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We give a pedagogical introduction to the Generalized Hydrodynamic approach to inhomogeneous quenches in integrable many-body quantum systems. We review recent applications of the theory, focusing in particular on two classes of problems:…

统计力学 · 物理学 2021-11-24 Vincenzo Alba , Bruno Bertini , Maurizio Fagotti , Lorenzo Piroli , Paola Ruggiero

Hydrodynamics and quantum mechanics have many elements in common, as the density field and velocity fields are common variables that can be constructed in both descriptions. Starting with the Schroedinger equation and the Klein-Gordon for a…

核理论 · 物理学 2014-06-18 Cheuk-Yin Wong

Turbulent phenomena are among the most striking effects that both classical and quantum fluids can exhibit. While classical turbulence is ubiquitous in nature, the observation of quantum turbulence requires the precise manipulation of…

We discuss the relation between three recent approaches of describing the dynamics and the spatial distribution of particles suspended in turbulent flows: phase-space singularities in the inertial particle dynamics (caustics), real-space…

流体动力学 · 物理学 2015-06-05 K. Gustavsson , E. Meneguz , M. Reeks , B. Mehlig

We derive a hydrodynamic model for a liquid of arbitrarily curved flux-lines and vortex loops using the mapping of the vortex liquid onto a liquid of relativistic charged quantum bosons in 2+1 dimensions recently suggested by Tesanovic and…

超导电性 · 物理学 2007-05-23 P. Benetatos , M. C. Marchetti

We consider the evolution of a two-mode system of bosons under the action of a Hamiltonian that generates linear SU(2) transformations. The Hamiltonian is generic in that it represents a host of entanglement mechanisms, which can thus be…

量子物理 · 物理学 2009-11-13 G. S. Agarwal , J. Banerji

Vortices are a hallmark of topologically nontrivial dynamics in nonlinear physics and arise in a huge variety of systems, from space and atmosphere to condensed matter and quantum gases. In optics, vortices manifest as phase twists of the…

Quantum hydrodynamics is a formulation of quantum mechanics based on the probability density and flux (current) density of a quantum system. It can be used to define trajectories which allow for a particle-based interpretation of quantum…

量子物理 · 物理学 2019-12-02 Axel Schild

We explore the possible regimes of decaying two-dimensional quantum turbulence, and elucidate the nature of spectral energy transport by introducing a dissipative point-vortex model with phenomenological vortex-sound interactions. The model…

量子气体 · 物理学 2015-02-24 T. P. Billam , M. T. Reeves , A. S. Bradley

Hydrodynamic equations for a one-component plasma are derived as a generalization of the Euler equations to include the effects of the long-range Coulomb interaction. By using a variational principle, these equations self-consistently unify…

等离子体物理 · 物理学 2024-03-20 Daniels Krimans , Seth Putterman

We consider the dynamics of a droplet on a vibrating fluid bath. This hydrodynamic quantum analog system is shown to elicit the canonical behavior of damped-driven systems, including a period doubling route to chaos. By approximating the…

动力系统 · 数学 2022-11-10 Aminur Rahman , J. Nathan Kutz

We discuss the effects of quantum fluctuations on the properties of vortex lattices in rapidly rotating ultracold atomic gases. We develop a variational method that goes beyond the Bogoliubov theory by including the effects of interactions…

量子气体 · 物理学 2013-11-22 M. P. Kwasigroch , N. R. Cooper

The particle diffusion in a fluid is a classical topic that dates back to more than one century ago. However, a full solution to this issue still lacks. In this work the velocity autocorrelation function and the diffusion constant are…

流体动力学 · 物理学 2016-08-03 Hanqing Zhao , Hong Zhao

The dynamics of quantum vortices in a two-dimensional annular condensate are considered by numerically simulating the Gross-Pitaevskii equation. Families of solitary wave sequences are reported, both without and with a persistent flow, for…

其他凝聚态物理 · 物理学 2012-09-27 Peter Mason , Natalia G. Berloff

The interplay between quantum fluctuation and spacetime curvature is shown to induce an additional quantum-curvature (QC) term in the energy-momentum tensor of fluid using the generalized framework of the stochastic variational method…

量子物理 · 物理学 2019-07-17 T. Koide , T. Kodama

The spontaneous (so-called Quincke) rotation of an uncharged, solid, dielectric, spherical particle under a steady electric field is analyzed, accounting for the inertia of the particle and the transient fluid inertia, or ``hydrodynamic…

流体动力学 · 物理学 2025-09-15 Jason K. Kabarowski , Aditya S. Khair , Rahil N. Valani

I study vortex ring oscillations in a superfluid, trapped in an elongated trap, under the conditions of the Local Density Approximation. On the basis of the Hamiltonian formalism I develop a hydrodynamic theory, which is valid for an…

量子气体 · 物理学 2013-11-20 Lev P. Pitaevskii

A quantum fluid dynamic control formulation is presented for optimally manipulating atomic and molecular systems. In quantum fluid dynamic the control quantum system is expressed in terms of the probability density and the quantum current.…

化学物理 · 物理学 2009-11-06 Bijoy K. Dey , Herschel Rabitz , Attila Askar

Quantum liquids in two dimensions represent interesting dynamical quantum systems for several reasons, among them the possibility of the existence of infinite hidden symmetries, such as conformal symmetry or the symmetry associated with…

数学物理 · 物理学 2013-11-28 Eldad Bettelheim

This papers presents a formalism describing the dynamics of a quantum particle in a one-dimensional tilted time-dependent lattice. The description uses the Wannier-Stark states, which are localized in each site of the lattice and provides a…

量子物理 · 物理学 2007-05-23 Quentin Thommen , Jean Claude Garreau , Veronique Zehnle