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Usually, the relaxation times of a gas are estimated in the frame of the Boltzmann equation. In this paper, instead, we deal with the relaxation problem in the frame of the dynamical theory of Hamiltonian systems, in which the definition…

Mathematical Physics · Physics 2011-12-26 A. M. Maiocchi , A. Carati

Optical tweezers setup is often used to probe the motion of individual tracer particle, which promotes the study of relaxation dynamics of a generic process confined in a harmonic potential. We uncover the dependence of ensemble- and…

Statistical Mechanics · Physics 2020-04-15 Xudong Wang , Yao Chen , Weihua Deng

In this expository article, we present a systematic formal derivation of the Kubo formula for the linear-response current due to a time-harmonic electric field applied to non-interacting, spinless charged particles in a finite volume in the…

Mathematical Physics · Physics 2023-08-15 Alexander B. Watson , Dionisios Margetis , Mitchell Luskin

We devise a microscopic model for the emergence of a collision-induced, fermionic atomic current across a tilted optical lattice. Tuning the - experimentally controllable - parameters of the microscopic dynamics allows to switch from Ohmic…

Other Condensed Matter · Physics 2016-08-31 Alexey V. Ponomarev , Javier Madronero , Andrey R. Kolovsky , Andreas Buchleitner

We analyze in detail the heating of bosonic atoms in an optical lattice due to incoherent scattering of light from the lasers forming the lattice. Because atoms scattered into higher bands do not thermalize on the timescale of typical…

Quantum Gases · Physics 2011-02-21 H. Pichler , A. J. Daley , P. Zoller

In this paper we present a decomposition algorithm for computation of the spatial-temporal optical flow of a dynamic image sequence. We consider several applications, such as the extraction of temporal motion features and motion detection…

Computer Vision and Pattern Recognition · Computer Science 2017-01-31 Aniello Raffale Patrone , Otmar Scherzer

The influence of finite relaxation times on Thomson scattering from warm-dense plasmas is examined within the framework of the average-atom approximation. Presently most calculations use the collision-free Lindhard dielectric function to…

Plasma Physics · Physics 2016-04-05 Walter R. Johnson , Joseph Nilsen

We develop a theoretical framework for the diffusion of a single unconstrained species of atoms on a crystal lattice that provides a generalization of the classical theories of atomic diffusion and diffusion-induced phase separation to…

Materials Science · Physics 2007-05-23 Eliot Fried , Shaun Sellers

Motivated by a recent experiment, we study the dynamics of bosons in a disordered optical lattice, interacting with a variably sized bath of disorder free atoms. As the number of particles in the bath is increased, there is a transition…

Quantum Gases · Physics 2021-04-27 Sridhar Prabhu , Erich J. Mueller

Diffusion occurs in numerous physical systems throughout nature, drawing its generality from the universality of the central limit theorem. Around a century ago it was realized that an extension to this type of dynamics can be obtained in…

Statistical Mechanics · Physics 2023-10-04 Gadi Afek , Nir Davidson , David A. Kessler , Eli Barkai

It is known that the quantized vortices in a superfluid can be described by a dual electromagnetic model through the duality transformation. Recently a new technique, which can selectively remove atoms from a Bose-Einstein condensate, was…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Hui Zhai , Qi Zhou

We show theoretically that the dynamics of cold atoms in the lowest energy band of a stationary optical lattice can be transformed and controlled by a second, weaker, periodic potential moving at a constant speed along the axis of the…

Quantum Gases · Physics 2013-01-16 M. T. Greenaway , A. G. Balanov , T. M. Fromhold

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

Quantum Physics · Physics 2007-05-23 Quentin Thommen , Jean Claude Garreau , Veronique Zehnle

In this study, a new set of fifth-order Stokes wave solutions, incorporating the effects of a linear shear current, is derived by utilizing the perturbation method originally proposed for pure waves that was recently published. The present…

Fluid Dynamics · Physics 2023-08-08 Haiqi Fang , Philip L. -F. Liu , Lian Tang , Pengzhi Lin

We study the out-of-equilibrium dynamics of bosonic atoms in a 1D optical lattice, after the ground-state is excited by a single spontaneous emission event, i.e. after an absorption and re-emission of a lattice photon. This is an important…

Quantum Gases · Physics 2015-02-27 Johannes Schachenmayer , Lode Pollet , Matthias Troyer , Andrew J. Daley

Starting from an effective action for the order parameter field, we derive a coupled set of generalized hydrodynamic equations for a Bose condensate in an optical lattice at finite temperatures. Using the linearized hydrodynamic equations,…

Other Condensed Matter · Physics 2009-11-11 Satoru Konabe , Tetsuro Nikuni

We study the process of squeezing of an ensemble of cold atoms in a pulsed optical lattice. The problem is treated both classically and quantum-mechanically under various thermal conditions. We show that a dramatic compression of the atomic…

Quantum Physics · Physics 2009-11-07 M. Leibscher , I. Sh. Averbukh

We study current fluctuations in lattice gases in the macroscopic limit extending the dynamic approach to density fluctuations developed in previous articles. More precisely, we derive large deviation estimates for the space--time…

Statistical Mechanics · Physics 2015-12-18 L. Bertini , A. De Sole , D. Gabrielli , G. Jona-Lasinio , C. Landim

A linear quantum dynamical theory for squeezing the output of the trapped Bose-Einstein condensate is presented with the Bogoliubov approximation. We observe that the non-classical properties, such as sub-Poisson distribution and quadrature…

Quantum Physics · Physics 2009-11-06 Hui Jing , Jing-Ling Chen , Mo-Lin Ge

We re-derive the equations of motion of dissipative relativistic fluid dynamics from kinetic theory. In contrast to the derivation of Israel and Stewart, which considered the second moment of the Boltzmann equation to obtain equations of…

Nuclear Theory · Physics 2010-10-27 G. S. Denicol , T. Koide , D. H. Rischke
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