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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

Decoherence with recurrences appear in the dynamics of the one-body density matrix of an $F = 1$ spinor Bose-Einstein condensate, initially prepared in coherent states, in the presence of an external uniform magnetic field and within the…

Quantum Gases · Physics 2020-12-21 J. C. Sandoval-Santana , R. Zamora-Zamora , R. Paredes , V. Romero-Rochín

We observe coherent spin oscillations in an antiferromagnetic spin-1 Bose-Einstein condensate of sodium. The variation of the spin oscillations with magnetic field shows a clear signature of nonlinearity, in agreement with theory, which…

Other Condensed Matter · Physics 2009-11-13 A. T. Black , E. Gomez , L. D. Turner , S. Jung , P. D. Lett

Spin-orbit coupled bosons can exhibit rich equilibrium phases at low temperature and in the presence of particle-particle interactions. In the case with a 1D synthetic spin-orbit interaction, it has been observed that the ground state of a…

Quantum Gases · Physics 2016-06-22 Jeffrey Ting Fung Poon , Xiong-Jun Liu

Magnon Bose condensation (BC)in the symmetry breaking magnetic field is a result of unusual form of the Zeeman energy, which has terms linear in the spin-wave operators and terms mixing excitations differ in the Wave-vector of the magnetic…

Strongly Correlated Electrons · Physics 2007-05-23 S. V. Maleyev , V. P. Plakhty , S. V. Grigoriev , A. I. Okorokov , A. V. Syromyatnikov

The ground states of Bose-Einstein condensates of spin-2 bosons are classified into three distinct (ferromagnetic, ^^ ^^ antiferromagnetic", and cyclic) phases depending on the s-wave scattering lengths of binary collisions for total-spin…

Statistical Mechanics · Physics 2009-11-07 Masahito Ueda , Masato Koashi

The possibility of Bose-Einstein condensation of excitations has been discussed for a long time. The phenomenon of the phase-coherent precession of magnetization in superfluid 3He and the related effects of spin superfluidity are based on…

Other Condensed Matter · Physics 2009-11-13 Yu. M. Bunkov , G. E. Volovik

Multistep Bose-Einstein condensation of an ideal Bose gas in anisotropic harmonic atom traps is studied. In the presence of strong anisotropy realized by the different trap frequency in each direction, finite size effect dictates a series…

Quantum Physics · Physics 2008-11-26 K. Shiokawa

We show that there are three possible phases for a spin-2 spinor Bose condensate, one more compared to the spin-1 case. The order parameters of these phases are the spontaneous magnetization and the singlet pair amplitude. Current estimates…

Condensed Matter · Physics 2009-10-31 C. V. Ciobanu , S. K. Yip , T. L. Ho

We show that the ground state of a spin-1 Bose gas with an antiferro- magnetic interaction is a fragmented condensate in uniform magnetic fields. The number fluctuations in each spin component change rapidly from being enormous (order $N$)…

Condensed Matter · Physics 2009-10-31 Tin-Lun Ho , Sung Kit Yip

We study the spin entanglement in a spin-1 Bose-Einstein condensate with antiferromagnetic atomic interactions using the Hartree-Fock approach. Based on the isomorphism between symmetric $N$-qubit states and spin-$j=N/2$ states, we analyze…

Quantum Gases · Physics 2024-11-13 A. Santiago , F. Mireles , E. Serrano-Ensástiga

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

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

Evading the Mermin-Wagner-Hohenberg no-go theorem and revisiting with rigor the ideal Bose gas confined in a square box, we explore a discrete phase transition in two spatial dimensions. Through both analytic and numerical methods we verify…

Quantum Gases · Physics 2015-01-27 Wonyoung Cho , Sang-Woo Kim , Jeong-Hyuck Park

Large spin systems can exhibit unconventional types of magnetic ordering different from the ferromagnetic or N\'eel-like antiferromagnetic order commonly found in spin 1/2 systems. Spin-nematic phases, for instance, do not break…

Spin exchange interaction between atoms in a spin-1 Bose-Einstein condensate causes atomic spin evolving periodically under the single spatial mode approximation in the mean field theory. By applying fast magnetic pulses according to a…

Quantum Gases · Physics 2015-08-05 Huanbin Li , Zhengguo Pu , M. S. Chapman , Wenxian Zhang

Spin-1 Bose gases quenched to spin degeneracy exhibit fragmentation: the appearance of a condensate in more than one single-particle state. Due to its highly entangled nature, the dynamics leading to this collective state are beyond the…

Quantum Gases · Physics 2022-01-11 Lennart Fernandes , Michiel Wouters , Jacques Tempere

A spin-1 ferromagnetic Bose-Einstein condensate subject to a certain magnetic field exhibits a broken-axisymmetry phase in which the magnetization tilts against the applied magnetic field due to the competition between ferromagnetism and…

Other Condensed Matter · Physics 2009-11-11 Keiji Murata , Hiroki Saito , Masahito Ueda

We study spin correlations in Bose-Einstein condensates of spin 1 bosons with scatterings dominated by a total spin equal 2 channel. We show the low energy spin dynamics in the system can be mapped into an $o(n)$ nonlinear sigma…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Fei Zhou

Spin-orbit (SO) coupling can be introduced in a Bose--Einstein condensate (BEC) as a gauge potential acting only in a localized spatial domain. Effect of such a SO "defect" can be understood by transforming the system to the integrable…

Quantum Gases · Physics 2015-06-23 Yaroslav V. Kartashov , Vladimir V. Konotop , Dmitry A. Zezyulin

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