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The compressibility of a medium, quantifying its response to mechanical perturbations, is a fundamental property determined by the equation of state. For gases of material particles, studies of the mechanical response are well established,…

The process of exciting the gas of trapped bosons from an equilibrium initial state to strongly nonequilibrium states is described as a procedure of symmetry restoration caused by external perturbations. Initially, the trapped gas is cooled…

Quantum Gases · Physics 2015-06-16 V. S. Bagnato , V. I. Yukalov

A simple model of an atomic Bose-Einstein condensate in a box whose size varies with time is studied to determine the nature of adiabaticity in the nonlinear dynamics obtained within the Gross-Pitaevskii equation (the nonlinear…

Soft Condensed Matter · Physics 2007-05-23 Yehuda B. Band , Boris Malomed , Marek Trippenbach

Motivated by recent experiments, we model the dynamics of a condensed Bose gas in a rotating anisotropic trap, where the equations of motion are analogous to those of charged particles in a magnetic field. As the rotation rate is ramped…

Quantum Gases · Physics 2022-02-09 Vaibhav Sharma , Erich J Mueller

Nonlinear dynamics of a trapped Bose-Einstein condensate, subject to the action of a resonant external field, is studied. This field produces a spatio-temporal modulation of the trapping potential with the frequency close to the transition…

Condensed Matter · Physics 2015-06-24 V. I. Yukalov , E. P. Yukalova , V. S. Bagnato

We have studied the properties of the scissors mode of a trapped Bose-Einstein condensate of $^{87}$Rb atoms at finite temperature. We measured a significant shift in the frequency of the mode below the hydrodynamic limit and a strong…

Soft Condensed Matter · Physics 2009-11-07 Onofrio Marago' , Gerald Hechenblaikner , Eleanor Hodby , Christopher Foot

In the domain of quantum degenerate atomic gases, much interest has been raised recently by the use of Lanthanide atoms with large magnetic moments, in particular Dysprosium and Erbium. These species have been successfully brought to…

We have created a Bose-Einstein condensate whose spin orientation is metastable. Condensates were transferred into a quadrupole magnetic trap, where Majorana transitions limited the lifetime to a few hundred milliseconds, about 30 times the…

Other Condensed Matter · Physics 2013-06-10 D. S. Naik , S. R. Muniz , C. Raman

The population dynamics of a trapped Bose-Einstein condensate, subject to the action of an oscillatory field, is studied. This field produces a modulation of the trapping potential with the frequency close to the transition frequency…

Condensed Matter · Physics 2007-05-23 V. I. Yukalov , E. P. Yukalova , V. S. Bagnato

We study the time evolution of weakly interacting Bose gases on a three-dimensional torus of arbitrary volume. The coupling constant is supposed to be inversely proportional to the density, which is considered to be large and independent of…

Mathematical Physics · Physics 2025-12-12 Daniele Ferretti , Kalle Koskinen

We discuss the quantum phase transition from the Mott-insulator state to the density-wave state for cold Bose atoms in a 2D square lattice as the lattice is adiabatically tilted along one of its primary axes. It is shown that a small…

Strongly Correlated Electrons · Physics 2016-03-23 Andrey R. Kolovsky

A Bose-Einstein condensate of cold atoms is a superfluid and thus responds to rotation of its container by the nucleation of quantized vortices. If the trapping potential is su ciently strong, there is no theoretical limit to the rotation…

Quantum Gases · Physics 2019-10-01 Michele Correggi , Florian Pinsker , Nicolas Rougerie , Jakob Yngvason

We investigate how the presence of a localized impurity in a Bose-Einstein condensate of trapped cold atoms that interact with each other weakly and repulsively affects the profile of the condensed and excited components at zero…

Quantum Gases · Physics 2019-09-04 Junichi Takahashi , Ryosuke Imai , Eiji Nakano , Kei Iida

We study the properties of the vortex state of a trapped Bose gas in the large-gas-parameter regime. To test validity of the Gross-Pitaevskii theory in this regime for the vortex states we compare the results of the Gross-Pitaevskii and the…

Other Condensed Matter · Physics 2009-11-11 Arup Banerjee , Manoranjan P. Singh

We consider a two-dimensional Bose gas formed in a planar atomic trap in conditions where the two-dimensional scattering length exceeds all other microscopic length scales in the system and, accordingly, the gas parameter assumes relatively…

Condensed Matter · Physics 2007-05-23 Ludovic Pricoupenko , Maxim Olshanii

A bosonic analogue of the fractional quantum Hall eff ect occurs in rapidly rotating trapped Bose gases: There is a transition from uncorrelated Hartree states to strongly correlated states such as the Laughlin wave function. This physics…

Mathematical Physics · Physics 2015-06-12 Nicolas Rougerie , Sylvia Serfaty , Jakob Yngvason

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 report experimental results on the dynamics and phase evolution of Bose-Einstein condensates in 1D optical lattices. The dynamical behaviour is studied by adiabatically loading the condensate into the lattice and subsequently switching…

Condensed Matter · Physics 2007-05-23 O. Morsch , M. Cristiani , J. H. Müller , D. Ciampini , E. Arimondo

Magnetically-trapped atoms in Bose-Einstein condensates are spin polarized. Since the magnetic field is inhomogeneous, the atoms aquire Berry phases of the Aharonov-Bohm type during adiabatic motion. In the presence of an eletric field…

Condensed Matter · Physics 2009-11-07 J. M. Kailasvuori , T. H. Hansson , G. M. Kavoulakis

We consider a system of bosonic atoms in an axially symmetric harmonic trap augmented with a two dimensional repulsive Gaussian optical potential. We find an expression for the grand free energy of the system for configurations ranging from…

Statistical Mechanics · Physics 2009-06-11 A. S. Bradley