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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

Divergence-free pseudopotentials for spatially even and odd-wave interactions in spinor Fermi gases in tight atom waveguides are derived. The Fermi-Bose mapping method is used to relate the effectively one-dimensional fermionic many-body…

Soft Condensed Matter · Physics 2009-11-10 M. D. Girardeau , M. Olshanii

We present a self-consistent study of coherently coupled two-component Bose-Einstein condensates. Finite spin-flipping coupling changes the first order demixing phase transition for Bose-Bose mixtures to a second order phase transition…

Quantum Gases · Physics 2013-07-29 M. Abad , A. Recati

Bose-Einstein condensation, observed in either strongly interacting liquid helium or weakly interacting atomic Bose gases, is widely known to be a second-order phase transition. Here, we predict a first-order Bose-Einstein condensation in a…

Quantum Gases · Physics 2022-01-21 Hui Hu , Zeng-Qiang Yu , Jia Wang , Xia-Ji Liu

We study the dependency of the quantum spin dynamics on the particle number in a system of ultracold spin-1 atoms within the single-spatial-mode approximation. We find, for all strengths of the spin-dependent interaction, convergence…

Quantum Gases · Physics 2010-09-02 Jannes Heinze , Frank Deuretzbacher , Daniela Pfannkuche

We have analytically solved one-dimensional interacting two-component bosonic gases with spin-orbit (SO) coupling by the Bethe-ansatz method. Through a gauge transformation, the effect of SO coupling is incorporated into a spin-dependent…

Quantum Gases · Physics 2013-09-19 Xing Chen , Haiping Hu , Yuzhu Jiang , Shu Chen

We present measurements and a theoretical model for the interplay of spin dependent interactions and external magnetic fields in atomic spinor condensates. We highlight general features like quadratic Zeeman dephasing and its influence on…

Other Condensed Matter · Physics 2009-11-11 J. Kronjäger , C. Becker , M. Brinkmann , R. Walser , P. Navez , K. Bongs , K. Sengstock

The static properties, i.e., existence and stability, as well as the quench-induced dynamics of vortex-bright type excitations in two-dimensional harmonically confined spin-1 Bose-Einstein condensates are investigated. Linearly stable…

Quantum Gases · Physics 2023-03-03 G. C. Katsimiga , S. I. Mistakidis , K. Mukherjee , P. G. Kevrekidis , P. Schmelcher

Bose-Einstein condensates of dilute atomic gases, characterized by a macroscopic population of the quantum mechanical ground state, are a new, weakly interacting quantum fluid. In most experiments condensates in a single weak field seeking…

Statistical Mechanics · Physics 2015-06-25 J. Stenger , S. Inouye , D. M. Stamper-Kurn , H. -J. Miesner , A. P. Chikkatur , W. Ketterle

In this letter we propose a protocol to reverse a quantum many-body dynamical process. We name it "many-body echo" because the underlying physics is closely related to the spin echo effect in nuclear magnetic resonance systems. We consider…

Quantum Gases · Physics 2020-07-15 Yang-Yang Chen , Pengfei Zhang , Wei Zheng , Zhigang Wu , Hui Zhai

Many-body eigenfunctions of the total spin operator can be constructed from the spin and spatial wavefunctions with non-trivial permutation symmetries. Spin-dependent interactions can lead to relaxation of the spin eigenstates to the…

Quantum Gases · Physics 2016-02-09 Vladimir A. Yurovsky

Spinor ultracold gases in one dimension represent an interesting example of strongly correlated quantum fluids. They have a rich phase diagram and exhibit a variety of quantum phase transitions. We consider a one-dimensional spinor gas of…

Quantum Gases · Physics 2015-05-27 G. V. Shlyapnikov , A. M. Tsvelik

We discuss the quantum phases and their diffusion dynamics in a spinor-1 atomic Bose-Einstein condensate. For ferromagnetic interactions, we obtain the exact ground state distribution of the phases associated with the total atom number…

Condensed Matter · Physics 2009-11-10 S. Yi , Ö. E. Müstecaplıoğlu , L. You

A central goal in condensed matter and modern atomic physics is the exploration of many-body quantum phases and the universal characteristics of quantum phase transitions in so far as they differ from those established for thermal phase…

Statistical Mechanics · Physics 2009-11-11 L. E. Sadler , J. M. Higbie , S. R. Leslie , M. Vengalattore , D. M. Stamper-Kurn

For an antiferromagnetic spin-1 Bose-Einstein condensate under an applied uniform magnetic field, its ground state $(\psi_1,\psi_0,\psi_{-1})$ undergoes a phase transition from a two-component state ($\psi_0 \equiv 0$) to a three-component…

Mathematical Physics · Physics 2025-12-13 Liren Lin , I-Liang Chern

Properties of spin-1 Bose gases with ferromagnetic interaction in the presence of a nonzero magnetic field are studied. The equation of state and thermodynamic quantities are worked out with the help of a mean-field approximation. The phase…

Other Condensed Matter · Physics 2007-05-23 Krisztian Kis-Szabo , Peter Szepfalusy , Gergely Szirmai

Strongly interacting one-dimensional quantum systems often behave in a manner that is distinctly different from their higher-dimensional counterparts. When a particle attempts to move in a one-dimensional environment it will unavoidably…

We investigate phase transitions of the ground state (GS) of spin-1 Bose-Einstein condensates under the combined action of the spin-orbit coupling (SOC) and gradient magnetic field. Introducing appropariate raising and lowering operators,…

Quantum Gases · Physics 2024-11-22 Xin-Feng Zhang , Yuan-Fen Liu , Huan-Bo Luo , Bin Liu , Fu-Quan Dou , Yongyao Li , Boris A. Malomed

We consider a two-component Bose-Einstein condensate with and without synthetic "spin-orbit" interactions in two dimensions. Density- and phase-fluctuations of the condensate are included, allowing us to study the impact of thermal…

Quantum Gases · Physics 2016-08-22 Peder N. Galteland , Asle Sudbø

The theoretical investigation of rotating Bose-Einstein condensates has mainly focused on the emergence of quantum vortex states and the condensed properties of such systems. In the present work, we concentrate on other facets by examining…

Quantum Gases · Physics 2023-03-14 Sunayana Dutta , Axel U. J. Lode , Ofir E. Alon