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We examine the problem of a repulsive, weakly-interacting and harmonically trapped Bose-Einstein condensate under rotation. We derive a simple analytic expression for the energy incorporating the interactions when the angular momentum per…

Condensed Matter · Physics 2009-10-31 A. D. Jackson , G. M. Kavoulakis

In superfluid $^3$He-B externally pumped quantized spin-wave excitations or magnons spontaneously form a Bose-Einstein condensate in a 3-dimensional trap created with the order-parameter texture and a shallow minimum in the polarizing…

Other Condensed Matter · Physics 2014-03-20 P. J. Heikkinen , S. Autti , V. B. Eltsov , J. J. Hosio , M. Krusius , V. V. Zavjalov

In a trapped spin-1/2 Bose-Einstein condensate with miscible interactions, a two-dimensional spin-orbit coupling can introduce an unconventional spatial separation between the two components. We reveal the physical mechanism of such a…

Quantum Gases · Physics 2024-11-06 Zhiqian Gui , Zhenming Zhang , Jin Su , Hao Lyu , Yongping Zhang

We investigate the time evolution of the entanglement entropy of coupled single-mode Bose-Einstein condensates in a double well potential at $T=0$ temperature, by combining numerical results with analytical approximations. We find that the…

Quantum Gases · Physics 2022-04-18 Izabella Lovas , József Fortágh , Eugene Demler , Gergely Zaránd

We investigate the formation of non-ground-state Bose-Einstein condensates within the mean-field description represented by the Gross-Pitaevskii equation (GPE). The objective is to form excited states of a condensate known as nonlinear…

Atomic Physics · Physics 2026-01-14 Leonardo Brito da Silva , Emanuel Fernandes de Lima

Using a (1+2)-dimensional boson-vortex duality between non-linear electrodynamics and a two-component compressible Bose-Einstein condensate (BEC) with spin-orbit (SO) coupling, we obtain generalised versions of the hydrodynamic continuity…

Quantum Gases · Physics 2017-09-13 L. A. Toikka

We consider a system formed by an array of Bose-Einstein condensates trapped in a harmonic potential with a superimposed periodic optical potential. Starting from the boson field Hamiltonian, appropriate to describe dilute gas of bosonic…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 P Buonsante , R Franzosi , V Penna

We investigate the dynamics of a Bose-Einstein condensate of magnetic atoms in which the dipoles are rotated by an external magnetic field. The time-averaged dipole-dipole interaction between the atoms is effectively tuned by this rotation,…

Quantum Gases · Physics 2020-04-14 D. Baillie , P. B. Blakie

The ground state entanglement of the two-mode Bose-Einstein condensate is investigated through a quantum phase transition approach. The entanglement measure is taken as the order parameter and this is a non-local order parameter, which is…

Quantum Physics · Physics 2012-02-23 Wei Fan , Yan Xu. Bing Chen , Zhaoyang Chen , Xunli Feng , C. H. Oh

We show that the ground state of a Bose-Einstein condensate of atoms with hyperfine spin f = 2 can be either spin aligned, condensed into pairs of atoms coupled to F = 0, or condensed into triplets of atoms coupled to F = 0. The complete…

Other Condensed Matter · Physics 2008-01-29 P. Van Isacker , S. Heinze

We consider the ground state and the low-lying excitations of dipolar Bose-Einstein condensates in a bubble trap, i.e., a shell-shaped spherically symmetric confining potential. By means of an appropriate Gaussian ansatz, we determine the…

Bose-Einstein condensates have been prepared in long-lived metastable excited states. Two complementary types of metastable states were observed. The first is due to the immiscibility of multiple components in the condensate, and the second…

Condensed Matter · Physics 2009-10-31 H. -J. Miesner , D. M. Stamper-Kurn , J. Stenger , S. Inouye , A. Chikkatur , W. Ketterle

We investigate the spatial patterns of the ground state of two interacting Bose-Einstein condensates. We consider the general case of two different atomic species (with different mass and in different hyperfine states) trapped in a magnetic…

Condensed Matter · Physics 2016-08-31 Francesco Riboli , Michele Modugno

We analyze the ground-state properties and the excitation spectrum of Bose-Einstein condensates of trapped dipolar particles. First, we consider the case of a single-component polarized dipolar gas. For this case we discuss the influence of…

Condensed Matter · Physics 2007-05-23 K. Goral , L. Santos

In this article we introduce a multi-modal variational method to analytically estimate the full number- and corresponding energy-density profile of a spin-1 Bose-Einstein condensate (BEC) for a number of particles as low as 500 under…

Quantum Gases · Physics 2023-01-18 Projjwal K. Kanjilal , A. Bhattacharyay

We demonstrate that the nonlinear mean-field shift in a multi-component Bose-Einstein condensate may be eliminated by controlling the two-body interaction coefficients. This modification is achieved by, e.g., suitably engineering the…

Condensed Matter · Physics 2009-10-31 E. V. Goldstein , M. G. Moore , H. Pu , P. Meystre

We show that harmonically trapped Bose-Einstein condensates can be used to constrain Planck scale physics. In particular we prove that a Planck-scale induced deformation of the Minkowski energy-momentum dispersion relation $\delta E \simeq…

General Relativity and Quantum Cosmology · Physics 2012-10-31 F. Briscese

We consider the spin-orbit coupled Bose gas with repulsive mean-field interparticle interactions. We analyze the phase diagram of the system varying the temperature $T>0$, the chemical potentials, as well as interparticle and spin-orbit…

Quantum Gases · Physics 2025-02-05 Pawel Jakubczyk , Marek Napiórkowski

In this work we present numerical study of a trapped Bose-Einstein condensate perturbed by an alternating potential. The relevant physical situation has been recently realized in experiment, where the trapped condensate of $^{87}$Rb, being…

Quantum Gases · Physics 2015-06-24 A. N. Novikov , V. I. Yukalov , V. S. Bagnato

We consider a dilute atomic Bose-Einstein condensate with two non-degenerate internal energy levels. The presence of an external radiation field can result in new ground states for the condensate which result from the lowering of the…

Soft Condensed Matter · Physics 2009-10-31 C. P. Search , A. G. Rojo , P. R. Berman