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The modulational instability of spatially uniform states in the nonlinear Schr\"odinger equation is examined in the presence of higher-order dissipation. The study is motivated by results on the effects of three-body recombination in…

Soft Condensed Matter · Physics 2015-06-24 Z. Rapti , P. G. Kevrekidis , D. J. Frantzeskakis , B. A. Malomed

We study the evolution of a collisionally inhomogeneous matter wave in a spatial gradient of the interaction strength. Starting with a Bose-Einstein condensate with weak repulsive interactions in quasi-one-dimensional geometry, we monitor…

We investigate the phase coherence of a trapped Bose-Einstein condensate that undergoes a dynamical superfluid-insulator transition in the presence of a one-dimensional optical lattice. We study the evolution of the condensate after a…

Soft Condensed Matter · Physics 2009-11-10 F. Nesi , M. Modugno

We study dynamics of a two-component Bose-Einstein condensate where the two components are coupled via an optical lattice. In particular, we focus on the dynamics as one drives the system through a critical point of a first order phase…

Quantum Gases · Physics 2015-05-14 Anssi Collin , Jani-Petri Martikainen , Jonas Larson

We address the possibility of realizing Bose-Einstein condensation as a first-order phase transition by admixture of particles of different species. To this aim we perform a comprehensive analysis of phase diagrams of two-component mixtures…

Quantum Gases · Physics 2024-10-10 Pawel Jakubczyk , Krzysztof Myśliwy , Marek Napiórkowski

Using magnetically trapped atomic hydrogen as an example, we investigate the prospects of achieving Bose-Einstein condensation in a dilute Bose gas. We show that, if the gas is quenched sufficiently far into the critical region of the phase…

Condensed Matter · Physics 2007-05-23 H. T. C. Stoof

The thermodynamics of the interacting system of relativistic particles and antiparticles in the presence of a Bose-Einstein condensate was investigated within the framework of the mean-field model. It is assumed that the total isospin…

Nuclear Theory · Physics 2025-06-30 D. Anchishkin , V. Gnatovskyy , D. Zhuravel , I. Mishustin , H. Stoecker

We investigate the effects of spatial curvature for an atomic Bose-Einstein condensate confined in an elliptical waveguide. The system is well described by an effective 1D Gross-Pitaevskii equation with a quantum-curvature potential, which…

Quantum Gases · Physics 2022-03-23 L. Salasnich

We study the stationary and dynamical properties of three-dimensional trapped Bose-Einstein condensates with attractive interactions subjected to a random potential. To this end, a variational method is applied to solve the underlying…

Quantum Gases · Physics 2024-11-27 Madjda Kamel , Abdelaali Boudjemaa

We study the three-dimensional atomic Bose gas using renormalization group techniques. Using our knowledge of the microscopic details of the interatomic interaction, we determine the correct initial values of our renormalization group…

Condensed Matter · Physics 2009-10-28 M. Bijlsma , H. T. C. Stoof

The condensate number distribution during the transition of a dilute, weakly interacting gas of N=200 bosonic atoms into a Bose-Einstein condensate is modeled within number conserving master equation theory of Bose-Einstein condensation.…

Quantum Physics · Physics 2012-12-27 Alexej Schelle

We report on the observation of the phase dynamics of interacting one-dimensional ultracold bosonic gases with two internal degrees of freedom. By controlling the non-linear atomic interactions close to a Feshbach resonance we are able to…

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

The phase transition to a Bose-Einstein condensate is unusual in that it is not necessarily driven by inter-particle interactions but can occur in an ideal gas as a result of a purely statistical saturation of excited states. However,…

Quantum Gases · Physics 2012-03-12 Robert P. Smith , Zoran Hadzibabic

We study the dynamics of two interacting Bose-Einstein condensates, by numerically solving two coupled Gross-Pitaevskii equations at zero temperature. We consider the case of a sudden transfer of atoms between two trapped states with…

Condensed Matter · Physics 2009-10-31 M. Modugno , F. Dalfovo , C. Fort , P. Maddaloni , F. Minardi

We address the dynamics induced by collective atomic recoil in a Bose-Einstein condensate in presence of radiation losses and atomic decoherence. In particular, we focus on the linear regime of the lasing mechanism, and analyze the effects…

Quantum Physics · Physics 2009-11-10 Mary M. Cola , Matteo G. A. Paris , Nicola Piovella

We study the time-evolution of initially trapped Bose-Einstein condensates in the Gross-Pitaevskii regime. Under a physically motivated assumption on the energy of the initial data, we show that condensation is preserved by the many-body…

Mathematical Physics · Physics 2019-03-13 Christian Brennecke , Benjamin Schlein

The stability and chaotic behaviors of Bose-Einstein condensates with two- and three-atom interactions in optical lattices are discussed with analytical and numerical methods. It is found that the steady-state relative population appears…

Quantum Gases · Physics 2015-05-13 Yan Chen , Ke-Zhi Zhang , Yong Chen

Using the time-dependent mean-field Gross-Pitaevskii equation we study the dynamics of small repulsive Bose-Einstein condensed vortex states of ^{85}Rb atoms in a cylindrical trap with low angular momentum hbar L per atom (L <= 6), when the…

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

We show that a gas-to-liquid phase transition at zero temperature may occur in a coherent gas of bosons in the presence of competing nonlinear effects. This situation can take place both in atomic systems like Bose-Einstein Condensates in…

Pattern Formation and Solitons · Physics 2015-05-13 David Novoa , Humberto Michinel , Daniele Tommasini , María I. Rodas-Verde