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Rotational Bose-Einstein condensates can exhibit quantized vortices as topological excitations. In this study, the ground and excited states of the rotational Bose-Einstein condensates are systematically studied by calculating the…

Quantum Gases · Physics 2023-12-05 Jianyuan Yin , Zhen Huang , Yongyong Cai , Qiang Du , Lei Zhang

The vortex phase diagram in the external rotation frequency versus temperature is calculated for dilute Bose-Einstein condensed gases. It is determined within the Bogoliubov-Popov theory for a finite temperature where the condensate and…

Soft Condensed Matter · Physics 2009-11-07 Takeshi Mizushima , Tomoya Isoshima , Kazushige Machida

The complete low-energy collective-excitation spectrum of vortex lattices is discussed for rotating Bose-Einstein condensates (BEC) by solving the Bogoliubov-de Gennes (BdG) equation, yielding, e.g., the Tkachenko mode recently observed at…

Soft Condensed Matter · Physics 2009-11-10 T. Mizushima , Y. Kawaguchi , K. Machida , T. Ohmi , T. Isoshima , M. M. Salomaa

We study the drag on an object moving through a trapped Bose-Einstein condensate, and show that finite compressibility leads to a mutual drag, which is subsequently suppressed by the formation of a vortex ring.

Statistical Mechanics · Physics 2009-10-31 B. Jackson , J. F. McCann , C. S. Adams

We consider a 2D rotating Bose gas described by the Gross-Pitaevskii (GP) theory and investigate the properties of the ground state of the theory for rotational speeds close to the critical speed for vortex nucleation. While one could…

Mathematical Physics · Physics 2013-06-26 Michele Correggi , Nicolas Rougerie

We investigate a shift in the critical temperature of rotating Bose-Einstein condensates mediated by the melting of the vortex lattice. Numerical simulations reveal that this temperature exhibits contrasting behavior depending on the system…

Quantum Gases · Physics 2024-12-10 Julian Amette Estrada , Marc E. Brachet , Pablo D. Mininni

In a rotating two-component Bose-Einstein condensate (BEC), the traditional triangular vortex lattice can be replaced by a rectangular vortex lattice or even a structure characterized in terms of vortex sheets, depending on the interspecies…

Other Condensed Matter · Physics 2008-01-23 S. J. Woo , S. Choi , L. O. Baksmaty , N. P. Bigelow

Rotation is a natural tool in ultracold gases to break time-reversal symmetry, yet its impact on the collective excitations of supersolids remains largely unexplored. We show theoretically that tuning the rotation frequency, rather than the…

Quantum Gases · Physics 2026-01-13 Malte Schubert , Koushik Mukherjee , Philipp Stürmer , Stephanie Reimann

We report a numerical study of turbulence and Bose-Einstein condensation within the two-dimmensional Gross-Pitaevski model with repulsive interaction. In presence of weak forcing localized around some wave number in the Fourier space, we…

Chaotic Dynamics · Physics 2015-06-26 Sergey Nazarenko , Miguel Onorato

We investigate how Bose-Einstein condensates, whose initial state is either irrotational or contains a single vortex, scatter off a one-dimensional Gaussian potential barrier. We find that for low atom densities the vortex structure within…

Other Condensed Matter · Physics 2009-11-11 A. M. Martin , R. G. Scott , T. M. Fromhold

We present a survey of macroscopic excitations of harmonically confined Bose-Einstein condensates (BEC), described by Gross-Pitaevskii (GP) equation, in search of routes to develop quantum turbulence. These excitations can all be created by…

Quantum Gases · Physics 2015-05-20 R. Zamora-Zamora , O. Adame-Arana , V. Romero-Rochín

One of the most remarkable recent developments in the study of ultracold Bose gases is the observation of a reversible transition from a Bose Einstein condensate to a state composed of localized atoms as the strength of a periodic, optical…

Statistical Mechanics · Physics 2008-09-23 M. Aizenman , E. H. Lieb , R. Seiringer , J. P. Solovej , J. Yngvason

Motivated by recent experiments on rotating Bose-Einstein condensates, we investigate a rotating, polarized Fermi gas trapped in an anharmonic potential. We apply a semiclassical expansion of the density of states in order to determine how…

Statistical Mechanics · Physics 2015-05-13 Kiel Howe , Aristeu R. P. Lima , Axel Pelster

The effects of small Lorentz-violating terms on Bose-Einstein condensates are analyzed. We find that there are changes to the phase and shape of the ground-state wave function that vary with the orientation of the trap. In addition,…

High Energy Physics - Phenomenology · Physics 2008-11-26 Don Colladay , Patrick McDonald

Spatiotemporal evolution of a confined Bose-Einstein condensate is studied by numerically integrating the time-dependent Gross-Pitaevskii equation. Self-interference between the successively expanding and reflecting nonlinear matter waves…

Superconductivity · Physics 2009-11-13 Shi-Jie Yang , Quan-Sheng Wu , Shiping Feng , Yu-Chuan Wen , Yue Yu

We simulate in the mean-field limit the effects of rotationally stirring a three-dimensional trapped Bose-Einstein condensate with a Gaussian laser beam. A single vortex cycling regime is found for a range of trap geometries, and is well…

Condensed Matter · Physics 2009-10-31 B. M. Caradoc-Davies , R. J. Ballagh , P. B. Blakie

We examine bosons hopping on a one-dimensional lattice in the presence of a random potential at zero temperature. Bogoliubov excitations of the Bose-Einstein condensate formed under such conditions are localized, with the localization…

Disordered Systems and Neural Networks · Physics 2008-11-14 V. Gurarie , G. Refael , J. T. Chalker

We present a method of adiabatically changing the local phase-space density of an ultracold gas, using a combination of magnetic and optical forces. Applying this method, we observe phase-space density increases in a gas of sodium atoms by…

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

Vortices were imprinted in a Bose-Einstein condensate using topological phases. Sodium condensates held in a Ioffe-Pritchard magnetic trap were transformed from a non-rotating state to one with quantized circulation by adiabatically…

Soft Condensed Matter · Physics 2009-11-07 A. E. Leanhardt , A. Görlitz , A. P. Chikkatur , D. Kielpinski , Y. Shin , D. E. Pritchard , W. Ketterle

Recent experimental advancements enabled the creation of various systems exhibiting superfluid behavior, with one notable achievement being the development of dipolar Bose-Einstein condensates (dBECs). When confined along one or more…

Quantum Gases · Physics 2025-07-17 Alberto Villois , Miguel Onorato , Davide Proment