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Coupled nonlinear Schrodinger equations (CNLS) with an external elliptic function potential model a quasi one--dimensional interacting two-component Bose-Einstein condensate trapped in a standing light wave. New families of stationary…

Soft Condensed Matter · Physics 2007-05-23 N. A. Kostov , V. Z. Enol'skii , V. S. Gerdjikov , V. V. Konotop , M. Salerno

We present studies of the time-evolution of a two-component system of Bose-Einstein condensates (BEC) in the |F=1, mf=-1> and |2,1> spin states of Rb-87. The two condensates are created with a well-defined relative phase and complete…

Condensed Matter · Physics 2009-10-31 D. S. Hall , M. R. Matthews , J. R. Ensher , C. E. Wieman , E. A. Cornell

Using a (1+2)-dimensional boson-vortex duality between non-linear electrodynamics and a two-component compressible Bose-Einstein condensate (BEC) with spin-orbit (SO) coupling, we obtain generalised versions of the hydrodynamic continuity…

Quantum Gases · Physics 2017-09-13 L. A. Toikka

We investigate, both experimentally and theoretically, the quench dynamics of antiferromagnetic spinor Bose-Einstein condensates in the vicinity of a zero temperature quantum phase transition at zero quadratic Zeeman shift q. Both the rate…

Quantum Gases · Physics 2014-10-14 A. Vinit , C. Raman

We study analytically and numerically the generation of shock waves in a quasi one-dimensional Bose-Einstein condensate (BEC) made of dilute and ultracold alkali-metal atoms. For the BEC we use an equation of state based on a 1D…

Pattern Formation and Solitons · Physics 2016-03-30 Luca Salasnich

This paper investigates the formation of Spin Faraday waves in spin-orbit-coupled Bose-Einstein condensate under the stripe phase and explores the dispersion relation under three different phases. We discover that the SFW exhibit temporal…

Quantum Gases · Physics 2025-12-17 Hongguang Liang , Meiling Wang , Juan Wang , Yan Li

An interesting proposal for detecting gravitational waves involves quantum metrology of Bose-Einstein condensates (BECs). We consider a forced modulation of the BEC trap, whose frequency matches that of an incoming continuous gravitational…

General Relativity and Quantum Cosmology · Physics 2022-08-24 Matthew P. G. Robbins , Niayesh Afshordi , Alan O. Jamison , Robert B. Mann

We find a set of exact solutions of coherent bright solitons in the quasi-one-dimensional (1D) Bose-Einstein condensate (BEC) trapped in a harmonic potential, by using a Gaussian laser well (barrier) with oscillating position to balance the…

Quantum Physics · Physics 2008-11-30 Wenhua Hai , Qiongtao Xie , Qianquan Zhu

We analyze the structure of spin-1 Bose-Einstein condensates in the presence of a homogenous magnetic field. We classify the homogenous stationary states and study their existence, bifurcations, and energy spectra. We reveal that the phase…

Quantum Gases · Physics 2009-09-01 Michal Matuszewski , Tristram J. Alexander , Yuri S. Kivshar

We analyse systematically, from the viewpoint of the nonlinear physics of solitary waves, the effect of the spatial dimension (D = 1,2,3) on the structure and stability of the Bose-Einstein condensates (BECs) trapped in an external…

Condensed Matter · Physics 2007-05-23 Yuri S. Kivshar , Tristram J. Alexander

We investigate the dynamics of the localized nonlinear matter wave in spin-1 Bose-Einstein condensates with trapping potentials and nonlinearities dependent on time and space. We solve the three coupled Gross-Pitaevskii equation by…

Pattern Formation and Solitons · Physics 2017-02-16 Yu-Qin Yao , Wei Han , Ji Li , Hui-lan Wu , Wu-Ming Liu

We numerically investigate a particular type of spin solitons inside a trapped atomic spin-1 Bose-Einstein condensate (BEC) with ferromagnetic interactions. Within the mean field theory approximation, our study of the solitonic dynamics…

Other Condensed Matter · Physics 2009-11-11 Wenxian Zhang , Ö. E. Müstecaplıoğlu , L. You

It was recently found that, under the action of the spin-orbit coupling (SOC) and Zeeman splitting (ZS), binary BEC with intrinsic cubic nonlinearity supports families of gap solitons, provided that the kinetic energy is negligible in…

Quantum Gases · Physics 2020-01-15 Zhiwei Fan , Zhaopin Chen , Yongyao Li , Boris A. Malomed

It is demonstrated that the well-known Smale-horseshoe chaos exists in the time evolution of the one-dimensional Bose-Einstein condensate (BEC) driven by the time-periodic harmonic or inverted-harmonic potential. A formally exact solution…

Other Condensed Matter · Physics 2009-11-13 Wenhua Hai , Qianquan Zhu , Shiguang Rong

We present a novel experimental approach to Bose-Einstein condensation by increasing the particle number of the system at almost constant temperature. In particular the emergence of a new condensate is observed in multi-component F=1 spinor…

Soft Condensed Matter · Physics 2009-11-10 M. Erhard , H. Schmaljohann , J. Kronjäger , K. Bongs , K. Sengstock

We investigate and model the behaviour of split spin-squeezed Bose-Einstein condensates (BECs) system. In such a system, a spin-polarized BEC is first squeezed using a $ (S^z)^2 $ interaction, then are split into two separate clouds. After…

Quantum Physics · Physics 2019-10-02 Yumang Jing , Matteo Fadel , Valentin Ivannikov , Tim Byrnes

The Bogoliubov model for weakly interacting Bose gas is extended to Bose-Einstein condensation (BEC) of spin-S atoms in a magnetic field. Equation for the vectorial order parameter valid at temperature $T\to 0$ is derived and its particular…

Statistical Mechanics · Physics 2007-06-26 A. S. Peletminskii , S. V. Peletminskii , Yu. V. Slyusarenko

We investigate families of soliton solutions in a spin-orbit coupled Bose-Einstein condensate embedded in an optical lattice, which bifurcate from the nearly flat lowest band. Unlike the conventional gap solitons the obtained solutions have…

Quantum Gases · Physics 2024-11-06 Chenhui Wang , Yongping Zhang , V. V. Konotop

Stationary solitary waves are studied in an array of $M$ linearly-coupled one-dimensional Bose-Einstein condensates (BECs) by means of the Gross-Pitaevskii equation. Solitary wave solutions with the character of overlapping dark solitons,…

Quantum Gases · Physics 2018-11-07 Christian Baals , Herwig Ott , Joachim Brand , Antonio Muñoz Mateo

We consider the possible existence of gravitationally bound general relativistic strings consisting of Bose-Einstein condensate (BEC) matter which is described, in the Newtonian limit, by the zero temperature time-dependent nonlinear…

General Relativity and Quantum Cosmology · Physics 2015-09-29 Tiberiu Harko , Matthew J. Lake
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