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$^{23}$Na spin-1 Bose-Einstein condensates are used to experimentally demonstrate that mean-field physics beyond the single-mode approximation can be relevant during the non-equilibrium dynamics. The experimentally observed spin oscillation…

Quantum Gases · Physics 2023-05-24 J. Jie , S. Zhong , Q. Zhang , I. Morgenstern , H. G. Ooi , Q. Guan , A. Bhagat , D. Nematollahi , A. Schwettmann , D. Blume

We study the dynamics of a two-mode Bose-Einstein condensate in the vicinity of a mean-field dynamical instability. Convergence to mean-field theory (MFT), with increasing total number of particles $N$, is shown to be logarithmically slow.…

Atomic Physics · Physics 2009-11-07 J. R. Anglin , A. Vardi

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

We show that the classical dynamics underlying the mean-field description of homogeneous mixtures of spinor F=1 Bose-Einstein condensates in an external magnetic field is integrable as a consequence of number conservation and axial symmetry…

Statistical Mechanics · Physics 2007-05-23 Dimas Rodrigues Romano , Emerson José Veloso de Passos

Coherent behavior of spinor Bose-Einstein condensates is studied in the presence of a significant uncondensed (normal) component. Normal-superfluid exchange scattering leads to a near-perfect local alignment between the spin fields of the…

Soft Condensed Matter · Physics 2009-11-10 J. M. McGuirk , D. M. Harber , H. J. Lewandowski , E. A. Cornell

We theoretically investigate a scheme to enhance spin squeezing in a two-component Bose-Einstein condensate (BEC) by utilizing the inherent mean-field dynamics of the condensate. Due to the asymmetry in the scattering lengths, the two…

Quantum Physics · Physics 2014-08-20 S. A. Haine , J. Lau , R. P. Anderson , M. T. Johnsson

Spinor Bose-Einstein condensates under external magnetic fields exhibit well-characterized spin domains of its ground state due to spin-dependent interactions. At low temperatures, collision-induced spin-mixing instabilities may promote the…

Quantum Gases · Physics 2022-01-12 E. Serrano-Ensástiga , F. Mireles

We report the observation of stationary turbulence in antiferromagnetic spin-1 Bose-Einstein condensates driven by a radio-frequency magnetic field. The magnetic driving injects energy into the system by spin rotation and the energy is…

Quantum Gases · Physics 2023-08-03 Deokhwa Hong , Junghoon Lee , Jongmin Kim , Jong Heum Jung , Kyuhwan Lee , Seji Kang , Yong-il Shin

The Bose-Hubbard model effectively describes bosons on a lattice with on-site interactions and nearest-neighbour hopping, serving as a foundational framework for understanding strong particle interactions and the superfluid to Mott…

Mathematical Physics · Physics 2025-03-19 Shahnaz Farhat , Denis Périce , Sören Petrat

We develop a coupled-channel framework to describe the dynamics of spinor Bose-Einstein condensates (BECs), with particular emphasis on the behavior near resonances between spin dynamics and spatial excitations. Taking advantage of the…

Quantum Gases · Physics 2026-04-21 W. Wills , D. Blume , Q. Guan

The spin mixing dynamics of spin-1 Bose-Einstein condensates with zero magnetization and under an external magnetic field is investigated. The time-dependent solutions are obtained via a diagonalization of the Hamiltonian, which has a…

Other Condensed Matter · Physics 2008-02-15 Zhifeng Chen , Chengguang Bao , Zhibing Li

We revisit in detail the non-mean-field ground-state phase diagram for a binary mixture of spin-1 Bose-Einstein condensates including quantum fluctuations. The non-commuting terms in the spin-dependent Hamiltonian under single spatial mode…

Quantum Gases · Physics 2011-12-30 Z. F. Xu , R. Lü , L. You

General theory in case of homogenous Bose-Einstein condensed systems with spinor condensate is presented for the correlation functions of density and spin fluctuations and for the one-particle propagators as well. The random phase…

Statistical Mechanics · Physics 2009-10-31 Peter Szepfalusy , Gergely Szirmai

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

Spin-orbit coupling (SOC), the interaction between the spin and momentum of a quantum particle, is crucial for many important condensed matter phenomena. The recent experimental realization of SOC in neutral bosonic cold atoms provides a…

Quantum Gases · Physics 2012-01-24 Yongping Zhang , Li Mao , Chuanwei Zhang

We study the variational perturbations for the mean-field solution of an interacting spinor system with underlying rotational symmetries. An approach based upon the Majorana stellar representation for mixed states and group theory is…

Quantum Gases · Physics 2024-02-08 E. Serrano-Ensástiga , F. Mireles

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

We investigate the expansion dynamics of spin-orbit-coupled Bose-Einstein condensates subjected to a synthetic magnetic field, after their release from an external harmonic trap. Our findings reveal that the condensate experiences a…

Quantum Gases · Physics 2024-02-28 Juan Wang , Hongguang Liang , Yan Li , Chuan-Hsun Li , Chunlei Qu

We derive from first principles the experimentally observed effective dynamics of a spinor Bose gas initially prepared as a Bose-Einstein condensate and then left free to expand ballistically. In spinor condensates, which represent one of…

Mathematical Physics · Physics 2018-09-26 Alessandro Michelangeli , Alessandro Olgiati

We present experimental observations of coherent spin-population oscillations in a cold thermal, Bose gas of spin-1 sodium-23 atoms. The population oscillations in a multi-spatial-mode thermal gas have the same behavior as those observed in…

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