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We calculate the effect of quantum noise in supersonic transport of Bose-Einstein condensates. When an obstacle obstructs the flow of atoms, quantum fluctuations cause atoms to be scattered incoherently into random directions. This…

Other Condensed Matter · Physics 2009-11-13 R. G. Scott , D. A. W. Hutchinson

We study the density modulation that appears in a Bose-Einstein condensate flowing with supersonic velocity against an obstacle. The experimental density profiles observed at JILA are reproduced by a numerical integration of the…

Other Condensed Matter · Physics 2015-06-25 I. Carusotto , S. X. Hu , L. A. Collins , A. Smerzi

In this work, we investigate the mean-field limit of a model consisting in $m \geq 1 $ tracer particles, coupled to an interacting boson field. We assume the mass of the tracer particles and the expected number of bosons to be of the same…

Mathematical Physics · Physics 2021-08-18 Esteban Cárdenas

We study the Bose-Einstein condensation of an interacting gas with attractive interaction confined in a harmonic trap using a semiclassical two-fluid mean-field model. The condensed state is described by converged numerical solution of the…

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

The Bose-Hubbard Hamiltonian capturing the essential physics of the arrays of interacting Bose-Einstein condensates is addressed, focusing on arrays consisting of two (dimer) and three (trimer) sites. In the former case, some results…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 P. Buonsante , R. Franzosi , V. Penna

We study the dynamics of the mean field model of a Bose-Einstein condensed atom cloud in a parametrically forced trap by using analytical and numerical techniques. The dynamics is related to a classical Mathieu oscillator in a singular…

Condensed Matter · Physics 2008-11-10 J. J. Garcia-Ripoll , V. M. Perez-Garcia

Pion condensation in ultra-relativistic collisions presents a compelling theoretical phenomenon with significant implications for the dynamics of hadronic matter. Various theoretical frameworks offer insight into the nature of…

High Energy Physics - Phenomenology · Physics 2025-10-28 Kshitish Kumar Pradhan , Dushmanta Sahu , Captain R. Singh , Raghunath Sahoo

We study the collision dynamics of two Bose-Einstein condensates with their dynamical wave functions modeled by a set of coupled, time-dependent Gross-Pitaevskii equations. Beginning with an effective one-dimensional system, we identify…

Quantum Gases · Physics 2022-03-22 Aaron Wirthwein , Stephan Haas , Sheng-wey Chiow

We study the flow of a weakly-interacting Bose-Einstein condensate around an obstacle by numerical solution of the Gross-Pitaevskii equation. We observe vortex emission and the formation of bow waves leading to pressure drag. We compare the…

Statistical Mechanics · Physics 2009-10-31 T. Winiecki , J. F. McCann , C. S. Adams

We consider the dynamics of a heavy quantum tracer particle coupled to a non-relativistic boson field in ${\mathbb R}^3$. The pair interactions of the bosons are of mean-field type, with coupling strength proportional to $\frac1N$ where $N$…

Mathematical Physics · Physics 2019-01-28 Thomas Chen , Avy Soffer

We discuss Bose-Einstein condensation in a trapped gas of bosonic particles interacting dominantly via dipole-dipole forces. We find that in this case the mean-field interparticle interaction and, hence, the stability diagram are governed…

Condensed Matter · Physics 2009-10-31 L. Santos , G. V. Shlyapnikov , P. Zoller , M. Lewenstein

Using a powerful combination of projection-operator method and path-space response theory, we derive the fluctuation dynamics of a slow inertial probe coupled to a steady nonequilibrium medium under the assumption of time-scale separation.…

Statistical Mechanics · Physics 2025-04-24 Ji-Hui Pei , Christian Maes

We have studied the internal and external dynamics of a Bose-Einstein condensate in an anharmonic magnetic waveguide. An oscillating condensate experiences a strong coupling between the center of mass motion and the internal collective…

Statistical Mechanics · Physics 2009-11-07 H. Ott , J. Fortágh , S. Kraft , A. Günther , D. Komma , C. Zimmermann

This paper employs a Bose-Einstein condensates to simulate the dynamical response of bound electrons in a strongly oscillating pulsed laser field. We investigate the excitation dynamics of Bose-Einstein condensates with repulsive…

Quantum Gases · Physics 2026-02-09 Ziheng Ma , Jia Li , Rui Jin , Yajiang Hao

We present a variational solution of the Langevin field equation describing the nonequilibrium dynamics of a harmonically trapped Bose-Einstein condensate. If the thermal cloud remains in equilibrium at all times, we find that the equation…

Statistical Mechanics · Physics 2009-11-07 R. A. Duine , H. T. C. Stoof

In this work, we study the quantum fluctuation dynamics in a Bose gas on a torus $\Lambda=(L\mathbb{T})^3$ that exhibits Bose-Einstein condensation, beyond the leading order Hartree-Fock-Bogoliubov (HFB) fluctuations. Given a Bose-Einstein…

Mathematical Physics · Physics 2023-09-12 Thomas Chen , Michael Hott

We study the time evolution of an initially trapped weakly interacting Bose gas at positive temperature, after the trapping potential has been switched off. It has been recently shown in arXiv:2009.00992 that the one-particle density matrix…

Mathematical Physics · Physics 2025-05-08 Marco Caporaletti , Andreas Deuchert , Benjamin Schlein

We study controllable friction in a system consisting of a dark soliton in a one-dimensional Bose-Einstein condensate coupled to a non-interacting Fermi gas. The fermions act as impurity atoms, not part of the original condensate, that…

Quantum Gases · Physics 2017-05-08 Hilary M. Hurst , Dmitry K. Efimkin , I. B. Spielman , Victor Galitski

The dynamical evolution of a Bose-Einstein condensate trapped in a one-dimensional lattice potential is investigated theoretically in the framework of the Bose-Hubbard model. The emphasis is set on the far-from-equilibrium evolution in a…

Other Condensed Matter · Physics 2008-09-08 Kristan Temme , Thomas Gasenzer

We discuss the occurrence of Bose-Einstein condensation in systems of noninteracting charged particles in three in one dimensions and in presence of an external magnetic field. In the one dimensional, as well as in the magnetic field cases,…

Condensed Matter · Physics 2007-05-23 H. Perez , L. Villegas