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We investigate the scattering of an electron by phonons in a small structure between two one-dimensional tight-binding leads. This model mimics the quantum electron transport through atomic wires or molecular junctions coupled to metallic…

Strongly Correlated Electrons · Physics 2017-02-27 C. Brockt , E. Jeckelmann

The condensates of cold atoms at zero temperature in the tunable binary Bose-Einstein condensate system are studied with the Rabi transition between atomic hyperfine states where the system can be represented by a coupled two-field model of…

High Energy Physics - Theory · Physics 2022-08-09 Wei-Can Syu , Da-Shin Lee , Chi-Yong Lin

We consider periodic waves in miscible two-component Bose-Einstein condensates with repulsive nonlinear interactions constants. Exact one-phase solution is found for the case when all these constants are equal to each other (i.e., for…

Quantum Gases · Physics 2013-10-08 A. M. Kamchatnov

To show a mechanism leading to the breakdown of a particle picture for the multi-component Bose-Einstein condensates(BECs) with a harmonic trap in high dimensions, we investigate the corresponding 2-$d$ nonlinear Schr{\"o}dinger equation…

Other Condensed Matter · Physics 2009-11-11 Hisatsugu Yamasaki , Yuhei Natsume , Katsuhiro Nakamura

We propose a method for generating shock waves in Bose-Einstein condensates by rapidly increasing the value of the nonlinear coefficient using Feshbach resonances. We show that in a cigar-shaped condensate there exist primary (transverse)…

Soft Condensed Matter · Physics 2009-11-10 Victor M. Perez-Garcia , Vladimir V. Konotop , Valeryi A. Brazhnyi

The escape of a Brownian particle over a dichotomously fluctuating barrier is investigated for various shapes of the barrier. The problem of resonant activation is revisited with the attention on the effect of the barrier shape on optimal…

Statistical Mechanics · Physics 2009-11-07 Bartlomiej Dybiec , Ewa Gudowska-Nowak

We examine the phase diagram of a Bose-Einstein condensate of atoms, interacting with an attractive pseudopotential, in a quadratic-plus-quartic potential trap rotating at a given rate. Investigating the behavior of the gas as a function of…

Statistical Mechanics · Physics 2009-11-10 G. M. Kavoulakis , A. D. Jackson , Gordon Baym

We have used a microfabricated atom chip to split a single Bose-Einstein condensate of sodium atoms into two spatially separated condensates. Dynamical splitting was achieved by deforming the trap along the tightly confining direction into…

Other Condensed Matter · Physics 2009-11-11 Y. Shin , C. Sanner , G. -B. Jo , T. A. Pasquini , M. Saba , W. Ketterle , D. E. Pritchard , M. Vengalattore , M. Prentiss

Gross-Pitaevskii equation for Bose-Einstein condensate confined in elongated cigar-shaped trap is reduced to an effective system of nonlinear equations depending on only one space coordinate along the trap axis. The radial distribution of…

Soft Condensed Matter · Physics 2007-05-23 A. M. Kamchatnov , V. S. Shchesnovich

A scissors mode of a rotating Bose-Einstein condensate is investigated both theoretically and experimentally. The condensate is confined in an axi-symmetric harmonic trap, superimposed with a small rotating deformation. For angular…

Statistical Mechanics · Physics 2009-11-07 Marco Cozzini , Sandro Stringari , Vincent Bretin , Peter Rosenbusch , Jean Dalibard

The zero-temperature system of two dilute overlapping Bose-Einstein condensates is unstable against long wavelength excitations if the interaction strength between the distinguishable bosons exceeds the geometric mean of the like-boson…

Condensed Matter · Physics 2009-10-30 Eddy Timmermans

We consider a Bose-Einstein condensate, which is confined in a very tight toroidal/annular trap, in the presence of a potential, which breaks the axial symmetry of the Hamiltonian. We investigate the stationary states of the condensate,…

A previously developed approach for the numerical treatment of two particles that are confined in a finite optical-lattice potential and interact via an arbitrary isotropic interaction potential has been extended to incorporate an…

Quantum Gases · Physics 2014-12-10 Bruno Schulz , Simon Sala , Alejandro Saenz

We investigate by numerical simulations the pattern formation after an oscillating attractive-repulsive obstacle inserted into the flow of a Bose-Einstein condensate. For slow oscillations we observe a complex emission of vortex dipoles.…

Quantum Gases · Physics 2013-04-05 Eduardo G. Khamis , Arnaldo Gammal

We investigate spatiotemporal vortex rings with phase dislocation both in space and time. It is demonstrated that these structures naturally appear as a periodical in time edge phase dislocation at the low-density region of a perturbed…

Quantum Gases · Physics 2019-03-06 O. G. Chelpanova , Y. I. Kuriatnikov , S. Vilchinskii , A. I. Yakimenko

A Bose-Einstein condensate of atoms with attractive interactions exhibits growth and collapse cycles, when it is fed by a thermal cloud. Recently this phenomenon has been directly observed in a trapped Li-7 gas. We offer a quantitative…

Soft Condensed Matter · Physics 2007-05-23 Kerson Huang

We theoretically study the entanglement between phonons spontaneously generated in atomic Bose-Einstein condensates by analog Hawking and dynamical Casimir processes. The quantum evolution of the system is numerically modeled by a truncated…

Quantum Gases · Physics 2014-10-06 Stefano Finazzi , Iacopo Carusotto

A trapped 87Rb Bose-Einstein condensate is initially put into a superposition of two internal states. Under the effect of gravity and by means of a second transition, we prepare two vertically displaced condensates in the same internal…

Soft Condensed Matter · Physics 2015-02-27 C. Fort , P. Maddaloni , F. Minardi , M. Modugno , M. Inguscio

We propose a protocol for creating moving, robust dispersive shock waves in interacting one-dimensional Bose fluids. The fluid is prepared in a moving state by phase imprinting and sent against the walls of a box trap. We demonstrate that…

Quantum Gases · Physics 2021-02-24 Romain Dubessy , Juan Polo , Hélène Perrin , Anna Minguzzi , Maxim Olshanii

We theoretically analyze the operating principles of a proposed matter-wave Sagnac interferometer utilizing Bose-Einstein condensate (BEC) phonon modes as an interference medium. Previous work found that the orbital angular momentum phonon…

Quantum Gases · Physics 2023-03-08 B. J. Mommers , M. W. J. Bromley