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We derive a non-equilibrium finite-temperature kinetic theory for a binary mixture of two interacting atomic Bose-Einstein condensates and use it to explore the degree of hydrodynamicity attainable in realistic experimental geometries.…

Quantum Gases · Physics 2015-12-08 M. J. Edmonds , K. L. Lee , N. P. Proukakis

We study multiple-period Bloch states of a Bose-Einstein condensate with spatially periodic interactomic interaction. Solving the Gross-Pitaevskii equation for the continuum model, and also using a simplified discrete version of it, we…

Quantum Gases · Physics 2016-07-07 Raka Dasgupta , B. Prasanna Venkatesh , Gentaro Watanabe

We construct rogue wave and breather solutions of a quasi-two-dimensional Gross-Pitaevskii equation with a time-dependent interatomic interaction and external trap. We show that the trapping potential and an arbitrary functional parameter…

Exactly Solvable and Integrable Systems · Physics 2016-07-15 K. Manikandan , M. Senthilvelan , R. A. Kraenkel

We consider the dynamics of $N$ interacting bosons initially forming a Bose-Einstein condensate. Due to an external trapping potential, the bosons are strongly confined in two dimensions, where the transverse extension of the trap is of…

Mathematical Physics · Physics 2019-12-09 Lea Boßmann , Stefan Teufel

Bose-Einstein condensates with an attractive 1/r interaction and with dipole-dipole interaction are investigated in the framework of the Gaussian variational ansatz introduced by S. Rau, J. Main, and G. Wunner [Phys. Rev. A, submitted]. We…

Quantum Gases · Physics 2010-08-17 Stefan Rau , Jörg Main , Holger Cartarius , Patrick Köberle , Günter Wunner

The role of repulsive interactions in statistical systems of Bose particles is investigated. Three different phenomenological frameworks are considered: a mean field model, an excluded volume model, and a model with a medium dependent…

High Energy Physics - Phenomenology · Physics 2020-09-16 Oleh Savchuk , Yehor Bondar , Oleksandr Stashko , Roman V. Poberezhnyuk , Volodymyr Vovchenko , Mark I. Gorenstein , Horst Stoecker

We investigate the emergence of three-dimensional behavior in a reduced-dimension Bose-Einstein condensate trapped by a highly anisotropic potential. We handle the problem analytically by performing a perturbative Schmidt decomposition of…

Quantum Physics · Physics 2015-05-28 Alexandre B. Tacla , Carlton M. Caves

The boundary of two mixed Bose-Einstein condensates interacting repulsively was considered in the case of spatial separation at zero temperature. Analytical expressions for density distribution of condensates were obtained by solving two…

Soft Condensed Matter · Physics 2012-05-28 R. A. Barankov

We report a numerical study of turbulence and Bose-Einstein condensation within the two-dimmensional Gross-Pitaevski model with repulsive interaction. In presence of weak forcing localized around some wave number in the Fourier space, we…

Chaotic Dynamics · Physics 2015-06-26 Sergey Nazarenko , Miguel Onorato

In this work, we consider the conditions for the existence of autosolitons, in trapped Bose-Einstein condensates with attractive atomic interactions. First, the variational approach is employed to estimate the stationary solutions for the…

Soft Condensed Matter · Physics 2009-10-31 Victo S. Filho , F. Kh. Abdullaev , A. Gammal , Lauro Tomio

We investigate the stability of vortices in two-dimensional Bose--Einstein condensates. In analogy with rotating spacetimes and with a careful account of boundary conditions, we show that the dynamical instability of multiply quantized…

Quantum Gases · Physics 2020-06-30 Luca Giacomelli , Iacopo Carusotto

We investigate the stability of vortices in two-dimensional Bose--Einstein condensates. In analogy with rotating spacetimes and with a careful account of boundary conditions, we show that the dynamical instability of multiply quantized…

Quantum Gases · Physics 2020-07-29 Luca Giacomelli , Iacopo Carusotto

The theoretical investigation of rotating Bose-Einstein condensates has mainly focused on the emergence of quantum vortex states and the condensed properties of such systems. In the present work, we concentrate on other facets by examining…

Quantum Gases · Physics 2023-03-14 Sunayana Dutta , Axel U. J. Lode , Ofir E. Alon

We present a complete analysis of the dynamics of a Bose-Einstein condensate trapped in a symmetric triple-well potential. Our classical analogue treatment, based on a time-dependent variational method using SU(3) coherent states, includes…

Quantum Physics · Physics 2011-04-01 T. F. Viscondi , K. Furuya

In this work we consider vortex lattices in rotating Bose-Einstein Condensates composed of two species of bosons having different masses. Previously [1] it was claimed that the vortices of the two species form bound pairs and the two vortex…

Quantum Gases · Physics 2012-02-22 Ryan Barnett , Edward Chen , Gil Refael

A time-dependent Kohn-Sham (KS)-like equation for N bosons in a trap is generalized for the case of inelastic collisions. We derive adiabatic equations which are used to calculate the nonlinear dynamics of the Bose-Einstein condensate (BEC)…

Soft Condensed Matter · Physics 2009-11-10 Yeong E. Kim , Alexander L. Zubarev

Bose-Einstein condensates in a double-well potential contain the essential ingredients to study many-body systems within a rich classical phase-space that includes an unstable point and a separatrix. Employing a selfconsistent finite…

Quantum Physics · Physics 2025-02-28 D. J. Nader , E. Serrano-Ensástiga

We investigate the one-dimensional (1D) and two-dimensional (2D)reduction of a quantum field theory starting from the three-dimensional (3D) many-body Hamiltonian of interacting bosons with spin-orbit (SO) and Rabi couplings. We obtain the…

Quantum Gases · Physics 2018-01-17 Emerson Chiquillo

Most of the work done in the field of Bose-Einstein condensates with balanced gain and loss has been performed in the mean-field approximation using the PT-symmetric Gross-Pitaevskii equation. In this work we study the many-particle…

Quantum Physics · Physics 2016-11-09 Dennis Dast , Daniel Haag , Holger Cartarius , Jörg Main , Günter Wunner

The coherent flow of a Bose-Einstein condensate through a quantum dot in a magnetic waveguide is studied. By the numerical integration of the time-dependent Gross-Pitaevskii equation in presence of a source term, we simulate the propagation…

Other Condensed Matter · Physics 2009-11-10 Tobias Paul , Klaus Richter , Peter Schlagheck