English
Related papers

Related papers: Number-conserving solution for dynamical quantum b…

200 papers

We present a quantum mechanical treatment of the mechanical stirring of Bose-Einstein condensates using classical field techniques. In our approach the condensate and excited modes are described using a Hamiltonian classical field method in…

Other Condensed Matter · Physics 2008-12-03 T. M. Wright , R. J. Ballagh , A. S. Bradley , P. B. Blakie , C. W. Gardiner

We consider a Bose-Einstein condensate driven by periodic delta-kicks. In contrast to first-order descriptions, which predict rapid, unbounded growth of the noncondensate in resonant parameter regimes, the consistent treatment of condensate…

Quantum Gases · Physics 2012-01-24 T. P. Billam , S. A. Gardiner

Quantum turbulence deals with the phenomenon of turbulence in quantum fluids, such as superfluid helium and trapped Bose-Einstein condensates (BECs). Although much progress has been made in understanding quantum turbulence, several…

We report a numerical study of turbulence and Bose-Einstein condensation within the two-dimmensional Gross-Pitaevski model with repulsive interaction. In presence of weak forcing localized around some wave number in the Fourier space, we…

Chaotic Dynamics · Physics 2015-06-26 Sergey Nazarenko , Miguel Onorato

When a turbulent Bose-Einstein condensate is driven out-of-equilibrium at a scale much smaller than the system size, nonlinear wave interactions transfer particles towards large scales in an inverse cascade process. In this work, we study…

Quantum Gases · Physics 2026-04-14 Ying Zhu , Giorgio Krstulovic , Sergey Nazarenko

For equilibrium systems, the magnitude of thermal fluctuations is closely linked to the dissipative response to external perturbations. This fluctuation-dissipation relation has been described for material particles in a wide range of…

Quantum Gases · Physics 2023-01-24 Fahri Emre Öztürk , Frank Vewinger , Martin Weitz , Julian Schmitt

We question the validity of the grand canonical ensemble for the description of Bose-Einstein condensation of small ideal Bose gas samples in isolated harmonic traps. While the ground state fraction and the specific heat capacity can be…

Statistical Mechanics · Physics 2008-02-03 Siegfried Grossmann , Martin Holthaus

We consider the evolution of a gas of $N$ bosons in the three-dimensional Gross-Pitaevskii regime (in which particles are initially trapped in a volume of order one and interact through a repulsive potential with scattering length of the…

Mathematical Physics · Physics 2024-07-11 Cristina Caraci , Jakob Oldenburg , Benjamin Schlein

We investigate the particle-number fluctuations due to the collective excitations created in a two-dimensional (2D) and a quasi-2D Bose-Einstein condensates (BECs) at low temperature. We find that the fluctuations display an anomalous…

Soft Condensed Matter · Physics 2009-11-07 Hongwei Xiong , Shujuan Liu , Guoxiang Huang

We consider Bose-Einstein condensation of noninteracting homogeneous three-dimensional gas in canonical ensemble when both particle number $N$ and total momentum $\mathbf{P}$ of all particles are fixed. Using the saddle point method, we…

Quantum Gases · Physics 2024-07-11 Andrey S. Plyashechnik , Alexey A. Sokolik , Yurii E. Lozovik

We present experiments revealing the competing effect of quantum fluctuations and of a coherent seed in the dynamics of a spin-1 Bose-Einstein condensate, and discuss the relevance of a mean-field description of our system. We first explore…

Quantum Gases · Physics 2021-03-10 Bertrand Evrard , An Qu , Jean Dalibard , Fabrice Gerbier

The formation of a dense Bose-Einstein condensate in dark spin states of two-dimensional dipolar excitons is shown to be driven by a dynamical transition to the long-lived dark states. The condensate is stabilized by strong dipole-dipole…

Quantum Gases · Physics 2018-05-09 Yotam Mazuz-Harpaz , Maxim Khodas , Ronen Rapaport

We propose to use quantum tomography to characterize the state of a perturbed Bose-Einstein condensate. We assume knowledge of the number of particles in the zero-wave number mode and of density distributions in space at different times,…

Other Condensed Matter · Physics 2009-11-10 Anders S. Mouritzen , Klaus Molmer

In this work we present numerical study of a trapped Bose-Einstein condensate perturbed by an alternating potential. The relevant physical situation has been recently realized in experiment, where the trapped condensate of $^{87}$Rb, being…

Quantum Gases · Physics 2015-06-24 A. N. Novikov , V. I. Yukalov , V. S. Bagnato

We explored the dynamics of how a Bose-Einstein condensate collapses and subsequently explodes when the balance of forces governing the size and shape of the condensate is suddenly altered. A condensate's equilibrium size and shape is…

One-particle reduced density matrix functional theory would potentially be the ideal approach for describing Bose-Einstein condensates. It namely replaces the macroscopically complex wavefunction by the simple one-particle reduced density…

Quantum Gases · Physics 2021-04-13 Julia Liebert , Christian Schilling

The problem of understanding how a coherent, macroscopic Bose-Einstein condensate (BEC) emerges from the cooling of a thermal Bose gas has attracted significant theoretical and experimental interest over several decades. The pioneering…

The analytical probability distribution of finite systems obeying Bose-Einstein statistics in one, two, and three dimensions are investigated by using a canonical ensemble approach. Starting from the canonical partition function of the…

Soft Condensed Matter · Physics 2007-05-23 Hongwei Xiong , Shujuan Liu , Guoxiang Huang , FengMin Wu , Zhijun Xu

Phase transitions can modify quantum behaviour on mesoscopic scales and give access to new and unusual quantum dynamics. Here we investigate the superfluid properties of a rotating two-component Bose--Einstein condensate as a function of…

Quantum Gases · Physics 2016-03-09 Angela White , Tara Hennessy , Thomas Busch

A solvable model of a periodically-driven trapped mixture of Bose-Einstein condensates, consisting of $N_1$ interacting bosons of mass $m_1$ driven by a force of amplitude $f_{L,1}$ and $N_2$ interacting bosons of mass $m_2$ driven by a…

Quantum Gases · Physics 2020-12-01 Ofir E. Alon