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We propose a scheme for spin-squeezing in the orbital motion of a Bose-Einstein condensate (BEC) in a toroidal trap. A circular lattice couples two counter-rotating modes and squeezing is generated by the nonlinear interaction spatially…

Quantum Gases · Physics 2015-07-28 Tomáš Opatrný , Michal Kolář , Kunal K. Das

Bose Einstein condensates of spin-1 atoms are known to exist in two different phases, both having spontaneously broken spin-rotation symmetry, a ferromagnetic and a polar condensate. Here we show that in two spatial dimensions it is…

Quantum Gases · Physics 2018-12-04 A. L. Chudnovskiy , V. Cheianov

The phase diagram of a Bose-Einstein condensate with Raman-induced spin-orbit coupling includes a stripe phase with supersolid features. In this work we develop a perturbation approach to study the ground state and the Bogoliubov modes of…

Quantum Gases · Physics 2021-11-24 Giovanni I. Martone , Sandro Stringari

We provide here a set of three OpenMP parallelized FORTRAN 90/95 programs to compute the ground states and the dynamics of trapped spin-2 Bose-Einstein condensates (BECs) with anisotropic spin-orbit (SO) coupling by solving a set of five…

Quantum Gases · Physics 2023-01-10 Paramjeet Banger , Pardeep Kaur , Arko Roy , Sandeep Gautam

The fragmentation of spin-orbit coupled spin-1 Bose gas with a weak interaction in external harmonic trap is explored by both exact diagonalization and mean-field theory. This fragmentation tendency, which originates from the total angular…

Quantum Gases · Physics 2015-06-19 Shu-Wei Song , Yi-Cai Zhang , Hong Zhao , Xuan Wang , Wu-Ming Liu

In Bose-Einstein condensates (BEC), spin-orbit coupling (SOC) produces supersolidity. It is a peculiar state of matter, which, in addition to the superfluid behaviour shows periodic density modulation typical for crystals. Here, we report…

We consider a mixture of two species of spin-1 atoms with interspecies spin exchange, which may cooperate or compete with the intraspecies spin exchanges and thus dramatically affect the ground state. It represents a new class of bosonic…

Quantum Gases · Physics 2015-05-14 Yu Shi

Degenerate spinor Bose gases with repulsive density-density interaction and anti-ferromagnetic spin-spin coupling in one spatial dimension are shown to be described by a quantum integrable matrix extension of the nonlinear Schr\"odinger…

Quantum Gases · Physics 2026-05-01 Hannes Köper , Thomas Gasenzer

We theoretically investigate an annularly confined Bose-Einstein Condensate (BEC) coupled to a four-mirror ring cavity supporting traveling-wave optical modes. Under symmetric driving by counter-propagating Laguerre-Gaussian beams carrying…

Quantum Gases · Physics 2026-04-21 Gunjan Yadav , Nilamoni Daloi , Pardeep Kumar , M. Bhattacharya , Tarak Nath Dey

We consider spin-orbit coupled Bose-Einstein condensates with cubic-quintic nonlinear interaction within the framework of second quantization formulation and find eigen states using numerical simulation and mean-field approximation. We show…

Quantum Gases · Physics 2026-03-30 Prithwish Ghosh , Kajal Krishna Dey , Golam Ali Sekh

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

This paper presents a novel spatial discretisation method for the reliable and efficient simulation of Bose-Einstein condensates modelled by the Gross-Pitaevskii equation and the corresponding nonlinear eigenvector problem. The method…

Numerical Analysis · Mathematics 2023-09-22 Daniel Peterseim , Johan Wärnegård , Christoph Zimmer

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 examine the internal structure of the ground states of a trapped Bose-Einstein condensate in which atoms have three internal hyperfine spins. We determine a set of collective spin states which minimize the interaction energy between…

Soft Condensed Matter · Physics 2009-10-31 C. K. Law , H. Pu , N. P. Bigelow

We present a method for evolving the projected Gross-Pitaevskii equation in an infinite rotating Bose-Einstein condensate, the ground state of which is a vortex lattice. We use quasi-periodic boundary conditions to investigate the behaviour…

Quantum Gases · Physics 2020-09-16 R. Doran , T. P. Billam

An efficient multigrid method is proposed to compute the ground state solution of Bose-Einstein condensations by the finite element method based on the combination of the multigrid method for nonlinear eigenvalue problem and an efficient…

Numerical Analysis · Mathematics 2017-12-12 Hehu Xie , Fei Xu , Ning Zhang

Multi-mode squeezing and entanglement are important resources in quantum metrology and sensing. For spin-1/2 Bose-Einstein condensates subject to spin-orbit coupling (SOC), previous studies on spin squeezing have been limited to two-mode…

Quantum Gases · Physics 2025-08-07 Fei Zhu , Zheng Tang , Liang Zeng , Shu Wang , Li Chen

We study matter-wave bright solitons in spin-orbit (SO) coupled Bose-Einstein condensates (BECs) with attractive interatomic interactions. We use a multiscale expansion method to identify solution families for chemical potentials in the…

Quantum Gases · Physics 2013-08-09 V. Achilleos , D. J. Frantzeskakis , P. G. Kevrekidis , D. E. Pelinovsky

We study a two-component Bose gas with a symmetric spin-orbit coupling, and find that two atoms can form a bound state with any intra- or inter-species scattering length. Consequently, in the dilute limit, the Bardeen-Cooper-Shrieffer (BCS)…

Quantum Gases · Physics 2017-10-02 Dekun Luo , Lan Yin

We introduce a novel, non-invasive imaging technique based on spin-dependent off-axis holography (SOAH) for spin-1 Bose-Einstein condensates (BECs). Utilizing a dual reference beam strategy, this method records two orthogonal circular…

Quantum Gases · Physics 2024-05-17 Nejc Blaznik , Jasper Smits , Marc Duran Gutierrez , Peter van der Straten
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