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We study collective modes of vortex lattices in two-component Bose-Einstein condensates subject to synthetic magnetic fields in mutually parallel or antiparallel directions. By means of the Bogoliubov theory with the lowest-Landau-level…

Quantum Gases · Physics 2019-01-11 Takumi Yoshino , Shunsuke Furukawa , Sho Higashikawa , Masahito Ueda

We investigate the interactions of collective excitations with vortices in superfluid systems, including $~^4$He and superconductors. The dynamical equations are obtained by the aid of the many-body wavefunction and the density-density…

Condensed Matter · Physics 2009-10-22 E. Demircan , P. Ao , Q. Niu

We study Bose-Einstein condensate of atomic Boson gases trapped in a composite potential of a harmonic potential and an optical lattice potential. We found a series of collective excitations that induces localized vortex oscillations with a…

Other Condensed Matter · Physics 2009-11-11 Tomoya Isoshima

We have measured the precession frequency of a vortex lattice in a Bose-Einstein condensate of 87Rb atoms. The observed mode corresponds to a collective motion in which all the vortices in the array are tilted by a small angle with respect…

Statistical Mechanics · Physics 2007-05-23 N. L. Smith , W. H. Heathcote , J. M. Krueger , C. J. Foot

Excitations of two-dimensional skyrmion lattice are theoretically studied based on a collective coordinate description. Starting from the representation of skyrmion lattice in terms of three helices, we identify the canonical coordinates…

Mesoscale and Nanoscale Physics · Physics 2015-06-22 Gen Tatara , Hidetoshi Fukuyama

The collective excitations that minimize the Helmholtz free energy of a population-imbalanced mixture of a $^{6}$Li gas loaded in a quasi one-dimensional optical lattice are obtained. These excitations reveal a rotonic branch after solving…

Quantum Gases · Physics 2015-06-16 R. Mendoza , Mauricio Fortes , M. A. Solís

Clusters of co-rotating vortices on compact fluid domains exhibit a simple collective dynamics, combining coherent global rotation with a slow breathing of the cluster size. In this work, we investigate an analytically tractable model of…

Fluid Dynamics · Physics 2026-04-15 Aswathy KR , Rickmoy Samanta

In this paper we examine the excitations observable in atoms confined in an optical lattice around the superfluid-insulator transition. We use increases in the number variance of atoms, subsequent to tilting the lattice as the primary…

Soft Condensed Matter · Physics 2013-05-29 K. Braun-Munzinger , J. A. Dunningham , K. Burnett

We investigate the low-lying excitations of a stack of weakly-coupled two-dimensional Bose-Einstein condensates that is formed by a one-dimensional optical lattice. In particular, we calculate the dispersion relations of the monopole and…

Soft Condensed Matter · Physics 2014-10-13 J. -P. Martikainen , H. T. C. Stoof

Quantized vortices stunningly illustrate the coherent nature of a superfluid Bose condensate of alkali atoms. Introducing an optical lattice depletes this coherence. Consequently, novel vortex physics may emerge in an experiment on a…

Other Condensed Matter · Physics 2008-07-24 Daniel S. Goldbaum , Erich J. Mueller

The single vortex problem in a strongly correlated bosonic system is investigated self-consistently within the mean-field theory of the Bose-Hubbard model. Near the superfluid-Mott transition, the vortex core has a tendency toward the…

Strongly Correlated Electrons · Physics 2007-05-23 Congjun Wu , Han-dong Chen , Jiang-ping Hu , Shou-Cheng Zhang

Lattice vibration modes are collective excitations in periodic arrays of atoms or molecules. These modes determine novel transport properties in solid crystals. Analogously, in periodical arrangements of magnetic vortex-state disks,…

We study elementary low energy excitations inside a supersolid. We find that the coupling between the longitudinal lattice vibration mode and the superfluid mode leads to two longitudinal modes (one upper branch and one lower branch) inside…

Materials Science · Physics 2008-03-15 Jinwu Ye

We consider a generic Hamiltonian that is suitable for describing a uniform BCS superfluid on a lattice with a two-point basis, and study its collective excitations at zero temperature. For this purpose, we first derive an…

Quantum Gases · Physics 2020-05-27 M. Iskin

We study low-lying collective modes of a horizontally elongated 87Rb condensate produced in a 3D magnetic harmonic trap with the addition of a 1D periodic potential which is provided by a laser standing-wave along the horizontal axis. While…

Soft Condensed Matter · Physics 2009-11-07 C. Fort , F. S. Cataliotti , L. Fallani , F. Ferlaino , P. Maddaloni , M. Inguscio

We investigate the dynamics of $N$ point vortices in the plane, in the limit of large $N$. We consider {\em relative equilibria}, which are rigidly rotating lattice-like configurations of vortices. These configurations were observed in…

Quantum Gases · Physics 2014-02-04 Yuxin Chen , Theodore Kolokolnikov , Daniel Zhirov

The formation of a regular lattice of quantized vortices in a fluid under rotation is a smoking-gun signature of its superfluid nature. Here we study the vortex lattice in a dilute superfluid gas of bosonic atoms at zero temperature along…

Quantum Gases · Physics 2018-06-13 S. K. Adhikari , L. Salasnich

We studied a rotating Bose-Einstein condensate confined in ring trap configurations that can be produced starting with a bubble trap confinement, approximated by a Mexican hat and shifted harmonic oscillator potentials. Using a variational…

Quantum Gases · Physics 2024-06-18 Guilherme Tomishiyo , Lucas Madeira , Mônica A. Caracanhas

Here we analyze the collective excitations as well as the expansion of a trapped Bose-Einstein condensate with a vortex line at its center. To this end, we propose a variational method where the variational parameters have to be carefully…

Quantum Gases · Physics 2014-02-11 R. P. Teles , V. S. Bagnato , F. E. A. dos Santos

Using scanning susceptibility microscopy, we shed new light on the dynamics of individual superconducting vortices and examine the hypotheses of the phenomenological models traditionally used to explain the macroscopic ac electromagnetic…

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