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Quantum vortices in atomic Bose-Einstein condensates (BECs) are topological defects characterized by quantized circulation of particles around them. In experimental studies, vortices are commonly detected by time-of-flight imaging, where…

Quantum Gases · Physics 2023-10-31 Myeonghyeon Kim , Junhwan Kwon , Tenzin Rabga , Yong-il Shin

We present a variational solution of the Langevin field equation describing the nonequilibrium dynamics of a harmonically trapped Bose-Einstein condensate. If the thermal cloud remains in equilibrium at all times, we find that the equation…

Statistical Mechanics · Physics 2009-11-07 R. A. Duine , H. T. C. Stoof

Supersolidity in a dipolar Bose-Einstein condensate (BEC), which is the coexistence of crystalline density modulation and global phase coherence, emerges from the interplay of contact interactions, long-range dipole-dipole forces, and…

Quantum Gases · Physics 2025-10-29 Changjian Yu , Jinbin Li , Kui-Tian Xi

Recently, we presented a new numerical scheme for vortex lattice formation in a rotating Bose-Einstein condensate (BEC) using smoothed particle hydrodynamics (SPH) with an explicit time-integrating scheme; our SPH scheme could reproduce the…

Computational Physics · Physics 2024-09-04 Satori Tsuzuki , Eri Itoh , Katsuhiro Nishinari

We study the dynamics of small vortex clusters with few (2--4) co-rotating vortices in Bose-Einstein condensates by means of experiments, numerical computations, and theoretical analysis. All of these approaches corroborate the…

Dynamical vortex production and quantum turbulence emerging in periodic perturbed quasi-two-dimensional (q2D) Bose-Einstein condensates are reported by considering two distinct time-dependent approaches. In both cases, dynamical simulations…

Quantum Gases · Physics 2024-01-19 L. Tomio , A. N. da Silva , S. Sabari , R. Kishor Kumar

We introduce a time-dependent projected Gross-Pitaevskii equation to describe a partially condensed homogeneous Bose gas, and find that this equation will evolve randomised initial wave functions to equilibrium. We compare our numerical…

Condensed Matter · Physics 2009-10-31 M. J. Davis , S. A. Morgan , K. Burnett

A two-dimensional rapidly rotating Bose-Einstein condensate in a harmonic plus quartic trap is expected to have unusual vortex states that do not occur in a pure harmonic trap. At a critical rotation speed $\Omega_h$, a central hole appears…

Other Condensed Matter · Physics 2009-11-11 Jong-kwan Kim , Alexander L. Fetter

We numerically investigate vortex lattices in rotating two-component Bose-Einstein condensates in which the two components have unequal atomic masses and interact attractively with each other. For sufficiently strong attraction, the system…

Quantum Gases · Physics 2012-06-13 Pekko Kuopanportti , Jukka A. M. Huhtamäki , Mikko Möttönen

Based on the method of matched asymptotic expansion and on a time-dependent variational analysis, we study the dynamics of a vortex in the large-condensate (Thomas-Fermi) limit. Both methods as well as an analytical solution of the…

Statistical Mechanics · Physics 2007-05-23 Anatoly A. Svidzinsky , Alexander L. Fetter

Vortex lattices -- highly ordered arrays of vortices -- are known to arise in quantum systems such as type II superconductors and Bose-Einstein condensates. More recently, similar arrangements have been reported in classical rotating…

Fluid Dynamics · Physics 2025-10-09 Julián Amette Estrada , Alexandros Alexakis , Marc E. Brachet , Pablo D. Mininni

The dynamics of Bose-Einstein condensate (BEC) is studied at nonzero temperatures using our variational time-dependent-HFB formalism. We have shown that this approach is an efficient tool to study the expansion and collective excitations of…

Quantum Gases · Physics 2013-08-29 Abdelâali Boudjemâa

We construct a fully self-consistent non-equilibrium theory for the dynamics of two interacting finite-temperature atomic Bose-Einstein condensates. The condensates are described by dissipative Gross-Pitaevskii equations, coupled to quantum…

Quantum Gases · Physics 2015-01-15 M. J. Edmonds , K. L. Lee , N. P. Proukakis

We consider a periodic vortex lattice in a rotating Bose-Einstein condensed gas, where the centrifugal potential is exactly compensated by the external harmonic trap. By introducing a gauge transformation which makes the Hamiltonian…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 M. Cozzini , S. Stringari , C. Tozzo

We propose an experimentally relevant scheme to create stable solitons in a three-dimensional Bose-Einstein condensate confined by a one-dimensional optical lattice, using temporal modulation of the scattering length (through ac magnetic…

Quantum Physics · Physics 2007-05-23 M. Trippenbach , M. Matuszewski , B. A. Malomed

The moment method is applied to the quantum theory for a trapped dilute gas, obtaining equations for the evolution of the cloud. These equations proof the existence of undamped oscillations in a two-dimensional harmonic trap with radial…

Condensed Matter · Physics 2007-05-23 Juan Jose Garcia-Ripoll

Boundaries strongly affect the behavior of quantized vortices in Bose-Einstein condensates, a phenomenon particularly evident in elongated cigar-shaped traps where vortices tend to orient along a short direction to minimize energy.…

Quantum Gases · Physics 2017-11-03 R. N. Bisset , S. Serafini , E. Iseni , M. Barbiero , T. Bienaimé , G. Lamporesi , G. Ferrari , F. Dalfovo

The mode structure of a Bose-Einstein condensate non-adiabatically loaded into a one-dimensional optical lattice is studied by analyzing the visibility of the interference pattern as well as the radial profile of the condensate after a…

Soft Condensed Matter · Physics 2009-11-07 O. Morsch , J. H. Müller , D. Ciampini , M. Cristiani , P. B. Blakie , C. J. Williams , P. S. Julienne , E. Arimondo

We present a theoretical study of vortices within a harmonically trapped Bose-Einstein condensate in a rotating optical lattice. We find that proximity to the Mott insulating state dramatically effects the vortex structures. To illustrate…

Other Condensed Matter · Physics 2009-11-13 Daniel S. Goldbaum , Erich J. Mueller

The structure and stability of vortices in hybrid atomic-molecular Bose-Einstein condensates is analyzed in the framework of a two-component Gross-Pitaevskii-type model that describes the stimulated Raman-induced photoassociation process.…

Condensed Matter · Physics 2009-11-07 Tristram J. Alexander , Yuri S. Kivshar , Elena A. Ostrovskaya , Paul S. Julienne
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