Non-standard Hubbard models in optical lattices: a review

O Dutta, M Gajda, P Hauke, M Lewenstein… - Reports on Progress …, 2015 - iopscience.iop.org
Originally, the Hubbard model was derived for describing the behavior of strongly correlated
electrons in solids. However, for over a decade now, variations of it have also routinely been …

Few-body Bose gases in low dimensions—A laboratory for quantum dynamics

SI Mistakidis, AG Volosniev, RE Barfknecht, T Fogarty… - Physics Reports, 2023 - Elsevier
Cold atomic gases have become a paradigmatic system for exploring fundamental physics,
which at the same time allows for applications in quantum technologies. The accelerating …

Multilayer multiconfiguration time-dependent Hartree method: Implementation and applications to a Henon–Heiles Hamiltonian and to pyrazine

O Vendrell, HD Meyer - The Journal of Chemical Physics, 2011 - pubs.aip.org
The multilayer multiconfiguration time-dependent Hartree (ML-MCTDH) method is discussed
and a fully general implementation for any number of layers based on the recursive ML …

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 …

Studying molecular quantum dynamics with the multiconfiguration time‐dependent Hartree method

HD Meyer - Wiley Interdisciplinary Reviews: Computational …, 2012 - Wiley Online Library
This review covers the multiconfiguration time‐dependent Hartree (MCTDH) method, which
is a powerful and general algorithm for solving the time‐dependent Schrödinger equation …

Relaxation to a phase-locked equilibrium state in a one-dimensional bosonic Josephson junction

M Pigneur, T Berrada, M Bonneau, T Schumm… - Physical review …, 2018 - APS
We present an experimental study on the nonequilibrium tunnel dynamics of two coupled
one-dimensional Bose-Einstein quasicondensates deep in the Josephson regime …

A unified ab initio approach to the correlated quantum dynamics of ultracold fermionic and bosonic mixtures

L Cao, V Bolsinger, SI Mistakidis… - The Journal of …, 2017 - pubs.aip.org
We extent the recently developed Multi-Layer Multi-Configuration Time-Dependent Hartree
method for Bosons for simulating the correlated quantum dynamics of bosonic mixtures to …

The multi-layer multi-configuration time-dependent Hartree method for bosons: Theory, implementation, and applications

L Cao, S Krönke, O Vendrell… - The Journal of Chemical …, 2013 - pubs.aip.org
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 …

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 …

Multiconfigurational time-dependent Hartree method for bosons with internal degrees of freedom: Theory and composite fragmentation of multicomponent Bose …

AUJ Lode - Physical Review A, 2016 - APS
In this paper, the multiconfigurational time-dependent Hartree for bosons (MCTDHB) method
is derived for the case of N identical bosons with internal degrees of freedom. The theory for …