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We derive a general linear-response many-body theory capable of computing excitation spectra of trapped interacting bosonic systems, e.g., depleted and fragmented Bose-Einstein condensates (BECs). To obtain the linear-response equations we…

This review explores the dynamics and the low-energy excitation spectra of Bose-Einstein condensates (BECs) of interacting bosons in external potential traps putting particular emphasis on the emerging many-body effects beyond mean-field…

量子气体 · 物理学 2021-01-29 Ofir E. Alon , Raphael Beinke , Lorenz S. Cederbaum

In this paper the multiconfigurational time-dependent Hartree for bosons method (MCTDHB) is derived for the case of $N$ identical bosons with internal degrees of freedom. The theory for bosons with internal degrees of freedom constitutes a…

量子气体 · 物理学 2016-06-08 Axel U. J. Lode

We study the quantum many-body dynamics and the entropy production triggered by an interaction quench in a system of $N=10$ interacting identical bosons in an external one-dimensional harmonic trap. The multiconfigurational time-dependent…

量子气体 · 物理学 2015-09-30 A. U. J. Lode , B. Chakrabarti , V. K. B. Kota

The dynamics of attractive bosons trapped in one dimensional anharmonic potentials is investigated. Particular emphasis is put on the variance of the position and momentum many-particle operators. Coupling of the center-of-mass and…

量子气体 · 物理学 2018-12-18 Ofir E. Alon , Lorenz S. Cederbaum

The linear-response theory of the multiconfigurational time-dependent Hartree for bosons method for computing many-body excitations of trapped Bose-Einstein condensates [Phys. Rev. A {\bf 88}, 023606 (2013)] is implemented for systems with…

量子气体 · 物理学 2015-03-24 Ofir E. Alon

To solve the many-boson Schr\"odinger equation we utilize the Multiconfigurational time-dependent Hartree method for bosons (MCTDHB). To be able to attack larger systems and/or to propagate the solution for longer times, we implement a…

量子气体 · 物理学 2011-04-19 Alexej I. Streltsov , Kaspar Sakmann , Ofir E. Alon , Lorenz S. Cederbaum

The evolution of Bose-Einstein condensates is amply described by the time-dependent Gross-Pitaevskii mean-field theory which assumes all bosons to reside in a single time-dependent one-particle state throughout the propagation process. In…

其他凝聚态物理 · 物理学 2008-03-18 Ofir E. Alon , Alexej I. Streltsov , Lorenz S. Cederbaum

In this work, we study many-body excitations of Bose-Einstein condensates (BECs) trapped in periodic one-dimensional optical lattices. In particular, we investigate the impact of quantum depletion onto the structure of the low-energy…

Following a `bottom-up approach' in understanding many-particle effects and dynamics we provide a systematic ab initio study of the dependence of the breathing dynamics of ultracold bosons in a 1D harmonic trap on the number of bosons…

量子物理 · 物理学 2013-10-18 Rüdiger Schmitz , Sven Krönke , Lushuai Cao , Peter Schmelcher

We consider two bosons in a one-dimensional harmonic trap, interacting by a contact potential, and compare the exact solution of this problem to a self-consistent numerical solution by using the multiconfigurational time-dependent Hartree…

量子气体 · 物理学 2021-10-29 Yeongjin Gwak , Oleksandr V. Marchukov , Uwe R. Fischer

The exactly solvable quantum many-particle model with harmonic one- and two-particle interaction terms is extended to include time-dependency. We show that when the external trap potential and finite-range interparticle interaction have a…

We develop the multi-layer multi-configuration time-dependent Hartree method for bosons (ML-MCTDHB), a variational numerically exact ab-initio method for studying the quantum dynamics and stationary properties of bosonic systems. ML-MCTDHB…

计算物理 · 物理学 2013-10-21 Lushuai Cao , Sven Krönke , Oriol Vendrell , Peter Schmelcher

We employ the multi-configuration time-dependent Hartree method for bosons (MCTDHB) in order to investigate the correlated non-equilibrium quantum dynamics of two bosons confined in two colliding and uniformly accelerated Gaussian wells. As…

量子物理 · 物理学 2021-04-22 Fabian Köhler , Peter Schmelcher

We investigate the nonequilibrium dynamics of a two-dimensional rotating Bose gas confined in a symmetric anharmonic trap, employing the multiconfigurational time-dependent Hartree method for bosons (MCTDHB). We study states ranging from…

We solve the Schr\"odinger equation from first principles to investigate the many-body effects in the expansion dynamics of one-dimensional repulsively interacting bosons released from a harmonic trap. We utilize the multiconfigurational…

量子气体 · 物理学 2024-03-04 Rhombik Roy , Barnali Chakrabarti , Arnaldo Gammal

We apply the multiconfigurational time-dependent Hartree method for indistinguishable particles (MCTDH-X) to systems of bosons or fermions in lattices described by Hubbard type Hamiltonians with long-range or short-range interparticle…

量子气体 · 物理学 2016-07-27 Axel U. J. Lode , Christoph Bruder

We investigate the ground state properties of a lattice trapped bosonic system coupled to a Lieb-Liniger type gas. Our main goal is the description and in depth exploration and analysis of the two-species many-body quantum system including…

量子气体 · 物理学 2018-04-04 Kevin Keiler , Sven Krönke , Peter Schmelcher

The out-of-equilibrium quantum dynamics of a Bose gas trapped in an asymmetric double well and interacting with a finite-range interaction has been studied in real space by solving the time-dependent many-body Schr\"odinger equation…

量子气体 · 物理学 2019-05-21 Sudip Kumar Haldar , Ofir E Alon

The density of states of a Bose-condensed gas confined in a harmonic trap is investigated. The predictions of Bogoliubov theory are compared with the ones of Hartree-Fock theory and of the hydrodynamic model. We show that the Hartree-Fock…

凝聚态物理 · 物理学 2009-10-30 F. Dalfovo , S. Giorgini , M. Guilleumas , L. Pitaevskii , S. Stringari
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