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We study the dynamics of a quantum or classical particle in a two-dimensional rotating anisotropic harmonic potential. By a sequence of symplectic transformations for constant rotation velocity we find uncoupled normal generalized…

Quantum Physics · Physics 2019-10-23 I. Lizuain , A. Tobalina , A. Rodriguez-Prieto , J. G. Muga

We study rotational motion of an interacting atomic Bose-Einstein condensate confined in a quadratic-plus-quartic potential. We calculate the lowest energy surface mode frequency and show that a symmetric trapped (harmonic and quartic)…

Soft Condensed Matter · Physics 2007-05-23 Tarun Kanti Ghosh

We study a harmonically-confined Bose-Einstein condensate under rotation. Vortex lattice configurations are investigated through a variational approach. Vortices with more than a unit of angular momentum are not stable. We explicitly show…

Condensed Matter · Physics 2009-11-07 V. Subrahmanyam

The angular momentum of rotating superfluid droplets originates from quantized vortices and capillary waves, the interplay between which remains to be uncovered. Here, the rotation of isolated sub-micrometer superfluid 4He droplets is…

It is well-known that a rotating Bose-Einstein condensate forms vortices to carry the angular momentum. For a first vortex to nucleate at the trap center, the rotational frequency must become larger than a certain critical value. The vortex…

Quantum Gases · Physics 2020-01-08 G. Eriksson , J. Bengtsson , G. M. Kavoulakis , S. M. Reimann

We theoretically examine the rotation of an atomic Bose-Einstein condensate in an elliptical trap, both in the absence and presence of a quantized vortex. Two methods of introducing the rotating potential are considered - adiabatically…

Other Condensed Matter · Physics 2009-11-13 I. Corro , N. G. Parker , A. M. Martin

Ensembles of elongated magnetic droplets in a rotating field are studied experimentally. In a given range of field strength and frequency the droplets form rotating structures with a triangular order - rotating crystals. A model is…

Soft Condensed Matter · Physics 2020-03-18 Andris P. Stikuts , Régine Perzynski , Andrejs Cēbers

The rotation of a quantum liquid induces vortices to carry angular momentum. When the system is composed of multiple components that are distinguishable from each other, vortex cores in one component may be filled by particles of the other…

Mesoscale and Nanoscale Physics · Physics 2008-12-18 H. Saarikoski , A. Harju , J. Christensson , S. Bargi , M. Manninen , S. M. Reimann

We review some recent developments in the theory of rotating atomic gases. These studies have thrown light on the process of nucleation of vortices in regimes where mean-field methods are inadequate. In our review we shall describe and…

Quantum Gases · Physics 2010-03-31 Andreas Nunnenkamp , Ana Maria Rey , Keith Burnett

Two particles that are entangled with respect to continuous variables such as position and momentum exhibit a variety of nonclassical features. First, measurement of one particle projects the other particle into the state that is the…

Quantum Physics · Physics 2007-05-23 Seth Lloyd , Jeffrey H. Shapiro , N. C. Wong

Using density functional theory, we have theoretically studied the formation and the stability of vortices in quantum liquid droplets composed of a mixture of hyperfine states of potassium. Following the experimental setup that produced…

Quantum Gases · Physics 2025-11-17 Ivan Poparić , Leandra Vranješ Markić , Jordi Boronat

A rapidly rotating Bose gas in the quantum Hall limit is usually associated with a melted vortex lattice. In this work, we report a self-bound and visible triangular vortex lattice without melting for a two-dimensional Bose-Bose droplet…

Quantum Gases · Physics 2023-12-13 Qi Gu , Xiaoling Cui

Bose gases in rotating optical lattices combine two important topics in quantum physics: superfluid rotation and strong correlations. In this paper, we examine square two-dimensional systems at zero temperature comprised of strongly…

Statistical Mechanics · Physics 2009-11-11 Rajiv Bhat , B. M. Peden , B. T. Seaman , M. Kramer , L. D. Carr , M. J. Holland

The rotational properties of a mixture of two distinguishable Bose gases that are confined in a ring potential provide novel physical effects that we demonstrate in this study. Persistent currents are shown to be stable for a range of the…

Quantum Gases · Physics 2015-05-13 J. Smyrnakis , S. Bargi , G. M. Kavoulakis , M. Magiropoulos , K. Kärkkäinen , S. M. Reimann

The fundamental mode of rotation in quantum fluids is given by a vortex, whose quantized value yields the orbital angular momentum (OAM) per particle. If the vortex is displaced (off-centered) from the reference point for rotation, the…

We introduce a novel type of self-bound droplet which carries an emergent color charge. We consider a system of particles hopping on a lattice and interacting via a commensurately sign-changing potential which is attractive at a short…

Statistical Mechanics · Physics 2019-12-11 P. Karpov , F. Piazza

Self-bound quantum droplets are a newly discovered phase in the context of ultracold atoms. In this work we report their experimental realization following the original proposal by Petrov [Phys. Rev. Lett. 115, 155302 (2015)], using an…

We solve the problem of a few electrons in a two-dimensional harmonic confinement using quantum mechanical exact diagonalization technique, on one hand, and classical mechanics, on the other hand. The quantitative agreement between the…

Mesoscale and Nanoscale Physics · Physics 2015-06-25 J. -P. Nikkarila , M. Manninen

In this review, we give an overview of the experimental and theoretical advances in the physics of quantized vortices in dilute atomic-gas Bose--Einstein condensates in a trapping potential, especially focusing on experimental research…

Other Condensed Matter · Physics 2009-07-10 Kenichi Kasamatsu , Makoto Tsubota

We investigate the 2D weakly interacting Bose-Einstein condensate in a rotating trap by the tools of quantum information theory. The critical exponents of the ground state fidelity susceptibility and the correlation length of the system are…

Quantum Gases · Physics 2009-12-04 Zhao Liu , Hongli Guo , Shu Chen , Heng Fan