-01 M. Nilsson Tengstrand , S. M. Reimann

Building on a recently improved understanding of the problem of heat flow in general relativity, we develop a hydrodynamical model for coupled finite temperature superfluids. The formalism is designed with the dynamics of the outer core of…

General Relativity and Quantum Cosmology · Physics 2015-06-12 N. Andersson , C. Krueger , G. L. Comer , L. Samuelsson

Synthetic spin-orbit coupling in ultracold atomic gases can be taken to extremes rarely found in solids. We study a two dimensional Hubbard model of bosons in an optical lattice in the presence of spin-orbit coupling strong enough to drive…

Quantum Gases · Physics 2017-11-21 Mi Yan , Yinyin Qian , Hoi-Yin Hui , Ming Gong , Chuanwei Zhang , Vito W. Scarola

The paper deals with the study of superfluidity by a Ginzburg-Landau model that investigates the material by a second order phase transition, in which any particle has simultaneouly a normal and superfluid motion. This pattern is able to…

Superconductivity · Physics 2008-06-02 Mauro Fabrizio

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…

It is well known that a superfluid rotates by forming an array of quantized vortices. A relativistic formulation for superfluid vortex dynamics is required for a range of problems in astrophysics and cosmology, from neutron star interiors…

General Relativity and Quantum Cosmology · Physics 2020-06-17 N. Andersson , S. Wells , G. L. Comer

We report results of a classical simulation of thermal phase slips, and the associated relaxation of supercurrent, in a ring-shaped one-dimensional superfluid. We find that the classical relaxation rate vanishes in the uniform limit. This…

Superconductivity · Physics 2007-05-23 S. Khlebnikov

Motivated by recent experiments, we study normal-phase rotating He-3 droplets within Density Functional Theory in a semi-classical approach. The sequence of rotating droplet shapes as a function of angular momentum are found to agree with…

Other Condensed Matter · Physics 2020-06-24 Marti Pi , Francesco Ancilotto , Manuel Barranco

The flow of granular material in a rotating cylinder was simulated by molecular dynamics in two dimensions using spherical as well as nonspherical grains. At very low but constant angular velocity we found that the flow varies irregularly…

Condensed Matter · Physics 2007-05-23 Thorsten Poeschel , Volkhard Buchholtz

A repulsively interacting Bose-Einstein condensate on a ring is well known to show persistent currents. For attractive interactions, however, a bound state may form that renders the rotation classical. Here we show that in a…

Quantum Gases · Physics 2024-03-01 K. Mukherjee , T. Arnone Cardinale , S. M. Reimann

In this paper a rotating two-fluid model for the propagation of internal waves is introduced. The model can be derived from a rotating-fluid problem by including gravity effects or from a nonrotating one by adding rotational forces in the…

Analysis of PDEs · Mathematics 2019-02-27 A. Durán

We study a quasi-two-dimensional monolayer of granular rods fluidized by a spatially and temporally homogeneous upflow of air. By tracking the position and orientation of the particles, we characterize the dynamics of the system with…

Soft Condensed Matter · Physics 2010-11-03 L. J. Daniels , Y. Park , T. C. Lubensky , D. J. Durian

We assess experimentally and theoretically the character of the superfluid-supersolid quantum phase transition recently discovered in trapped dipolar quantum gases. We find that one-row supersolids can have already two types of phase…

Quantum Gases · Physics 2024-06-11 G. Biagioni , N. Antolini , A. Alaña , M. Modugno , A. Fioretti , C. Gabbanini , L. Tanzi , G. Modugno

Using a modified WKB approach, we present a rigorous semi-classical analysis for solutions of nonlinear Schroedinger equations with rotational forcing. This yields a rigorous justification for the hydrodynamical system of rotating…

Analysis of PDEs · Mathematics 2010-09-03 Hailiang Liu , Christof Sparber

Recent breakthrough experiments on dipolar condensates have reported the creation of supersolids, including two-dimensional arrays of quantum droplets. Droplet arrays are, however, not the only possible non-trivial density arrangement…

Quantum Gases · Physics 2022-12-14 Albert Gallemí , Luis Santos

We have studied spinning superfluid $^4$He nanodroplets at zero temperature using Density Functional theory. Due to the irrotational character of the superfluid flow, the shapes of the spinning nanodroplets are very different from those of…

Mesoscale and Nanoscale Physics · Physics 2018-05-30 Francesco Ancilotto , Manuel Barranco , Marti Pi

The dynamics of a Bose-Einstein condensate is studied theoretically in a combined periodic plus harmonic external potential. Different dynamical regimes of stable and unstable collective dipole and Bloch oscillations are analysed in terms…

Other Condensed Matter · Physics 2007-05-23 Joachim Brand , Andrey R. Kolovsky

New, superfluid specific additive integral of motion is found. This facilitates investigation of general thermodynamic equilibrium conditions for superfluid. The analysis is performed in an extended space of thermodynamic variables…

Soft Condensed Matter · Physics 2009-11-10 A. F. Andreev , L. A. Melnikovsky

We suggest an experimentally feasible procedure to observe paired and counterflow superfluidity in ultra-cold atom systems. We study the time evolution of one-dimensional mixtures of bosonic atoms in an optical lattice following an abrupt…

Quantum Gases · Physics 2015-03-19 Anzi Hu , L. Mathey , Eite Tiesinga , Ippei Danshita , Carl J. Williams , Charles W. Clark