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Related papers: Atomic current in optical lattices: Esaki-Tsu equa…

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We present an approximate analytical theory and direct numerical computation of defect modes of a Bose-Einstein condensate loaded in an optical lattice and subject to an additional localized (defect) potential. Some of the modes are found…

Other Condensed Matter · Physics 2016-08-16 V. A. Brazhnyi , V. V. Konotop , Víctor M. Pérez-García

We analyze quantum transport of charged fermionic particles in the tight-binding lattice connecting two particle reservoirs (the leads). If the lead chemical potentials are different they create an electric field which tilts the lattice. We…

Mesoscale and Nanoscale Physics · Physics 2026-04-15 Andrey R. Kolovsky

We investigate the thermodynamic consistency of the master equation description of heat transport through an optomechanical system attached to two heat baths, one optical and one mechanical. We employ three different master equations to…

Quantum Physics · Physics 2018-11-28 Muhammad T. Naseem , André Xuereb , Özgür E. Müstecaplıoğlu

Energy-transport equations for the transport of fermions in optical lattices are formally derived from a Boltzmann transport equation with a periodic lattice potential in the diffusive limit. The limit model possesses a formal gradient-flow…

Analysis of PDEs · Mathematics 2017-04-11 Marcel Braukhoff , Ansgar Jüngel

We give a quantitative analysis of the dynamical properties of fermionic cold atomic gases in normal phase, such as the shear viscosity, heat conductivity, and viscous relaxation times, using the novel microscopic expressions derived by the…

Quantum Gases · Physics 2016-06-22 Yuta Kikuchi , Kyosuke Tsumura , Teiji Kunihiro

We analyze the interference pattern produced by ultracold atoms released from an optical lattice. Such interference patterns are commonly interpreted as the momentum distributions of the trapped quantum gas. We show that for finite…

The realization of a directed current for a quantum particle in a flashing asymmetric potential is studied. It is found that a positive current, i.e. in the direction expected for a conventional diffusive ratchet, can be attained at short…

Other Condensed Matter · Physics 2009-11-10 Emil Lundh , Mats Wallin

The accelerated optical lattice has emerged as a valuable technique for the investigation of quantum transport physics and has found widespread application in quantum sensing, including atomic gravimeters and atomic gyroscopes. In our…

Quantum Gases · Physics 2023-09-14 Guoling Yin , Lingchii Kong , Zhongcheng Yu , Jinyuan Tian , Xuzong Chen , Xiaoji Zhou

The Omori-Utsu law shows the temporal power-law-like decrease of the frequency of earthquake aftershocks and, interestingly, is found in a variety of complex systems/phenomena exhibiting catastrophes. Now, it may be interpreted as a…

Geophysics · Physics 2023-07-11 Sumiyoshi Abe , Norikazu Suzuki , Dmitrii A. Tayurskii

In this paper we discuss decay of superfluid currents in boson lattice systems due to quantum tunneling and thermal activation mechanisms. We derive asymptotic expressions for the decay rate near the critical current in two regimes, deep in…

Superconductivity · Physics 2007-05-23 A. Polkovnikov , E. Altman , E. Demler , B. I. Halperin , M. D. Lukin

Classical Hamiltonian ratchets have been recently successfully realized using cold atoms in driven optical lattices. Here we study the current rectification of the motion of a quantum particle in a periodic potential exposed to an external…

Statistical Mechanics · Physics 2007-05-23 S. Denisov , L. Morales-Molina , S. Flach

The semiclassical dynamics of atoms are theoretically studied, when the atoms are confined inside a standing-wave high-finesse resonator. The atoms are cooled by scattering processes in which the photons of a transverse laser are coherently…

Quantum Physics · Physics 2014-02-20 Stefan Schütz , Hessam Habibian , Giovanna Morigi

We show that the current method of determining superfluidity in optical lattices based on a visibly sharp bosonic momentum distribution $n({\bf k})$ can be misleading, for even a normal Bose gas can have a similarly sharp $n({\bf k})$. We…

Other Condensed Matter · Physics 2009-11-11 Roberto B. Diener , Qi Zhou , Hui Zhai , Tin-Lun Ho

The theory of open quantum systems is one of the most essential tools for the development of quantum technologies. A particular area of interest is in the optical response of solid state systems, where dissipation is introduced…

Statistical Mechanics · Physics 2025-12-15 J. M. Alendouro Pinho , B. Amorim , Yuliy V. Bludov , J. M. Viana Parente Lopes

We investigate a Bose Einstein condensate held in a 1D optical lattice whose phase undergoes a fast oscillation using a statistical analysis. The averaged potential experienced by the atoms boils down to a periodic potential having the same…

We analyze the atomic dynamics in an ac driven periodic optical potential which is symmetric in both time and space. We experimentally demonstrate that in the presence of dissipation the symmetry is broken, and a current of atoms through…

Statistical Mechanics · Physics 2009-11-11 R. Gommers , S. Bergamini , F. Renzoni

A systematic procedure for deriving the master equation of a dissipative system is reported in the framework of stochastic description. For the Caldeira-Leggett model of the harmonic-oscillator bath, a detailed and elementary derivation of…

Quantum Physics · Physics 2015-05-30 Haifeng Li , Jiushu Shao , Shikuan Wang

We derive a quantum master equation to treat quantum systems interacting with multiple reservoirs. The formalism is used to investigate atomic transport across a variety of lattice configurations. We demonstrate how the behavior of an…

Quantum Physics · Physics 2015-05-19 R. A. Pepino , J. Cooper , D. Meiser , D. Z. Anderson , M. J. Holland

We investigate the time evolution of a Bose-Einstein condensate in a periodic optical potential. Using an effective mass formalism, we study the equation of motion for the envelope function modulating the Bloch states of the lattice…

Soft Condensed Matter · Physics 2009-11-07 H. Pu , L. O. Baksmaty , W. Zhang , N. P. Bigelow , P. Meystre

We present a master equation describing the interaction of light with dielectric objects of arbitrary sizes and shapes. The quantum motion of the object, the quantum nature of light, as well as scattering processes to all orders in…

Quantum Physics · Physics 2012-07-30 Anika C. Pflanzer , Oriol Romero-Isart , J. Ignacio Cirac