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Multiconfigurational Hartree-Fock theory is presented and implemented in an investigation of the fragmentation of a Bose-Einstein condensate made of identical bosonic atoms in a double well potential at zero temperature. The approach builds…

其他凝聚态物理 · 物理学 2007-10-16 D. Masiello , S. B. McKagan , W. P. Reinhardt

Systematic investigations of the electric dipole (E1) modes of excitation are performed using the canonical-basis time-dependent Hartree-Fock-Bogoliubov (Cb-TDHFB) theory. The Cb-TDHFB is able to describe dynamical pairing correlations in…

核理论 · 物理学 2014-08-12 Shuichiro Ebata , Takashi Nakatsukasa , Tsunenori Inakura

We present a detailed finite-temperature Hartree-Fock-Bogoliubov (HFB) treatment of the two-dimensional trapped Bose gas. We highlight the numerical methods required to obtain solutions to the HFB equations within the Popov approximation,…

统计力学 · 物理学 2009-11-10 Christopher Gies , D. A. W. Hutchinson

The correlated non-equilibrium dynamics of few-boson systems in one-dimensional finite lattices is investigated. Starting from weak interactions we perform a sudden interaction quench and employ the numerically exact Multi-Layer…

量子气体 · 物理学 2017-10-31 S. I. Mistakidis , L. Cao , P. Schmelcher

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…

量子气体 · 物理学 2015-08-12 A. Iu. Gudyma , G. E. Astrakharchik , Mikhail B. Zvonarev

We present a method to study the dynamics of a quasi-two dimensional Bose-Einstein condensate which contains initially many vortices at arbitrary locations. We present first the analytical solution of the dynamics in a homogeneous medium…

We study theoretically the collective dynamics of rotational excitations of polar molecules loaded into an optical lattice in two dimensions. These excitations behave as hard-core bosons with a relativistic energy dispersion arising from…

量子气体 · 物理学 2014-08-29 M. P. Kwasigroch , N. R. Cooper

We investigate the dynamics of one-dimensional interacting bosons in an optical lattice after a sudden quench in the Bose-Hubbard (BH) and sine-Gordon (SG) regimes. While in higher dimension, the Mott-superfluid phase transition is observed…

The study of collective excitations is a crucial tool for understanding many-body quantum systems. For instance, they play a central role in the exploration of superfluidity and other quantum macroscopic phenomena in Bose and Fermi systems.…

量子气体 · 物理学 2025-02-21 A. del Río-Lima , J. A. Seman , R. Jáuregui , F. J. Poveda-Cuevas

We present one- and two-body measurements for the Hubbard model on the honeycomb (graphene) lattice from ab-initio quantum monte carlo simulations. Of particular interest is excitons, which are particle/hole excitations in low-dimensional…

强关联电子 · 物理学 2025-02-07 Petar Sinilkov , Evan Berkowitz , Thomas Luu , Marcel Rodekamp

The correlated non-equilibrium quantum dynamics following a multiple interaction quench protocol for few-bosonic ensembles confined in finite optical lattices is investigated. The quenches give rise to an interwell tunneling and excite the…

量子物理 · 物理学 2017-10-31 J. Neuhaus-Steinmetz , S. I. Mistakidis , P. Schmelcher

Dipolar Bose-Einstein condensates are excellent platforms for studying supersolidity, characterized by coexisting density modulation and superfluidity. The realization of dipolar mixtures opens intriguing new scenarios, most remarkably the…

量子气体 · 物理学 2024-12-09 Daniel Scheiermann , Albert Gallemí , Luis Santos

In this paper we examine the excitations observable in atoms confined in an optical lattice around the superfluid-insulator transition. We use increases in the number variance of atoms, subsequent to tilting the lattice as the primary…

软凝聚态物质 · 物理学 2013-05-29 K. Braun-Munzinger , J. A. Dunningham , K. Burnett

Multistep Bose-Einstein condensation of an ideal Bose gas in anisotropic harmonic atom traps is studied. In the presence of strong anisotropy realized by the different trap frequency in each direction, finite size effect dictates a series…

量子物理 · 物理学 2008-11-26 K. Shiokawa

We study the properties of a magnetic dipolar Bose-Einstein condensate (BEC) in an elongated (cigar shaped) confining potential in the beyond quasi-one-dimensional (quasi-1D) regime. In this system the dipole-dipole interactions (DDIs)…

量子气体 · 物理学 2020-10-14 Sukla Pal , D. Baillie , P. B. Blakie

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…

统计力学 · 物理学 2009-11-07 R. A. Duine , H. T. C. Stoof

We discuss the mean-field approximation for a trapped weakly-interacting Bose-Einstein condensate (BEC) and its connection with the exact many-body problem by deriving the Gross-Pitaevskii action of the condensate. The mechanics of the BEC…

统计力学 · 物理学 2009-10-31 Luca Salasnich

We study the time-evolution of initially trapped Bose-Einstein condensates in the Gross-Pitaevskii regime. Under a physically motivated assumption on the energy of the initial data, we show that condensation is preserved by the many-body…

数学物理 · 物理学 2019-03-13 Christian Brennecke , Benjamin Schlein

We construct a many-body Gaussian variational approach for the two-dimensional trapped Bose gas in the condensate phase. Interaction between particles is modelized by a generalized pseudo-potential of zero range that allows recovering…

其他凝聚态物理 · 物理学 2009-11-10 Ludovic Pricoupenko

We describe the time-dependent restricted-active-space self-consistent-field (TD-RASSCF) method for a system of interacting bosons. We provide the theory of the method and discuss its numerical implementation. The method provides a general…

量子物理 · 物理学 2017-04-28 Camille Lévêque , Lars Bojer Madsen