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We study the dynamic response of ultracold bosons trapped in one-dimensional optical lattices using Quantum Monte Carlo simulations of the boson Hubbard model with a confining potential. The dynamic structure factor reveals the…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 G. G. Batrouni , F. F. Assaad , R. T. Scalettar , P. J. H. Denteneer

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:…

Statistical Mechanics · Physics 2021-11-24 Vincenzo Alba , Bruno Bertini , Maurizio Fagotti , Lorenzo Piroli , Paola Ruggiero

We derive a non-equilibrium finite-temperature kinetic theory for a binary mixture of two interacting atomic Bose-Einstein condensates and use it to explore the degree of hydrodynamicity attainable in realistic experimental geometries.…

Quantum Gases · Physics 2015-12-08 M. J. Edmonds , K. L. Lee , N. P. Proukakis

By constructing a hydrodynamic canonical formalism, we show that the occurrence of an arbitrary density-dependent gauge potential in the meanfield Hamiltonian of a Bose-condensed fluid invariably leads to nonlinear flow-dependent terms in…

Quantum Gases · Physics 2021-01-06 Y. Buggy , L. G. Phillips , P. Öhberg

In this paper the quantum hydrodynamic equation describing the collective, low energy excitations of a dilute atomic Bose gas in a given trapping potential is investigated with the JWKB semiclassical method. In the case of spherically…

Statistical Mechanics · Physics 2009-10-31 Tamas Tasnadi

We study the effect of thermal and quantum fluctuations on the dynamical response of a one-dimensional strongly-interacting Bose gas in a tight atomic waveguide. We combine the Luttinger liquid theory at arbitrary interactions and the exact…

Quantum Gases · Physics 2015-06-18 Guillaume Lang , Frank Hekking , Anna Minguzzi

We study the dynamics of Bose-Einstein condensed atoms in a 1-D optical lattice potential in a regime where the collective (Josephson) tunneling energy is comparable with the on-site interaction energy, and the number of particles per…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 A. K. Tuchman , W. Li , H. Chien , S. Dettmer , M. A. Kasevich

We work out the dynamics of the compressible edge of the quantum Hall system based on the electrostatic model of Chklovskii et al.. We introduce a generalized version of Wen's hydrodynamic quantization approach to the dynamics of sharp edge…

Condensed Matter · Physics 2009-10-28 J. H. Han , D. J. Thouless

We extract electron transport properties from atomistic simulations of a two-component plasma, by mapping the long-wavelength behaviour to a two-fluid model. The mapping procedure is performed via Markov Chain Monte Carlo sampling over…

Plasma Physics · Physics 2024-10-14 Pontus Svensson , Patrick Hollebon , Daniel Plummer , Sam M. Vinko , Gianluca Gregori

A quantum Monte Carlo simulation of a system of hard rods in one dimension is presented and discussed. The calculation is exact since the analytical form of the wavefunction is known, and is in excellent agreement with predictions obtained…

Other Condensed Matter · Physics 2009-11-13 F. Mazzanti , G. E. Astrakharchik , J. Boronat , J. Casulleras

We use the quantum kinetic theory to calculate the steady state and the fluctuations of a trapped Bose-Einstein condensate at finite temperature. The system is divided in a condensate and a non-condensate part. A quantum mechanical…

Statistical Mechanics · Physics 2009-10-30 D. Jaksch , C. W. Gardiner , K. M. Gheri , P. Zoller

We suggest that collective oscillation frequencies of cold trapped gases can be used to test predictions from quantum many-body physics. Our motivation lies both in rigid experimental tests of theoretical calculations and a possible…

Quantum Gases · Physics 2011-11-24 Igor Boettcher , Stefan Floerchinger , Christof Wetterich

Recently it was shown that the Landau-Khalatnikov two-fluid hydrodynamics describes the collision-dominated region of a trapped Bose condensate interacting with a thermal cloud. We use these equations to discuss the low frequency…

Statistical Mechanics · Physics 2009-11-10 Tetsuro Nikuni , Allan Griffin

Generalized hydrodynamics (GHD) is a recent theoretical approach that is becoming a go-to tool for characterizing out-of-equilibrium phenomena in integrable and near-integrable quantum many-body systems. Here, we benchmark its performance…

Quantum Gases · Physics 2024-04-23 R. S. Watson , S. A. Simmons , K. V. Kheruntsyan

In this study, we reveal nontrivial quantum physics in an infinite-temperature system. By performing an unbiased quantum Monte Carlo simulation, we study a hybrid model composed of hard-core bosons, whose hopping amplitude is mediated by…

Statistical Mechanics · Physics 2025-09-03 Tengzhou Zhang , Zhizhen Chen , Zi Cai

It is shown that it is possible to bosonize fermions in any number of dimensions using the hydrodynamic variables, namely the velocity potential and density. The slow part of the Fermi field is defined irrespective of dimensionality and the…

Strongly Correlated Electrons · Physics 2009-11-11 Girish S. Setlur

We obtain the dynamics in number and phase difference, for Bose condensates that tunnel between two wells of a double-well atomic trap, using the (nonlinear) Gross-Pitaevskii equation.The dynamical equations are of the canonical form for…

Other Condensed Matter · Physics 2015-06-25 Subodh R. Shenoy

We calculate the damping of low-lying collective modes of a trapped Bose gas in the hydrodynamic regime, and show that this comes solely from the shear viscosity, since the contributions from bulk viscosity and thermal conduction vanish.…

Condensed Matter · Physics 2009-10-30 G. M. Kavoulakis , C. J. Pethick , H. Smith

A review is given of recent theoretical work on the superfluid dynamics of trapped Bose gases at finite temperatures, where there is a significant fraction of non-condensate atoms. One can now reach large enough densities and collision…

Condensed Matter · Physics 2007-05-23 Allan Griffin , Tetsuro Nikuni

A self-consistent theory of bulk electrolytes incorporating electrostatic and hard-core interactions on an equal level is applied to the two-dimensional Coulomb liquid with finite ion size. The ionic pair distributions, the structure…

Soft Condensed Matter · Physics 2026-04-10 Sahin Buyukdagli
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