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We investigate application of the nonlinearity management (NM, i.e., periodic variation of the strength of the inter-component repulsion) to the miscibility-immiscibility (MIM) transition across the critical point of a two-component BEC,…

Quantum Gases · Physics 2025-08-12 B. B. Baizakov , B. A. Malomed , M. Salerno

For the observation of Bose-Einstein condensation, excitons in cuprous oxide are regarded as promising candidates due to their large binding energy and long lifetime. High particle densities may be achieved by entrapment in a stress induced…

Quantum Gases · Physics 2015-05-20 Siegfried Sobkowiak , Dirk Semkat , Heinrich Stolz , Thomas Koch , Holger Fehske

In the framework of coupled 1D Gross-Pitaevskii equations, we explore the dynamics of a binary Bose-Einstein condensate where the intra-component interaction is repulsive, while the inter-component one is attractive. The existence regimes…

Quantum Gases · Physics 2023-01-31 K. K. Ismailov , B. B. Baizakov , F. Kh. Abdullaev , M. Salerno

Two-species hard-core bosons trapped in a three-dimensional isotropic harmonic potential are studied with the path-integral quantum Monte Carlo simulation. The double condensates show two distinct structures depending on how the external…

Condensed Matter · Physics 2007-05-23 Hong Ma , Tao Pang

We study the existence of energy minimizers for a Bose-Einstein condensate with dipole-dipole interactions, tightly confined to a plane. The problem is critical in that the kinetic energy and the (partially attractive) interaction energy…

Mathematical Physics · Physics 2018-09-26 Arnaud Eychenne , Nicolas Rougerie

Considering a two-component Bose-Einstein condensate in a double-well potential, a method to generate a Bell state consisting of two spatially separated condensates is suggested. For repulsive interactions, the required tunnelling control…

Other Condensed Matter · Physics 2008-01-01 Niklas Teichmann , Christoph Weiss

In the study of trapped two-component Bose gases, a widely used dynamical protocol is to start from the ground state of a one-component condensate and then switch half the atoms into another hyperfine state. The slightly different…

Quantum Gases · Physics 2013-06-21 Ivana Vidanovic , N. J. van Druten , Masudul Haque

Two-component Bose condensates with repulsive interaction are stable when $g_{\rm \scriptscriptstyle 1} g_{\rm \scriptscriptstyle 2}<g_{\rm \scriptscriptstyle 12}^{2}$ is satisfied. By tuning the interactions, we show that the instability…

Quantum Gases · Physics 2013-02-20 Zhongbo Yan , Xiaosen Yang , Shaolong Wan

A Bose-Einstein condensate in a double-well potential features stationary solutions even for attractive contact interaction as long as the particle number and therefore the interaction strength do not exceed a certain limit. Introducing…

Quantum Physics · Physics 2015-03-31 Daniel Dizdarevic , Dennis Dast , Daniel Haag , Jörg Main , Holger Cartarius , Günter Wunner

We suggest an experiment to investigate the linear superposition of two spatially separated Bose-Einstein condensates. Due to the coherent combination of the two wave functions, the dynamic structure factor, measurable through inelastic…

Condensed Matter · Physics 2009-10-31 L. Pitaevskii , S. Stringari

We consider interacting Bose particles in an external potential. It is shown that a Bose-Einstein condensate is possible at finite temperatures that describes a supersolid in three dimensions (3D) for a wide range of potentials in the…

Quantum Gases · Physics 2021-04-16 Moorad Alexanian , Vanik E. Mkrtchian

Through considering a two-component dipolar Bose-Einstein condensate, we investigate the influence of the angle between the polarization orientations of the two species on the ground states, and show that the miscibility between the two…

Quantum Gases · Physics 2024-05-22 Liang-Jun He , Bo Liu , Yong-Chang Zhang

For an antiferromagnetic spin-1 Bose-Einstein condensate under an applied uniform magnetic field, its ground state $(\psi_1,\psi_0,\psi_{-1})$ undergoes a phase transition from a two-component state ($\psi_0 \equiv 0$) to a three-component…

Mathematical Physics · Physics 2025-12-13 Liren Lin , I-Liang Chern

We study Bose-Einstein condensation phenomenon in a two-dimensional (2D) system of bosons subjected to an harmonic oscillator type confining potential. The interaction among the 2D bosons is described by a delta-function in configuration…

Statistical Mechanics · Physics 2009-10-31 M. Bayindir , B. Tanatar

We study the dynamics of three-dimensional weakly linked Bose-Einstein condensates using a multimode model with an effective interaction parameter. The system is confined by a ring-shaped four-well trapping potential. By constructing a…

Quantum Gases · Physics 2018-02-27 M. Nigro , P. Capuzzi , H. M. Cataldo , D. M. Jezek

We study the phase diagram of a mixture of Bose-Einstein condensate and a two-component Fermi gas. In particular, we identify the regime where the homogeneous system becomes unstable against phase separation. We show that, under proper…

Statistical Mechanics · Physics 2010-11-25 S. G. Bhongale , Han Pu

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

We study ground states of two-component condensates in a harmonic trap. We prove that in the strongly coupled and weakly interacting regime, the two components segregate while a symmetry breaking occurs. More precisely, we show that when…

Mathematical Physics · Physics 2012-02-07 Jimena Royo-Letelier

We develop a simple and general variational method to estimate the solutions of the Gross-Pitaevskii equations and obtain the corresponding density profiles for all spin states of a trapped spin-1 Bose-Einstein condensate. We further employ…

Quantum Gases · Physics 2026-03-26 Sahil Satapathy , Projjwal K. Kanjilal , A. Bhattacharyay

We consider the inner limit system describing the phase separation in two-component Bose-Einstein condensates linearized around the one-dimensional solution in an infinite strip with zero and periodic boundary conditions, and obtain optimal…

Analysis of PDEs · Mathematics 2025-06-30 Christos Sourdis
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