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We propose a versatile variational method to investigate the spatio-temporal dynamics of one-dimensional magnetically-trapped Bose-condensed gases. To this end we employ a \emph{q}-Gaussian trial wave-function that interpolates between the…

Other Condensed Matter · Physics 2010-12-10 Alexandru I. Nicolin , R. Carretero-Gonzalez

We quantize the recent hydrodynamic analysis of Stringari for the low-energy collective modes of a trapped Bose gas at $T=0$. This is based on the time-dependent Gross-Pitaevskii equation, but omits the kinetic energy of the density…

Condensed Matter · Physics 2009-10-28 Wen-Chin Wu , A. Griffin

We analyze the effect of a linear time-variation of the interaction strength on a trapped one-dimensional Bose gas confined to an optical lattice. The evolution of different observables such as the experimentally accessible onsite particle…

Quantum Gases · Physics 2011-08-09 Jean-Sebastien Bernier , Guillaume Roux , Corinna Kollath

We calculate the breathing mode frequency $\omega$ in a one-dimensional Bose gas confined to a harmonic trap of frequency $\omega_z$. We predict Exciting temporal oscillations of the density distribution is a high-precision method for…

Quantum Gases · Physics 2015-08-12 A. Iu. Gudyma , G. E. Astrakharchik , Mikhail B. Zvonarev

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

We measure the power spectrum of the density distribution of a freely expanding 2D degenerate Bose gas, where irregular density modulations gradually develop due to the initial phase fluctuations in the sample. The spectrum has an…

Quantum Gases · Physics 2013-04-02 Jae-yoon Choi , Sang Won Seo , Woo Jin Kwon , Yong-il Shin

Critical dynamics of an ultracold Bose gas far from equilibrium is studied in two spatial dimensions. Superfluid turbulence is created by quenching the equilibrium state close to zero temperature. Instead of immediately re-thermalizing, the…

Quantum Gases · Physics 2012-08-07 Jan Schole , Boris Nowak , Thomas Gasenzer

This paper reports the model free determination of the two-fluid dynamics in a trapped two-dimensional Bose gas, relying on a local principal component analysis of the dynamics after a sudden excitation.

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

The dynamics of collapsing and exploding trapped Bose-Einstein condensat es caused by a sudden switch of interactions from repulsive to attractive a re studied by numerically integrating the Gross-Pitaevskii equation with atomic loss for an…

Condensed Matter · Physics 2016-08-31 Hiroki Saito , Masahito Ueda

We study the properties of a dilute Bose condensed gas at zero temperature in the presence of a strong random potential with arbitrary correlation length. Starting from the underlying Gross-Pitaevskii equation, we use the random phase…

Disordered Systems and Neural Networks · Physics 2015-06-25 Patrick Navez , Axel Pelster , Robert Graham

We discuss dissipative dynamics of a vortex state in a trapped Bose-condensed gas at finite temperature and draw a scenario of decay of this state in a static trap. The interaction of the vortex with the thermal cloud transfers energy from…

Soft Condensed Matter · Physics 2009-10-31 P. O. Fedichev , G. V. Shlyapnikov

We have studied a Bose-Einstein condensate of $^{87}Rb$ atoms under an oscillatory excitation. For a fixed frequency of excitation, we have explored how the values of amplitude and time of excitation must be combined in order to produce…

We simulate the dissipative evolution of a vortex in a trapped finite-temperature dilute-gas Bose-Einstein condensate using first-principles open-systems theory. Simulations of the complete stochastic projected Gross-Pitaevskii equation for…

Quantum Gases · Physics 2016-06-08 S. J. Rooney , A. J. Allen , U. Zülicke , N. P. Proukakis , A. S. Bradley

We analyze free expansion of a trapped one-dimensional Bose gas after a sudden release from the confining trap potential. By using the stationary phase and local density approximations, we show that the long-time asymptotic density profile…

Quantum Gases · Physics 2015-03-31 A. S. Campbell , D. M. Gangardt , K. V. Kheruntsyan

The burgeoning field of Bose-Einstein condensation in dilute alkali and hydrogen gases has stimulated a great deal of research into the statistical physics of weakly interacting quantum degenerate systems. The recent experiments offer the…

Condensed Matter · Physics 2009-10-31 J. E. Williams , M. J. Holland

We present a numerical study of the time-dependent and time-independent Gross-Pitaevskii (GP) equation in two space dimensions, which describes the Bose-Einstein condensate of trapped bosons at ultralow temperature with both attractive and…

Soft Condensed Matter · Physics 2009-10-31 Sadhan K. Adhikari

We investigate the evolution of Bose-Einstein condensates falling under gravity and bouncing off a mirror formed by a far-detuned sheet of light. After reflection, the atomic density profile develops splitting and interference structures…

Condensed Matter · Physics 2009-10-31 K. Bongs , S. Burger , G. Birkl , K. Sengstock , W. Ertmer , K. Rzazewski , A. Sanpera , M. Lewenstein

By quenching the strength of interactions in a partially condensed Bose gas we create a "super-saturated" vapor which has more thermal atoms than it can contain in equilibrium. Subsequently, the number of condensed atoms ($N_0$) grows even…

We present a numerical study of the coupled time-dependent Gross-Pitaevskii equation, which describes the Bose-Einstein condensate of several types of trapped bosons at ultralow temperature with both attractive and repulsive interatomic…

Soft Condensed Matter · Physics 2009-11-07 Sadhan K. Adhikari