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We study spontaneous-symmetry-breaking circularly-asymmetric phase separation of vortex lattices in a rapidly rotating harmonically-trapped quasi-two-dimensional (quasi-2D) binary Bose-Einstein condensate (BEC) with repulsive inter- and…

Quantum Gases · Physics 2020-04-22 S. K. Adhikari

We study the dynamics of a Bose-Einstein condensate in a double-well potential in the two-mode approximation. The dissipation of energy from the condensate is described by the coupling to a thermal reservoir of non-condensate modes. As a…

Condensed Matter · Physics 2009-10-31 Janne Ruostekoski , Dan F. Walls

We discuss the collective excitations in a spatially inhomogeneous (cylindrically symmetric) Bose-Einstein condensation (BEC) at low temperature ($T \ll T_{\lambda}$). The main result is the dispersion relation for a (first) sound wave that…

Other Condensed Matter · Physics 2007-05-23 S. J. Han

Spontaneous symmetry breaking is related to the appearance of emergent phenomena, while a non-vanishing order parameter has been viewed as the sign of turning into such symmetry breaking phase. Recently, we have proposed a continuous…

Quantum Physics · Physics 2017-11-22 G. H. Dong , Y. N. Fang , C. P. Sun

We present studies of the time-evolution of a two-component system of Bose-Einstein condensates (BEC) in the |F=1, mf=-1> and |2,1> spin states of Rb-87. The two condensates are created with a well-defined relative phase and complete…

Condensed Matter · Physics 2009-10-31 D. S. Hall , M. R. Matthews , J. R. Ensher , C. E. Wieman , E. A. Cornell

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

The question of whether Bose-Einstein condensation involves spontaneous symmetry breaking is surprisingly controversial. We review the theory of spontaneous symmetry breaking in ferromagnets, compare it to the theory of symmetry breaking in…

Quantum Gases · Physics 2015-07-28 David W. Snoke , Andrew J. Daley

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

We observe multi-step condensation of sodium atoms with spin $F=1$, where the different Zeeman components $m_F=0,\pm 1$ condense sequentially as the temperature decreases. The precise sequence changes drastically depending on the…

Quantum Gases · Physics 2017-08-09 C. Frapolli , T. Zibold , A. Invernizzi , K. Jiménez-García , J. Dalibard , F. Gerbier

The fundamental problem is analized, the relation between Bose-Einstein condensation and spontaneous gauge symmetry breaking. This relation is largerly misunderstood in physics community. Numerous articles and books contain the statement…

Statistical Mechanics · Physics 2015-05-13 V. I. Yukalov

We investigate the spontaneous generation of crystallized topological defects via the combining effects of fast rotation and rapid thermal quench on the spin-1 Bose-Einstein condensates. By solving the stochastic projected Gross-Pitaevskii…

Quantum Gases · Physics 2016-11-25 S. -W. Su , C. -H. Hsueh , I. -K. Liu , T. -L. Horng , Y. -C. Tsai , S. -C. Gou , W. M. Liu

In this paper we discuss Bose-Einstein spinor condensates for F=1 atoms in the context of 87Rb, as studied experimentally by the Stamper-Kurn group [Sadler et al. Nature (2006)]. The dynamical quantum fluctuations of a sample that starts as…

Statistical Mechanics · Physics 2008-02-15 George I. Mias , Nigel R. Cooper , S. M. Girvin

We study numerically the spin turbulence in spin-1 ferromagnetic spinor Bose-Einstein condensates (BECs). Spin turbulence (ST) is characterized by a -7/3 power law in the spectrum of the spin-dependent interaction energy. The direction of…

Quantum Gases · Physics 2015-06-15 Makoto Tsubota , Yusuke Aoki , Kazuya Fujimoto

We theoretically investigate the spin-mixing dynamics of a spinor BEC subject to a time-dependent confining potential. Our study provides a theory framework for the experimental results reported in Phys. Rev. A 109, 043309 (2024). We…

Quantum Gases · Physics 2025-03-14 Q. Guan , D. Blume , R. J. Lewis-Swan

Bose Einstein condensates of spin-1 atoms are known to exist in two different phases, both having spontaneously broken spin-rotation symmetry, a ferromagnetic and a polar condensate. Here we show that in two spatial dimensions it is…

Quantum Gases · Physics 2018-12-04 A. L. Chudnovskiy , V. Cheianov

Significant experimental progress has been made recently for observing long-sought supersolid-like states in Bose-Einstein condensates, where spatial translational symmetry is spontaneously broken by anisotropic interactions to form a…

Quantum Gases · Physics 2021-08-18 Guan-Qiang Li , Xi-Wang Luo , Junpeng Hou , Chuanwei Zhang

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

The realisation of Bose-Einstein condensation under grand-canonical conditions has provided the experimental evidence for the simultaneous occurrence of macroscopic fluctuations and phase coherence of the condensate. The observation of…

Statistical Mechanics · Physics 2026-03-10 A. Crisanti , A. Sarracino , M. Zannetti

We develop a symmetry classification scheme to find ground states of pseudo spin-1/2, spin-1, and spin-2 spin-orbit coupled spinor Bose-Einstein condensates, and show that as the SO(2) symmetry of simultaneous spin and space rotations is…

Quantum Gases · Physics 2012-09-28 Z. F. Xu , Y. Kawaguchi , L. You , M. Ueda

We study the dynamics of the quantum phase transition of a ferromagnetic spin-1 Bose-Einstein condensate from the polar phase to the broken-axisymmetry phase by changing magnetic field, and find the spontaneous formation of spinor domain…

Other Condensed Matter · Physics 2009-11-11 Hiroki Saito , Yuki Kawaguchi , Masahito Ueda