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We revisit the topic of the mean field ground state of a spin-1 atomic condensate inside a uniform magnetic field ($B$) under the constraints that both the total number of atoms ($N$) and the magnetization ($\cal M$) are conserved. In the…

Soft Condensed Matter · Physics 2009-11-10 Wenxian Zhang , Su Yi , Li You

A spin-1 condensate with antiferromagnetic interactions supports nematic spin vortices in the easy-plane polar phase. These vortices have a $2\pi$ winding of the nematic director, with a core structure that depends on the quadratic Zeeman…

Quantum Gases · Physics 2020-09-02 Andrew P. C. Underwood , D. Baillie , P. Blair Blakie , H. Takeuchi

We investigate the thermodynamics of a spin-1 Bose gas with fixed magnetization including the quadratic Zeeman energy shift. Our calculations are based on the grand canonical description for the ideal gas and the classical fields…

Quantum Gases · Physics 2015-05-20 Guillaume Lang , Emilia Witkowska

We consider a macroscopic spin qubit based on spin-orbit coupled Bose-Einstein condensates, where, in addition to the spin-orbit coupling, spin dynamics strongly depends on the interaction between particles. The evolution of the spin for…

Quantum Physics · Physics 2015-05-19 Sh. Mardonov , M. Modugno , E. Ya. Sherman

We study the ground state quantum fragmentation in a mixture of a polar condensate and a ferromagnetic condensate when subject to an external magnetic field. We pay more attentions to the polar condensate and find that it will be less…

Quantum Gases · Physics 2015-06-23 Jie Zhang , Xue Hou , Bin Chen , Yunbo Zhang

We develop a method for investigating nonequilibrium dynamics of an ultracold system that is initially at thermal equilibrium. Our procedure is based on the classical fields approximation with appropriately prepared initial state. As an…

Quantum Gases · Physics 2015-05-20 Emilia Witkowska , Tomasz Świsłocki , Michał Matuszewski

Cold atom developments suggest the prospect of measuring scaling properties and long-range fluctuations of continuous phase transitions at zero-temperature. We discuss the conditions for characterizing the phase separation of Bose-Einstein…

Statistical Mechanics · Physics 2012-02-16 D. H. Santamore , Eddy Timmermans

We develop a functional integral formulation for binary Bose-Einstein condensates coupled to polarized fermions. We find that spin-dependent fermion-mediated interactions have dramatic effects on the properties of the binary condensates.…

Quantum Gases · Physics 2020-12-03 Renyuan Liao

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

A Bose-Einstein condensate produced by a Hamiltonian which is rotationally or translationally symmetric is fragmented as a direct result of these symmetries. A corresponding mean-field unfragmented state, with an identical energy to leading…

Other Condensed Matter · Physics 2009-11-13 A. D. Jackson , G. M. Kavoulakis , M. Magiropoulos

We investigate the dynamics and outcome of a quantum phase transition from an antiferromagnetic to phase separated ground state in a spin-1 Bose-Einstein condensate of ultracold atoms. We explicitly demonstrate double universality in…

Quantum Gases · Physics 2013-09-25 Emilia Witkowska , Jacek Dziarmaga , Tomasz Świsłocki , Michał Matuszewski

We investigate Bose-Einstein condensation of trapped spin-1 atoms with ferromagnetic or antiferromagnetic two-body contact interactions. We adopt the mean field theory and develop a Hartree-Fock-Popov type approximation in terms of a…

Statistical Mechanics · Physics 2007-05-23 Wenxian Zhang , Su Yi , L. You

We discuss the dynamics of a quantum phase transition in a spin-1 Bose-Einstein condensate when it is driven from the magnetized broken-symmetry phase to the unmagnetized ``symmetric'' polar phase. We determine where the condensate goes out…

Other Condensed Matter · Physics 2009-11-13 Bogdan Damski , Wojciech H. Zurek

We present experiments revealing the competing effect of quantum fluctuations and of a coherent seed in the dynamics of a spin-1 Bose-Einstein condensate, and discuss the relevance of a mean-field description of our system. We first explore…

Quantum Gases · Physics 2021-03-10 Bertrand Evrard , An Qu , Jean Dalibard , Fabrice Gerbier

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

We have studied quantum spin dynamics of small condensates of cold sodium atoms. For a condensate initially prepared in a mean field ground state, we show that coherent spin dynamics are {\em purely} driven by quantum fluctuations of…

Other Condensed Matter · Physics 2009-11-13 Xiaoling Cui , Yupeng Wang , Fei Zhou

Spin one condensates in the polar (antiferromagnetic) phase in two dimensions are shown to undergo a transition of the Ising type, in addition to the expected Kosterlitz--Thouless (KT) transition of half vortices, due to the quadratic…

Quantum Gases · Physics 2015-03-31 A. J. A. James , A. Lamacraft

We predict a dynamical resonant effect, which is driven by externally applied linear and quadratic Zeeman fields, in a spin-orbit-coupled spin-1 Bose-Einstein condensate. The Bose-Einstein condensate is assumed to be initialized in some…

Quantum Gases · Physics 2021-01-04 Jingtao Fan , Gang Chen , Suotang Jia

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

The emergence of a finite staggered magnetization in quantum Heisenberg antiferromagnets subject to a uniform magnetic field can be viewed as Bose-Einstein condensation of magnons. Using non-perturbative results for the infrared behavior of…

Statistical Mechanics · Physics 2007-05-23 Andreas Kreisel , Nils Hasselmann , Peter Kopietz