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We explore quantum many-body physics of a driven Bose-Einstein condensate in optical lattices. The laser field induces a gap in the generalized Bogoliubov spectrum proportional to the effective Rabi frequency. The lowest lying modes in a…

Quantum Gases · Physics 2018-04-11 Gavriil Shchedrin , Daniel Jaschke , Lincoln D. Carr

We here develop a theory on optical absorption in a dilute Bose gas at low temperatures. This theory is motivated by the Bogoliubov theory of elementary excitations for this system, and takes into account explicitly the modification of the…

Atomic Physics · Physics 2007-05-23 S. -K. Yip

We investigate the zero-temperature phase diagram of interacting Bose gases in the presence of a simple cubic optical lattice, going beyond the regime where the mapping to the single-band Bose-Hubbard model is reliable. Our computational…

Quantum Gases · Physics 2013-05-30 S. Pilati , M. Troyer

We investigate the propagation of density-wave packets in a Bose-Hubbard model using the adaptive time-dependent density-matrix renormalization group method. We discuss the decay of the amplitude with time and the dependence of the velocity…

Other Condensed Matter · Physics 2009-11-10 C. Kollath , U. Schollwöck , J. von Delft , W. Zwerger

The particle distribution in a Bose condensate under the trapping potential and its time evolution after switching off the trapping potential suddenly are calculated. We investigate the problem from the viewpoint of quantum field…

Condensed Matter · Physics 2007-05-23 Koichi Nakamura , Yoshiya Yamanaka

We consider an atomic Bose-Einstein condensate held within an optical cavity and interacting with laser fields. We show how the interaction of the cavity mode with the condensate can cause energy due to excitations to be coupled to a lossy…

Condensed Matter · Physics 2009-10-31 S. A. Gardiner , K. M. Gheri , P. Zoller

We develop the Hartree-Fock-Bogoliubov theory at finite temperature for Bose gas trapped in the two dimensional optical lattices. The on-site energy is considered low enough that the gas presents superfluid properties. We obtain the…

Quantum Gases · Physics 2015-05-11 M. O. C. Pires , E. J. V. de Passos

We present the zero-temperature phase diagram of bosonic atoms in an optical lattice, using two different mean-field approaches. The phase diagram consists of various insulating phases and a superfluid phase. We explore the nature of the…

Statistical Mechanics · Physics 2014-10-13 D. van Oosten , P. van der Straten , H. T. C. Stoof

We analyze the decay of ultracold atoms from an optical lattice with loss form a single lattice site. If the initial state is dynamically stable a suitable amount of dissipation can stabilize a Bose-Einstein condensate, such that it remains…

Quantum Gases · Physics 2013-07-08 Georgios Kordas , Sandro Wimberger , Dirk Witthaut

We investigate the zero-temperature collective excitations of a Bose-condensed atomic gas in anisotropic parabolic traps. The condensate density is determined by solving the Gross-Pitaevskii (GP) equation using a spherical harmonic…

Condensed Matter · Physics 2009-10-30 D. A. W. Hutchinson , E. Zaremba

It is shown for the Bose-Einstein condensate of cold atomic system that the new unperturbed Hamiltonian, which includes not only the first and second powers of the zero mode operators but also the higher ones, determines a unique and…

Quantum Gases · Physics 2014-01-21 Yusuke Nakamura , Junichi Takahashi , Yoshiya Yamanaka

We consider a two-component Bose-Einstein condensate in a one-dimensional optical cavity. Specifically, the condensate atoms are taken to be in two degenerate modes due to their internal hyperfine spin degrees of freedom and they are…

Quantum Gases · Physics 2016-08-14 Shabnam Safaei , Özgur Esat Müstecaplıoğlu , Bilal Tanatar

We apply the Bogoliubov inequality to the Bose-Hubbard model to rule out the possibility of Bose-Einstein condensation. The result holds in one and two dimensions, for any filling at any nonzero temperature. This result can be considered as…

Mathematical Physics · Physics 2020-12-02 Piotr Stachura , Wiesław Pusz , Jacek Wojtkiewicz

We use the Gross-Pitaevskii equation to determine the spatial structure of the condensate density of interacting bosons whose energy dispersion epsilon_k has two degenerate minima at finite wave-vectors q. We show that in general the…

Quantum Gases · Physics 2011-01-14 Johannes Hick , Francesca Sauli , Andreas Kreisel , Peter Kopietz

We study properties of excited states of an array of weakly coupled quasi-two-dimensional Bose condensates by using the hydrodynamic theory. The spectrum of the axial excited states strongly depends on the coupling among the various…

Other Condensed Matter · Physics 2016-08-31 Tarun Kanti Ghosh , K. Machida

We investigate the time evolution of a Bose-Einstein condensate in a periodic optical potential. Using an effective mass formalism, we study the equation of motion for the envelope function modulating the Bloch states of the lattice…

Soft Condensed Matter · Physics 2009-11-07 H. Pu , L. O. Baksmaty , W. Zhang , N. P. Bigelow , P. Meystre

We briefly review the theory of Bose-Einstein condensation in the two-dimensional trapped Bose gas and, in particular the relationship to the theory of the homogeneous two-dimensional gas and the Berezinskii-Kosterlitz-Thouless phase. We…

Statistical Mechanics · Physics 2009-11-11 D. A. W. Hutchinson , P. B. Blakie

We present a 1D effective model for the evolution of a cigar-shaped Bose-Einstein condensate in time dependent potentials whose radial component is harmonic. We apply this model to investigate the dynamics and expansion of condensates in 1D…

Condensed Matter · Physics 2009-11-07 Pietro Massignan , Michele Modugno

A rotating, two-component Bose-Einstein condensate is shown to exhibit vortices of multiple quantization, which are possible due to the interatomic interactions between the two species. Also, persistent currents are absent in this system.…

Mesoscale and Nanoscale Physics · Physics 2015-05-13 J. Christensson , S. Bargi , K. Karkkainen , Y. Yu , G. M. Kavoulakis , M. Manninen , S. M. Reimann

We study the extended Bose--Hubbard model describing an ultracold gas of dipolar molecules in an optical lattice, taking into account all on-site and nearest-neighbor interactions, including occupation-dependent tunneling and pair tunneling…

Quantum Gases · Physics 2013-04-10 Tomasz Sowiński , Omjyoti Dutta , Philipp Hauke , Luca Tagliacozzo , Maciej Lewenstein