Colloquium: Multiconfigurational time-dependent Hartree approaches for indistinguishable particles

AUJ Lode, C Lévêque, LB Madsen, AI Streltsov… - Reviews of Modern …, 2020 - APS
In this Colloquium, the wave-function-based multiconfigurational time-dependent Hartree
approaches to the dynamics of indistinguishable particles (MCTDH-F for fermions and …

One-dimensional mixtures of several ultracold atoms: a review

T Sowiński, MÁ García-March - Reports on Progress in Physics, 2019 - iopscience.iop.org
Recent theoretical and experimental progress on studying one-dimensional systems of
bosonic, fermionic, and Bose–Fermi mixtures of a few ultracold atoms confined in traps is …

Ab-initio variational wave functions for the time-dependent many-electron Schrödinger equation

J Nys, G Pescia, A Sinibaldi, G Carleo - Nature communications, 2024 - nature.com
Understanding the real-time evolution of many-electron quantum systems is essential for
studying dynamical properties in condensed matter, quantum chemistry, and complex …

Multiconfigurational time-dependent Hartree method for fermions: Implementation, exactness, and few-fermion tunneling to open space

E Fasshauer, AUJ Lode - Physical Review A, 2016 - APS
We report on an implementation of the multiconfigurational time-dependent Hartree method
(MCTDH) for spin-polarized fermions (MCTDHF). Our approach is based on a map** for …

Numerically exact quantum dynamics of bosons with time-dependent interactions of harmonic type

AUJ Lode, K Sakmann, OE Alon, LS Cederbaum… - Physical Review A …, 2012 - APS
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 …

Comparing and contrasting nuclei and cold atomic gases

NT Zinner, AS Jensen - Journal of Physics G: Nuclear and …, 2013 - iopscience.iop.org
The experimental revolution in ultracold atomic gas physics over the past decades has
brought tremendous amounts of new insight to the world of degenerate quantum systems …

Properties of a trapped multiple-species bosonic mixture at the infinite-particle-number limit: A solvable model

OE Alon, LS Cederbaum - The Journal of Chemical Physics, 2024 - pubs.aip.org
We investigate a trapped mixture of Bose–Einstein condensates consisting of a multiple
number of P species. To be able to do so, an exactly solvable many-body model is called …

Quantum corrections to the ground-state energy of a trapped Bose-Einstein condensate: A diffusion Monte Carlo calculation

D Blume, CH Greene - Physical Review A, 2001 - APS
Abstract The diffusion Monte Carlo method is applied to describe a trapped atomic Bose-
Einstein condensate at zero temperature, fully quantum mechanically and nonperturbatively …

[PDF][PDF] Lecture Notes: many-body quantum dynamics with MCTDH-X

P Molignini, S Dutta, E Fasshauer - arxiv preprint arxiv:2407.20317, 2024 - scipost.org
The lecture notes on “Many-body Quantum Dynamics with MCTDH-X”, adapted from the
2023 Heidelberg MCTDH Summer School, provide an indepth exploration of the …

Analytic harmonic approach to the N-body problem

JR Armstrong, NT Zinner, DV Fedorov… - Journal of Physics B …, 2011 - iopscience.iop.org
We consider an analytic way to make the interacting N-body problem tractable by using
harmonic oscillators in place of the relevant two-body interactions. The two-body terms of the …