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We consider the Gross-Pitaevskii (GP) equation in the presence of periodic and quasiperiodic superlattices to study cigar-shaped Bose-Einstein condensates (BECs) in such potentials. We examine spatially extended wavefunctions in the form of…

Pattern Formation and Solitons · Physics 2009-11-10 Mason A. Porter , P. G. Kevrekidis

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

We propose to localize spin mixing dynamics in a spin-1 Bose-Einstein condensate by a temporal modulation of spin exchange interaction, which is tunable with optical Feshbach resonance. Adopting techniques from coherent control, we…

Quantum Gases · Physics 2015-05-14 Wenxian Zhang , Bo Sun , M. S. Chapman , L. You

We investigate the dynamics of bright matter wave solitons in spin-1 Bose-Einstein condensates with time modulated nonlinearities. We obtain soliton solutions of an integrable autonomous three-coupled Gross-Pitaevskii (3-GP) equations using…

Pattern Formation and Solitons · Physics 2014-01-08 T. Kanna , R. Babu Mareeswaran , K. Sakkaravarthi

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 present a new method to propagate rotating Bose-Einstein condensates subject to explicitly time-dependent trapping potentials. Using algebraic techniques, we combine Magnus expansions and splitting methods to yield any order methods for…

Numerical Analysis · Mathematics 2017-02-21 Philipp Bader

We present a unified description of different types of matter-wave solitons that can emerge in quasi one-dimensional spin-orbit coupled (SOC) Bose-Einstein condensates (BECs). This description relies on the reduction of the original…

Quantum Gases · Physics 2015-06-02 V. Achilleos , D. J. Frantzeskakis , P. G. Kevrekidis , P. Schmelcher , J. Stockhofe

Solitons in multi-component Bose-Einstein condensates have been paid much attention, due to the stability and wide applications of them. The exact soliton solutions are usually obtained for integrable models. In this paper, we present four…

Quantum Gases · Physics 2019-12-03 Ling-Zheng Meng , Yan-Hong Qin , Li-Chen Zhao

We classify all possible fractional charge vortices of charge less than unity in spin-1 and spin-2 polar and cyclic Bose-Einstein condensates (BECs) with zero magnetization. Statics and dynamics of these vortices in quasi-two-dimensional…

Quantum Gases · Physics 2017-11-23 Sandeep Gautam , S. K. Adhikari

Vortices in a one-component dilute atomic ultracold Bose-Einstein condensate (BEC) usually arise as a response to externally driven rotation. Apart from a few special situations, these vortices are singly quantized with unit circulation.…

Quantum Gases · Physics 2015-06-24 Alexander L. Fetter

We propose a simple model with spin and orbit angular momentum coupling in a spin-1 Bose- Einstein condensate, where three internal atomic states are Raman coupled by a pair of co- propagating Laguerre-Gaussian beams. The resulting Raman…

Quantum Gases · Physics 2016-02-03 Li Chen , Han Pu , Yunbo Zhang

We propose a method of atom-interferometry using a spinor Bose-Einstein condensate (BEC) with a time-varying magnetic field acting as a coherent beam-splitter. Our protocol creates long-lived superpositional counterflow states, which are of…

Quantum Gases · Physics 2018-02-14 John L. Helm , Thomas P. Billam , Ana Rakonjac , Simon L. Cornish , Simon A. Gardiner

Using the axially-symmetric time-dependent Gross-Pitaevskii equation we study the phase coherence in a repulsive Bose-Einstein condensate (BEC) trapped by a harmonic and an one-dimensional optical lattice potential to describe the…

Soft Condensed Matter · Physics 2009-11-07 Sadhan K. Adhikari

We investigate the fractionalized Skyrmion excitations induced by spin-orbit coupling in rotating and rapidly quenched spin-1 Bose-Einstein condensates. Our results show that the fractionalized Skyrmion excitation depends on the combination…

Quantum Gases · Physics 2015-06-04 Chao-Fei Liu , Wu-Ming Liu

We present the results of Bragg spectroscopy performed on an accelerating Bose-Einstein condensate. The Bose condensate undergoes circular micro-motion in a magnetic TOP trap and the effect of this motion on the Bragg spectrum is analyzed.…

Condensed Matter · Physics 2009-11-10 R. Geursen , N. R. Thomas , A. C. Wilson

The non-equilibrium dynamics of a rapidly quenched spin-1 Bose gas with spin-orbit coupling is studied. By solving the stochastic projected Gross-Pitaevskii equation, we show that crystallization of merons can occur in a spinor condensate…

Quantum Gases · Physics 2015-06-03 S. -W. Su , I. -K. Liu , Y. -C. Tsai , W. M. Liu , S. -C. Gou

We study the behavior of two coupled purely dipolar Bose-Einstein condensates, each located in a cylindrically symmetric pancake-shaped external confining potential, as the separation b between the traps along the tight confining direction…

Quantum Gases · Physics 2015-05-20 M. Asad-uz-Zaman , D. Blume

We investigate the topological defects and spin structures of binary Bose-Einstein condensates (BECs) with Dresselhaus spin-orbit coupling (D-SOC) in a rotating anharmonic trap. Our results show that for initially mixed BECs without SOC the…

Quantum Gases · Physics 2019-11-12 Chunxiao Shi , Linghua Wen , Qingbo Wang , Hui Yang , Huan Wang

We elaborate a method for the creation of two- and one-dimensional (2D and 1D) self-trapped modes in binary spin-orbit (SO)-coupled Bose-Einstein condensates (BECs) with the contact repulsive interaction, whose local strength grows fast…

In the present work, we explore the potential of spin-orbit (SO) coupled Bose-Einstein condensates to support multi-component solitonic states in the form of dark-bright (DB) solitons. In the case where Raman linear coupling between…

Pattern Formation and Solitons · Physics 2017-10-11 J. D'Ambroise , D. J. Franzeskakis , P. G. Kevrekidis