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The review presents the methods of generation of nonlinear coherent excitations in strongly nonequilibrium Bose-condensed systems of trapped atoms and their properties. Non-ground-state Bose-Einstein condensates are represented by nonlinear…

Quantum Gases · Physics 2023-11-02 V. I. Yukalov , E. P. Yukalova , V. S. Bagnato

With phase space analysis approach, we investigate thoroughly the self-trapping phenomenon for two weakly coupled Bose-Einstein condensates (BEC) in a symmetric double-well potential. We identify two kinds of self-trapping by their…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Guan-Fang Wang , Li-Bin Fu , Jie Liu

The combination of multi-component Bose-Einstein condensates (BECs) and phase imprinting techniques provides an ideal platform for exploring nonlinear dynamics and investigating the quantum transport properties of superfluids. In this…

Quantum Gases · Physics 2023-07-28 Jianchong Xing , Wenkai Bai , Bo Xiong , Jun-Hui Zheng , Tao Yang

We present a series of experimental investigations on binary mixtures of Bose-Einstein condensates. Our focus lies on the regime where the interaction parameters place the system at the threshold of miscibility. We demonstrate that the…

Quantum Gases · Physics 2025-12-09 Franco Rabec , Jérôme Beugnon , Jean Dalibard , Sylvain Nascimbene

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

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 consider an ultracold bosonic binary mixture confined in a one-dimensional double-well trap. The two bosonic components are assumed to be two hyperfine internal states of the same atom. We suppose that these two components are spin-orbit…

Quantum Gases · Physics 2014-06-17 M. A. Garcia-March , G. Mazzarella , L. Dell'Anna , B. Juliá-Díaz , L. Salasnich , A. Polls

An analytic operator solution of a generalized quantum mechanical Hamiltonian of two-mode Bose Einstein condensates (BECs) is obtained and the same is used to investigate the nonclassical properties of the modes present in the system.…

Quantum Physics · Physics 2022-06-10 Sandip Kumar Giri , Biswajit Sen , C H Raymond Ooi , Anirban Pathak

We study the existence and stability of localized states in the two-dimensional (2D) nonlinear Schrodinger (NLS)/Gross-Pitaevskii equation with a symmetric four-well potential. Using a fourmode approximation, we are able to trace the…

Pattern Formation and Solitons · Physics 2015-05-13 C. Wang , G. Theocharis , P. G. Kevrekidis , N. Whitaker , K. J. H. Law , D. J. Frantzeskakis , B. A. Malomed

We present an analytical model for the theoretical analysis of spin dynamics and spontaneous symmetry breaking in a spinor Bose-Einstein condensate (BEC). This allows for an excellent intuitive understanding of the processes and provides…

Quantum Physics · Physics 2014-01-14 M. Scherer , B. Lücke , O. Topic , G. Gebreyesus , F. Deuretzbacher , W. Ertmer , L. Santos , C. Klempt , J. J. Arlt

Motivated by recent experiment on Bloch Oscillation of Bose-Einstein condensates (BEC) in accelerated optical lattices, we consider the Josephson dynamics of a BEC in an accelerated double well potential. We show that acceleration…

Statistical Mechanics · Physics 2007-05-23 Aranya B Bhattacherjee

The Josephson effect can be observed in a Bose-Einstein condensate in a double-well potential, which is attributed to the tunneling of bosons between two wells. We propose a multi-mode theory to investigate the dynamics of local excitations…

Quantum Gases · Physics 2025-06-19 Yaojun Ying , Haoyu Wang , Ming Zhang , Haibin Li

An ultracold gas of coupled two-component atoms in an optical field is studied. Due to the internal two-level structure of the atoms, three competing energy terms exist; atomic kinetic, atomic internal, and atom-atom interaction energies. A…

Other Condensed Matter · Physics 2009-09-11 Jonas Larson , Jani-Petri Martikainen

We consider Bose-Einstein condensate (BEC) subject to the action of spin-orbit-coupling (SOC) periodically modulated in the radial direction. In contrast to the commonly known principle that periodic potentials do not create bound states,…

Quantum Gases · Physics 2023-09-15 Chunyan Li , Vladimir V. Konotop , Boris A. Malomed , Yaroslav V. Kartashov

We present a study of binary mixtures of Bose-Einstein condensates confined in a double-well potential within the framework of the mean field Gross-Pitaevskii equation. We reexamine both the single component and the binary mixture cases for…

Quantum Gases · Physics 2011-03-10 M. Mele-Messeguer , B. Julia-Diaz , M. Guilleumas , A. Polls , A. Sanpera

We model the nonlinear behaviour of spin-1 Bose-Einstein condensates (BECs) with repulsive spin-independent interactions and either ferromagnetic or anti-ferromagnetic (polar) spin-dependent interactions, loaded into a one-dimensional…

Other Condensed Matter · Physics 2015-06-25 Beata J. Dabrowska-Wuester , Elena A. Ostrovskaya , Tristram J. Alexander , Yuri S. Kivshar

In this paper we consider a two component system of coupled non linear Schr\"odinger equations modeling the phase separation in the binary mixture of Bose-Einstein condensates and other related problems. Assuming the existence of solutions…

Analysis of PDEs · Mathematics 2022-11-24 Michał Kowalczyk , Angela Pistoia , Giusi Vaira

We study the spontaneous symmetry breaking of dipolar Bose--Einstein condensates trapped in stacks of two-well systems, which may be effectively built as one-dimensional trapping lattices sliced by a repelling laser sheet. If the potential…

Pattern Formation and Solitons · Physics 2017-08-04 Yongyao Li , Zhiwei Fan , Zhihuan Luo , Yan Liu , Hexiang He , Jiantao Lü , Jianing Xie , Chunqing Huang , Haishu Tan

We consider the properties of stationary states and the dynamics of Bose-Einstein condensates (BECs) in a double-well (DW) potential with pair tunneling by using a full quantum-mechanical treatment. Furthermore, we study the quantum quench…

Quantum Gases · Physics 2015-12-07 Linghua Wen , Qizhong Zhu , Tianfu Xu , Xili Jing , Chengshi Liu

Dipolar Bose-Einstein condensates in an array of double-well potentials realize an effective transverse Ising model with peculiar inter-layer interactions, that may result under proper conditions in an anomalous first-order…

Quantum Gases · Physics 2017-10-11 Yongyao Li , Wei Pang , Jun Xu , Chaohong Lee , Boris A. Malomed , Luis Santos