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We study analytically and asymptotically as well as numerically ground states and dynamics of two-component spin-orbit-coupled Bose-Einstein condensates (BECs) modeled by the coupled Gross-Pitaevskii equations (CGPEs). In fact, due to the…

Mathematical Physics · Physics 2015-04-14 Weizhu Bao , Yongyong Cai

We show that the interplay between spin-orbit coupling and Zeeman splitting in atomic systems can lead to the existence of bound states in the continuum (BICs) supported by trapping potentials. Such states have energies falling well within…

Pattern Formation and Solitons · Physics 2017-09-21 Yaroslav V. Kartashov , Vladimir V. Konotop , Lluis Torner

Ultracold atomic systems confined in optical cavities have been demonstrated as a laboratory for the control of quantum matter properties and analog quantum simulation. Often neglected, but soon amenable to manipulation in a new generation…

Quantum Gases · Physics 2026-03-24 Brahyam Ríos-Sánchez , Santiago F. Caballero-Benítez

We investigate the ground state and dynamics of a mixture of spin-1 and spin-2 Bose-Einstein condensates of ${}^{87}{\rm{Rb}}$ atoms. For the experimentally measured interaction coefficients, the ground state exhibits phase separation…

Quantum Gases · Physics 2024-09-27 Uyen Ngoc Le , Hieu Binh Le , Hiroki Saito

This study explores the dynamics of Bose-Einstein condensates (BECs) with helicoidal spin-orbit coupling (SOC) and Rabi coupling, confined under a two-dimensional harmonic potential. The relationship between helicoidal SOC, non-linear…

Quantum Gases · Physics 2026-05-27 Sai Satyaprakash Biswal , S. Saravana Veni

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 experimentally generate sine-Gordon-like solitons in a spin-1 spinor Bose-Einstein condensate (BEC) utilizing a robust and reproducible local phase-imprinting scheme. We find that the soliton velocity can be tuned by the effective…

We propose a method for systematically finding ground states of spinor Bose-Einstein condensates by utilizing symmetry properties of the system. By this method, we can find not only an inert state, whose symmetry is maximal in the manifold…

Quantum Gases · Physics 2011-11-17 Yuki Kawaguchi , Masahito Ueda

We show several novel aspects in the exact non-equilibrium dynamics of quantum double dark-soliton states in the Lieb-Liniger model for the one-dimensional Bose gas with repulsive interactions. We also show an exact finite-size scaling of…

Quantum Gases · Physics 2023-04-10 Kayo Kinjo , Jun Sato , Tetsuo Deguchi

Topological inhomogeneity gives rise to spectral anomalies that can induce Bose-Einstein Condensation (BEC) in low dimensional systems. These anomalies consist in energy regions composed of an infinite number of states with vanishing weight…

Statistical Mechanics · Physics 2009-11-07 Raffaella Burioni , Davide Cassi , Alessandro Vezzani

Entanglement of spin and position variables produced by spatially inhomogeneous magnetic fields of Stern-Gerlach type acting on spinor Bose-Einstein condensates may lead to interference effects at the level of one-boson densities. A model…

Condensed Matter · Physics 2009-11-07 S. Cruz-Barrios , M. C. Nemes , A. F. R. de Toledo Piza

The compound BaCuSi2O6 is a quantum magnet with antiferromagnetic dimers of S = 1/2 moments on a quasi-2D square lattice. We have investigated its spin dynamics by inelastic neutron scattering experiments on single crystals with an energy…

Strongly Correlated Electrons · Physics 2008-04-24 Ch. Rüegg , D. F. McMorrow , B. Normand , H. M. Ronnow , S. E. Sebastian , I. R. Fisher , C. D. Batista , S. Gvasaliya , Ch. Niedermayer , J. Stahn

We present the experimental discovery of compound structures comprising solitons and vortex rings in Bose-Einstein condensates (BECs). We examine both their creation via soliton-vortex collisions and their subsequent development, which is…

Other Condensed Matter · Physics 2009-11-10 Naomi S. Ginsberg , Joachim Brand , Lene Vestergaard Hau

We have studied theoretically the Bose-Einstein condensation (BEC) of two-dimensional excitons in a ring with small random width variation. We derive a nonlinear Gross-Pitaevkii equation (GPE) for such a condensate. Our numerical solution…

Strongly Correlated Electrons · Physics 2007-05-23 S. -R. Eric Yang , Q-Han Park , J. Yeo

We unravel the correlation effects of the second-order quantum phase transitions emerging on the ground state of a harmonically trapped spin-1 Bose gas, upon varying the involved Zeeman terms, as well as its breathing dynamics triggered by…

Quantum Gases · Physics 2020-07-15 K. M. Mittal , S. I. Mistakidis , P. G. Kevrekidis , P. Schmelcher

We present an analysis of stationary solutions for two-dimensional (2D) Bose-Einstein condensates (BECs) with the Rashba spin-orbit (SO) coupling and Zeeman splitting. By introducing the generalized momentum operator, the linear version of…

Quantum Gases · Physics 2022-09-07 Huan-Bo Luo , B. A. Malomed , Wu-Ming Liu , Lu Li

We study a spinor (two-component) Bose gas confined in a one-dimensional double-valley optical lattice which has a double-well structure in momentum space. Based on field theory analysis, it is found that spinor bosons in the double-valley…

Quantum Gases · Physics 2017-12-15 Ying-Hai Wu , Xiaopeng Li , S. Das Sarma

We discuss properties of a single impurity atom immersed in the spin-$1/2$ dilute Fermi gas with equal populations of two species in the deep Bose-Einstein condensate (BEC) phase. In this limit, when an almost undepleted BEC of the tightly…

Quantum Gases · Physics 2021-11-16 O. Hryhorchak , V. Pastukhov

Quantum spin ice in pyrochlore lattice exemplifies three dimensional frustrated spin systems.In existing studies, Bose-Einstein condensation of bosonic spinons gives rise to magnetically ordered ground state.A truly liquid quantum spin…

Strongly Correlated Electrons · Physics 2018-11-14 Imam Makhfudz

Superstripe phases in Bose-Einstein condensates (BECs), possessing both crystalline structure and superfluidity, opens a new avenue for exploring exotic quantum matters---supersolids. However, conclusive detection and further exploration of…

Quantum Gases · Physics 2019-12-11 Xi-Wang Luo , Chuanwei Zhang