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We investigate the dynamical instability of Bose-Einstein condensates (BECs) with higher-order interactions immersed in an optical lattice with weak driving harmonic potential. For this, we compute both analytically and numerically a…

Pattern Formation and Solitons · Physics 2015-06-19 E. Wamba , S. Sabari , K. Porsezian , A. Mohamadou , T. C. Kofané

Close to the demixing transition, the degree of freedom associated to relative density fluctuations of a two-component Bose-Einstein condensate is described by a non-dissipative Landau-Lifshitz equation. In the quasi one-dimensional weakly…

Quantum Gases · Physics 2023-06-13 Sebastiano Bresolin , Arko Roy , Gabriele Ferrari , Alessio Recati , Nicolas Pavloff

We consider a macroscopic two-sate system based on persistent current states of a Bose-Einstein condensate (BEC) of interacting neutral atoms confined in a ring with a weak Josephson link. We demonstrate that macroscopic superpositions of…

Quantum Gases · Physics 2012-03-20 Dmitry Solenov , Dmitry Mozyrsky

The dynamics of a two-dimensional Bose-Einstein condensate mixture, loaded into a dual-core trap, when beyond-mean-field effects are taken into account, are considered. The effects of quantum fluctuations are described by the Lee-Huang-Yang…

Quantum Gases · Physics 2026-04-28 Sherzod R. Otajonov , Fatkhulla Kh. Abdullaev

We consider a quasi-one-dimensional two-component Bose-Einstein condensate subject to a coherent coupling between its components, such as realized in spin-orbit coupled condensates. We study how nonlinearity modifies the dynamics of the…

Quantum Gases · Physics 2016-04-20 T. Congy , A. Kamchatnov , N. Pavloff

Bogoliubov-de Gennes (BdG) equations and the excitation spectrum of a two-component Bose-Einstein condensate (BEC) are derived with an arbitrary interaction between bosons, including long-range and short range forces. The nonconverting BEC…

Soft Condensed Matter · Physics 2007-05-23 A. S. Alexandrov , V. V. Kabanov

The collapsing dynamics of a trapped Bose-Einstein condensate (BEC) with attractive interaction are revealed to exhibit two previously unknown phenomena. During the collapse, BEC undergoes a series of rapid implosions that occur {\it…

Condensed Matter · Physics 2009-10-31 Hiroki Saito , Masahito Ueda

The phenomena of AC oscillation generated by a DC drive, such as the famous Josephson AC effect in superconductors and Bloch oscillation in solid physics, are of great interest in physics. Here we report another example of such…

Quantum Gases · Physics 2020-05-05 L-C Zhao , W. Wang , Q. Tang , Z-Y Yang , W-L Yang , J Liu

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,…

We examine bosons hopping on a one-dimensional lattice in the presence of a random potential at zero temperature. Bogoliubov excitations of the Bose-Einstein condensate formed under such conditions are localized, with the localization…

Disordered Systems and Neural Networks · Physics 2008-11-14 V. Gurarie , G. Refael , J. T. Chalker

It was recently found that excited states of semi-vortex and mixed-mode solitons are unstable in spin-orbit-coupled Bose-Einstein condensates (BECs) with contact interactions. We demonstrate a possibility to stabilize such excited states in…

Quantum Gases · Physics 2018-02-07 Chunqing Huang , Yuebo Ye , Shimei Liu , Hexiang He , Wei Pang , B. A. Malomed , Yongyao Li

We analyze the spontaneous symmetry breaking (SSB) induced by one specific component of a linearly coupled binary Bose-Einstein condensate (BEC). The model is based on linearly coupled Schr\"odinger equations with cubic nonlinearity and…

Quantum Gases · Physics 2022-02-15 Mateus C. P. dos Santos , Wesley B. Cardoso

The paper presents a survey of some dynamical transitions in nonequilibrium trapped Bose-condensed systems subject to the action of alternating fields. Nonequilibrium states of trapped systems can be realized in two ways, resonant and…

Quantum Gases · Physics 2025-09-16 V. I. Yukalov , E. P. Yukalova

We study the ground-state and low-lying metastable phases of repulsive binary Bose-Einstein condensates confined in twisted, spin-dependent periodic optical lattices. For balanced mixtures, weak intercomponent interactions yield a fourfold…

Quantum Gases · Physics 2026-02-16 Abid Ali , Pei Zhang , Hiroki Saito , Yong-Chang Zhang

Bose-Einstein condensates (BECs) in periodic potentials generate interesting physics on the instabilities of Bloch states. The lowest-energy Bloch states of BECs in pure nonlinear lattices are dynamically and Landau unstable, which breaks…

Quantum Gases · Physics 2023-05-01 Jun Hong , Chenhui Wang , Yongping Zhang

Dynamics of the repulsive Bose-Einstein condensate (BEC) in a double-well trap is explored within the 3D time-dependent Gross-Pitaevskii equation. The model avoids numerous common approximations (two-mode treatment, time-space…

Quantum Gases · Physics 2014-02-04 V. O. Nesterenko , A. N. Novikov , E. Suraud

We consider the fate of Bose-Einstein condensation (BEC) with time-reversal symmetry and inversion symmetry in a spin-orbit coupled bilayer system. When these two symmetry operators commute, all the single particle bands are exactly…

Quantum Gases · Physics 2018-01-31 Jia-Ming Cheng , Xiang-Fa Zhou , Zheng-Wei Zhou , Guang-Can Guo , Ming Gong

Since their prediction by Einstein at the dawn of quantum mechanics, Bose-Einstein condensates (BECs), owing to their property to show quantum phenomena on macroscopic scales, are drawing increasing attention across various fields in…

An overview on the physics of spinor and dipolar Bose-Einstein condensates (BECs) is given. Mean-field ground states, Bogoliubov spectra, and many-body ground and excited states of spinor BECs are discussed. Properties of spin-polarized…

Quantum Gases · Physics 2012-08-17 Yuki Kawaguchi , Masahito Ueda

We study the non-equilibrium evolution of the phase coherence of a Bose-Einstein condensate (BEC) in a one dimensional optical lattice, as the lattice is suddenly quenched from an insulating to a superfluid state. We observe slowly damped…

Other Condensed Matter · Physics 2009-11-11 A. K. Tuchman , C. Orzel , A. Polkovnikov , M. A. Kasevich
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