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We present a theoretical investigation on the enhancement of the spin coherence with periodic, concatenated, or Uhrig dynamical decoupling $N$-pulse sequences in a $^{87}$Rb spin-1 Bose condensate, where the intrinsic dynamical instability…

Quantum Gases · Physics 2011-09-01 Bo-Yuan Ning , Jun Zhuang , J. Q. You , Wenxian Zhang

We investigate the spin tunnelling of spin-1 Bose-Einstein condensates in a linearly sweeping magnetic field with a mean-field treatment. We focus on the two typical alkali Bose atoms $^{87}Rb$ and $^{23}Na$ condensates and study their…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Guan-Fang Wang , Li-Bin Fu , Jie Liu

We study the bosonic Boltzmann-Nordheim kinetic equation, which describes the kinetic regime of weakly interacting bosons with s-wave scattering only. We consider a spatially homogeneous fluid with an isotropic momentum distribution. The…

Mesoscale and Nanoscale Physics · Physics 2008-09-29 Herbert Spohn

This paper presents a novel spatial discretisation method for the reliable and efficient simulation of Bose-Einstein condensates modelled by the Gross-Pitaevskii equation and the corresponding nonlinear eigenvector problem. The method…

Numerical Analysis · Mathematics 2023-09-22 Daniel Peterseim , Johan Wärnegård , Christoph Zimmer

According to the "no-node" theorem, many-body ground state wavefunctions of conventional Bose-Einstein condensations (BEC) are positive-definite, thus time-reversal symmetry cannot be spontaneously broken. We find that multi-component…

Superconductivity · Physics 2011-08-10 Congjun Wu , Ian Mondragon-Shem , Xiang-Fa Zhou

We present analytic and numerical results for a class of monopole solutions to the two-component Gross-Pitaevski equation for a two-species Bose condensate in an effectively two-dimensional trap. We exhibit dynamical instabilities involving…

Condensed Matter · Physics 2009-10-31 Th. Busch , J. R. Anglin

We derive a kinetic theory for a spin-1/2 Bose-condensed gas of two-level atoms at finite temperatures. The condensate dynamics is described by a generalized Gross-Pitaevskii equation for the two-component spinor order parameter, which…

Statistical Mechanics · Physics 2007-05-23 T. Nikuni , J. E. Williams

We propose a scheme for the measurement of the s-wave scattering length $a$ of an atom or molecule with significant dipole-dipole interaction with an accuracy at the percent level. The frequencies of the collective oscillations of a…

Other Condensed Matter · Physics 2009-11-11 S. Giovanazzi , L. Santos , T. Pfau

The dispersive interaction of atoms and a far-detuned light field allows nondestructive imaging of the density oscillations in Bose-Einstein condensates. Starting from a ground state condensate, we investigate how the measurement back…

Quantum Physics · Physics 2015-08-05 Andrew C. J. Wade , Jacob F. Sherson , Klaus Mølmer

A finite-size quasi two-dimensional Bose-Einstein condensate collapses if the attraction between atoms is sufficiently strong. Here we present a theory of collapse for condensates with the interatomic attraction and spin-orbit coupling. We…

Quantum Gases · Physics 2015-04-14 Sh. Mardonov , E. Ya. Sherman , J. G. Muga , Hong-Wei Wang , Yue Ban , Xi Chen

We present a simple and efficient method to optimize within energy minimization the determinantal component of the many-body wave functions commonly used in quantum Monte Carlo calculations. The approach obtains the optimal wave function as…

Other Condensed Matter · Physics 2009-11-11 Anthony Scemama , Claudia Filippi

We investigate the internal dynamics of the spinor Bose-Einstein Condensates subject to dissipation by solving the Lindblad master equation. It is shown that for the condensates without dissipation its dynamics always evolve along specific…

Quantum Gases · Physics 2016-02-03 Man-Man Pang , Yajiang Hao

We generate spin currents in an $^{87}$Rb spin-2 Bose-Einstein condensate by application of a magnetic field gradient. The spin current destroys the spin polarization, leading to a sudden onset of two-body collisions. In addition, the spin…

Quantum Gases · Physics 2014-05-05 Yujiro Eto , Mark Sadgrove , Sho Hasegawa , Hiroki Saito , Takuya Hirano

We analytically solve the one-dimensional coupled Gross-Pitaevskii equations which govern the motion of F=1 spinor Bose-Einstein condensates. The nonlinear density-density interactions are decoupled by making use of the unique properties of…

Quantum Gases · Physics 2015-06-04 Zhi-Hai Zhang , Cong Zhang , Shi-Jie Yang , Shiping Feng

We investigate the phenomenon of Bose-Einstein condensation on manifolds constructed as a product of a three-dimensional Euclidian space and a general smooth, compact $d$-dimensional manifold possibly with boundary. By using spectral…

High Energy Physics - Theory · Physics 2011-07-27 Guglielmo Fucci , Klaus Kirsten

We propose a method to infer the single-particle entropy of bosonic atoms in an optical lattice and to study the local evolution of entropy, spin squeezing, and entropic inequalities for entanglement detection in such systems. This method…

Quantum Gases · Physics 2013-09-23 F. Cattani , C. Gross , M. K. Oberthaler , J. Ruostekoski

Spin-orbit-coupled Bose-Einstein condensates are a flexible experimental platform to engineer synthetic quantum many-body systems. In particular, they host the so-called stripe phase, an instance of a supersolid state of matter. The…

Quantum Gases · Physics 2026-03-24 C. S. Chisholm , S. Hirthe , V. B. Makhalov , R. Ramos , R. Vatré , J. Cabedo , A. Celi , L. Tarruell

We study zero-energy collisions between three identical bosons with spin $f = 1$ interacting via pairwise potentials. We quantify the corresponding three-body scattering hypervolumes, which parametrize the effective three-body interaction…

Quantum Gases · Physics 2021-08-26 P. M. A. Mestrom , J. -L. Li , V. E. Colussi , T. Secker , S. J. J. M. F. Kokkelmans

Using the explicit numerical solution of the axially-symmetric Gross-Pitaevskii equation we study the oscillation of the Bose-Einstein condensate induced by a periodic variation in the atomic scattering length $a$. When the frequency of…

Soft Condensed Matter · Physics 2009-11-07 Sadhan K. Adhikari

Assuming the existence of a Bose-Einstein condensate composed of the majority of a sample of ultracold, trapped atoms, perturbative treatments to incorporate the non-condensate fraction are common. Here we describe how this may be carried…

Quantum Gases · Physics 2017-08-23 S. A. Gardiner , T. P. Billam
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