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We use a simple model to describe the nonlinear dynamics of a dense two dimensional dipolar exciton gas. The model predicts an initial fast expansion due to dipole-dipole pressure, followed by a much slower diffusion. The model is in very…

Other Condensed Matter · Physics 2009-11-11 Ronen Rapaport , Gang Chen , Steven H. Simon

We consider the total density and spin density fluctuations of a uniform spin-1 Bose-Einstein condensate within the Bogoliubov formalism. We present results for the total density and spin density static structure factors for all four…

Quantum Gases · Physics 2014-06-02 L. M. Symes , D. Baillie , P. B. Blakie

We introduce a general approximate method for calculating the one-body correlations and the momentum distributions of one-dimensional Bose gases at finite interaction strengths and temperatures trapped in smooth confining potentials. Our…

Statistical Mechanics · Physics 2025-03-25 Attila Takács , Yicheng Zhang , Pasquale Calabrese , Jerôme Dubail , Marcos Rigol , Stefano Scopa

We develop a form factor approach to the study of dynamical correlation functions of quantum integrable models in the critical regime. As an example, we consider the quantum non-linear Schr\"odinger model. We derive long-distance/long-time…

Mathematical Physics · Physics 2017-03-17 N. Kitanine , K. K. Kozlowski , J. M. Maillet , N. A. Slavnov , V. Terras

The single-particle spectral function of a strongly correlated system is an essential ingredient to describe its dynamics and transport properties. We develop a general method to calculate the exact spectral function of a strongly…

Quantum Gases · Physics 2021-02-17 J. Settino , N. Lo Gullo , F. Plastina , A. Minguzzi

It is shown that previous arguments leading to the equality $z=d$ ($d$ being the spatial dimensionality) for the dynamical exponent describing the Bose glass to superfluid transition may break down, as apparently seen in recent simulations…

Disordered Systems and Neural Networks · Physics 2007-05-23 Peter B. Weichman , Ranjan Mukhopadhyay

We calculate the dispersion relation associated with a solitary wave in a quasi-one-dimensional Bose-Einstein condensate of atoms confined in a harmonic, cylindrical trap in the limit of weak and strong interactions. In both cases, the…

Condensed Matter · Physics 2009-11-07 A. D. Jackson , G. M. Kavoulakis

We report that the local Debye-Waller factor in a simulated 2D glass-forming mixture exhibits significant spatial heterogeneities and that these short time fluctuations provide an excellent predictor of the spatial distribution of the long…

Statistical Mechanics · Physics 2009-01-23 Asaph Widmer-Cooper , Peter Harrowell

In 1963, Lieb and Liniger solved exactly a one dimensional model of bosons interacting by a repulsive \delta-potential and calculated the ground state in the thermodynamic limit. In the present work, we extend this model to a potential of…

Quantum Gases · Physics 2016-02-17 Hagar Veksler , Shmuel Fishman

Diffusion phenomena in a multiple component lattice Boltzmann Equation (LBE) model are discussed in detail. The mass fluxes associated with different mechanical driving forces are obtained using a Chapman-Enskog analysis. This model is…

comp-gas · Physics 2009-10-28 Xiaowen Shan , Gary Doolen

By means of the Boltzmann-Vlasov kinetic equation we investigate dynamical properties of a trapped, one-component Fermi gas at zero temperature, featuring the anisotropic and long-range dipole-dipole interaction. To this end, we determine…

Quantum Gases · Physics 2017-10-13 F. Waechtler , A. R. P. Lima , A. Pelster

We present a generalized Gross-Pitaevskii equation that describes also the dissipative dynamics of a trapped partially Bose condensed gas. It takes the form of a complex nonlinear Schr\"odinger equation with noise. We consider an…

Statistical Mechanics · Physics 2007-05-23 M. J. Bijlsma , H. T. C. Stoof

We investigate dynamics in two-component Bose-Einstein condensates in the context of coupled Gross-Pitaevskii equations and derive results for the evolution of the total density fluctuations. Using these results, we show how, in many cases…

Other Condensed Matter · Physics 2009-11-10 Zachary Dutton , Charles W. Clark

We investigate the elementary excitations of charge and spin degrees for the 1D interacting two-component Bose and Fermi gases by means of the discrete Bethe ansatz equations. Analytic results in the limiting cases of strong and weak…

Statistical Mechanics · Physics 2007-05-23 M. T. Batchelor , M. Bortz , X. W. Guan , N. Oelkers

We investigate the dimensionally induced phase transition from the normal to the Bose-Einstein-condensed phase for a weakly interacting Bose gas in an optical lattice. To this end we make use of the Hartree-Fock-Bogoliubov-Popov theory,…

Quantum Gases · Physics 2017-04-19 Bernhard Irsigler , Axel Pelster

We present a systematic study of dilute three-dimensional dipolar Bose gas employing a finite temperature perturbation theory (beyond the mean field). We analyze in particular the behavior of the anomalous density, we find that this…

Quantum Gases · Physics 2015-01-15 Abdelaali Boudjemaa

Diffusion rates are calculated on the basis of van Hove's formula for the dynamical structure factor (DSF) related to particle scattering at mobile adsorbates. The formula is evaluated quantum mechanically using eigenfunctions obtained from…

Chemical Physics · Physics 2020-02-25 Thiago Firmino , Roberto Marquardt , Fabien Gatti , Wei Dong

We report on a novel structural Superfluid-Mott Insulator (SF-MI) quantum phase transition for an interacting one-dimensional Bose gas within permeable multi-rod lattices, where the rod lengths are varied from zero to the lattice period…

Quantum Gases · Physics 2021-01-12 Omar Abel Rodríguez-López , M. A. Solís , J. Boronat

By using a sum rule approach we investigate the transition between the hydrodynamic and the collisionless regime of the collective modes in a 1D harmonically trapped Bose gas. Both the weakly interacting gas and the Tonks-Girardeau limits…

Quantum Gases · Physics 2016-12-08 Giulia De Rosi , Sandro Stringari

Classical MD data on the charge-charge dynamic structure factor of two-component plasmas (TCP) modeled in Phys. Rev. A 23, 2041 (1981) are analyzed using the sum rules and other exact relations. The convergent power moments of the imaginary…