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The ability to support metastable current-carrying states in multiply-connected settings is one of the prime signatures of superfluidity. Such states are investigated theoretically for the case of trapped Bose condensed alkali gases,…

Statistical Mechanics · Physics 2009-10-30 Erich J. Mueller , Paul M. Goldbart , Yuli Lyanda-Geller

The dominance of interactions over kinetic energy lies at the heart of strongly correlated quantum matter, from fractional quantum Hall liquids, to atoms in optical lattices and twisted bilayer graphene. Crystalline phases often compete…

We investigate the dynamics of a Bose-Einstein condensate in a one-dimensional ring-shaped lattice with the Peierls phase and site-dependent modulations, where the condensate is confined in a single deep trap and the interparticle…

Quantum Gases · Physics 2025-01-08 L. Q. Lai

We analyze effects of a random magnetic potential in a microfabricated waveguide for ultra-cold atoms. We find that the shape and position fluctuations of a current carrying wire induce strongly disordered potential that is quasiperiodic…

Soft Condensed Matter · Physics 2009-11-10 Daw-Wei Wang , Mikhail D. Lukin , Eugene Demler

We discuss Bose-Einstein condensation in a trapped gas of bosonic particles interacting dominantly via dipole-dipole forces. We find that in this case the mean-field interparticle interaction and, hence, the stability diagram are governed…

Condensed Matter · Physics 2009-10-31 L. Santos , G. V. Shlyapnikov , P. Zoller , M. Lewenstein

In this paper the macroscopic quantum states of Bose-Einstein condensates in optical lattices is studied by solving the periodic Gross-Pitaevskii equation in one-dimensional geometry. It is shown that an exact solution seen to be a…

Other Condensed Matter · Physics 2015-06-25 G. -P. Zheng , J. -Q. Liang

The realization of Bose-Einstein condensation in ultracold trapped gases has led to a revival of interest in that fascinating quantum phenomenon. This experimental achievement necessitated both extremely low temperatures and sufficiently…

Quantum Gases · Physics 2021-02-22 Mihály Máté , Örs Legeza , Rolf Schilling , Mason Yousif , Christian Schilling

We predict a dynamical resonant effect, which is driven by externally applied linear and quadratic Zeeman fields, in a spin-orbit-coupled spin-1 Bose-Einstein condensate. The Bose-Einstein condensate is assumed to be initialized in some…

Quantum Gases · Physics 2021-01-04 Jingtao Fan , Gang Chen , Suotang Jia

We prove two equilibrium properties of a system of interacting atoms in three or higher dimensional continuous space. (i) If the particles interact via pair potentials of a nonnegative Fourier transform, their self-organization into…

Mathematical Physics · Physics 2023-05-31 Andras Suto

Precise and flexible manipulation of the motional state of ultracold atoms is a fundamental enabling technology for diverse applications such as quantum sensing and quantum computation. In this paper we propose a general, simple and highly…

Quantum Gases · Physics 2026-01-30 Renzo Testa , Donatella Cassettari

We examine the problem of stability of persistent currents in a mixture of two Bose gases trapped in an annular potential. We evaluate the critical coupling for metastability in the transition from quasi-one to two-dimensional motion. We…

Quantum Gases · Physics 2015-05-19 S. Bargi , F. Malet , G. M. Kavoulakis , S. M. Reimann

The properties of systems with Bose-Einstein condensate in external time-independent random potentials are investigated in the frame of a self-consistent stochastic mean-field approximation. General considerations are presented, which are…

Statistical Mechanics · Physics 2009-11-11 V. I. Yukalov , R. Graham

We analyze the decay of ultracold atoms from an optical lattice with loss form a single lattice site. If the initial state is dynamically stable a suitable amount of dissipation can stabilize a Bose-Einstein condensate, such that it remains…

Quantum Gases · Physics 2013-07-08 Georgios Kordas , Sandro Wimberger , Dirk Witthaut

Persistent currents in Bose condensates with a scalar order parameter are stabilized by the topology of the order parameter manifold. In condensates with multicomponent order parameters it is topologically possible for supercurrents to…

Quantum Gases · Physics 2020-03-16 Austen Lamacraft

The dynamics of a coupled Bose-Einstein condensate involving trapped atoms in two quantum states is studied using the time-dependent Gross-Pitaevskii equation including an interaction which can transform atoms from one state to the other.…

Soft Condensed Matter · Physics 2009-11-07 Sadhan K. Adhikari

The interplay between disorder and interactions is a "leit-motiv" of condensed matter physics, since it constitutes the driving mechanism of the metal-insulator transition. Bose-Einstein condensates in optical potentials are proving to be…

Disordered Systems and Neural Networks · Physics 2008-04-21 Leonardo Fallani , Chiara Fort , Massimo Inguscio

We consider a Bose-Einstein condensate subject to a rotating harmonic potential, in connection with recent experiments leading to the formation of vortices. We use the classical hydrodynamic approximation to the non-linear Schr\"odinger…

Soft Condensed Matter · Physics 2016-08-31 Subhasis Sinha , Yvan Castin

A periodically kicked ring of a Bose-Einstein condensate is considered as a nonlinear generalization of the quantum kicked rotor, where the nonlinearity stems from the mean field interactions between the condensed atoms. For weak…

Other Condensed Matter · Physics 2009-11-11 Jie Liu , Chuanwei Zhang , Mark G. Raizen , Qian Niu

We investigate the effect of a current nonlinearity on the evolution of a trapped atomic Bose-Einstein condensate. We have implemented techniques from the field of nonlinear optics to provide new insights into the irregular dynamics…

Quantum Gases · Physics 2018-02-14 Mohammed F. Saleh , Patrik Öhberg

We investigate the dynamics of a Bose-Einstein condensate of magnetic atoms in which the dipoles are rotated by an external magnetic field. The time-averaged dipole-dipole interaction between the atoms is effectively tuned by this rotation,…

Quantum Gases · Physics 2020-04-14 D. Baillie , P. B. Blakie