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The investigation of the nonequilibrium quantum dynamics of bosonic many-body systems is very challenging due to the excessively growing Hilbert space and poses a major problem for their theoretical description and simulation. We present a…

量子气体 · 物理学 2019-08-07 F. Köhler , K. Keiler , S. I. Mistakidis , H. -D. Meyer , P. Schmelcher

A time-dependent method for calculating the collective excitation frequencies and densities of a trapped, inhomogeneous Bose-Einstein condensate with circulation is presented. The results are compared with time-independent solutions of the…

统计力学 · 物理学 2009-11-07 Dermot McPeake , Halvor Moll Nilsen , J. F. McCann

Exploring the impact of dimensionality on the quantum dynamics of interacting bosons in traps including particle correlations is an interesting but challenging task. Due to the different participating length scales the modelling of the…

量子气体 · 物理学 2017-02-01 V. Bolsinger , S. Krönke , P. Schmelcher

We examine the spectral structure and many-body dynamics of two and three repulsively interacting bosons trapped in a one-dimensional double-well, for variable barrier height, inter-particle interaction strength, and initial conditions. By…

In this Colloquium, the wavefunction-based Multiconfigurational Time-Dependent Hartree approaches to the dynamics of indistinguishable particles (MCTDH-F for Fermions and MCTDH-B for Bosons) are reviewed. MCTDH-B and MCTDH-F or, together,…

We consider ultracold bosonic atoms in an optical lattice with an external trapping potential. To study the excitation energies of the resulting Bose-Hubbard model, we develop a method based on a time-dependent generalization of the…

统计力学 · 物理学 2007-07-20 Dmitry L. Kovrizhin , G. Venketeswara Pai , Subhasis Sinha

This article describes experiments performed with an ultracold gas of metastable helium above the Bose-Einstein transition. The gas is trapped in an harmonic magnetic potential and collective excitations are induced. Both the frequency and…

凝聚态物理 · 物理学 2007-05-23 M. Leduc , J. Leonard , F. Pereira dos Santos , E. Jahier , S. Schwartz , C. Cohen-Tannoudji

The exchange of collective modes has been demonstrated to be a powerful tool for inducing superconductivity and superfluidity in various condensed matter and atomic systems. In this article, we study the mediated interactions of collective…

量子气体 · 物理学 2024-03-19 Santiago Moroni-García , Arturo Camacho-Guardian

The theoretical investigation of rotating Bose-Einstein condensates has mainly focused on the emergence of quantum vortex states and the condensed properties of such systems. In the present work, we concentrate on other facets by examining…

量子气体 · 物理学 2023-03-14 Sunayana Dutta , Axel U. J. Lode , Ofir E. Alon

We extent the recently developed Multi-Layer Multi-Configuration Time-Dependent Hartree method for Bosons (ML-MCTDHB) for simulating the correlated quantum dynamics of bosonic mixtures to the fermionic sector and establish a unifying…

Here we analyze the collective excitations as well as the expansion of a trapped Bose-Einstein condensate with a vortex line at its center. To this end, we propose a variational method where the variational parameters have to be carefully…

量子气体 · 物理学 2014-02-11 R. P. Teles , V. S. Bagnato , F. E. A. dos Santos

We analyze the emergence of Shapiro resonances in tunnel-coupled Bose-Einstein condensates, realizing a bosonic Josephson junction. Our analysis is based on an experimentally relevant implementation using magnetic double well potentials on…

Tunneling in a many-body system appears as one of the novel implications of quantum physics, in which particles move in space under an otherwise classically-forbidden potential barrier. Here, we theoretically describe the quantum dynamics…

量子气体 · 物理学 2021-01-01 Anal Bhowmik , Sudip Kumar Halder , Ofir E. Alon

We investigate an atomic ensemble of interacting bosons trapped in a symmetric double well potential in contact with a single tightly trapped ion which has been recently proposed [R. Gerritsma et al., Phys. Rev. Lett. 109, 080402 (2012)] as…

量子气体 · 物理学 2016-06-08 J. M. Schurer , R. Gerritsma , P. Schmelcher , A. Negretti

We present a new variational method to study the dynamics of a closed bosonic many-body system, the time-dependent hypernetted-chain Euler-Lagrange method, tHNC . Based on the Jastrow ansatz, it accounts for quantum fluctuations in a…

We provide the analysis of a physically inspired model for a trapped dilute Bose gas with repulsive pairwise atomic interactions at zero temperature. Our goal is to describe aspects of the excited many-body quantum states by accounting for…

数学物理 · 物理学 2021-06-16 Manoussos G. Grillakis , Dionisios Margetis , Stephen Sorokanich

An approximate many-body theory incorporating two-body correlations has been employed to calculate low-lying collective multipole frequencies in a Bose-Einstein condensate containing $A$ bosons, for different values of the interaction…

量子气体 · 物理学 2009-07-21 Anindya Biswas , Tapan Kumar Das

The collective excitation of hybrid atomic-molecular condensate are studied using variational method. The dipole response of the system is studied in detail. We found that the out-of-phase dipole oscillation frequency increasing slowly with…

软凝聚态物质 · 物理学 2007-05-23 Chi-Yong Lin , M. S. Hussein , A. F. R. de Toledo Piza , E. Timmermans

We present a technique to diagnose the condensate fraction in a one-dimensional optical lattice of weakly interacting bosons based on the dynamics of the trapped atoms under the influence of a momentum kick. It is shown using the…

量子物理 · 物理学 2018-07-23 Tarek A. Elsayed , Alexej I. Streltsov

In this work we develop a complete variational many-body theory for a system of $N$ trapped bosons interacting via a general two-body potential. In this theory both the many-body basis functions {\em and} the respective expansion…

其他凝聚态物理 · 物理学 2009-11-11 Alexej I. Streltsov , Ofir E. Alon , Lorenz S. Cederbaum