Dynamics of two bosons with density-assisted tunnelling in a one-dimensional tilted lattice
Abstract
We investigate the dynamics of two bosons in a tilted one-dimensional optical lattice with both standard and density-assisted tunnelling. The relative sign of the two tunnelling processes strongly affects the Bloch dynamics, leading to distinct reinforcing and competing regimes. We examine how the tunnelling processes generate correlations and find that, in the absence of onsite interactions, the early-time entanglement growth follows the same scaling with the density-assisted tunnelling amplitude. Finite onsite interaction changes this picture by breaking the symmetry between the reinforcing and competing regimes and enhancing the correlation differently in two regimes. This shows how the interplay between the two tunnelling mechanisms can change dyanmics and entanglement in a controlled few-body setting. Particularly, at equal tunnelling amplitudes, the doublon and singlon sectors decouple completely for arbitrary onsite interaction, lattice tilting, and initial state.
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BibTeX
@misc{hasan2026dynamics,
title = {{Dynamics of two bosons with density-assisted tunnelling in a one-dimensional tilted lattice}},
author = {Muhammad S. Hasan and Vikash Mittal and Tomasz Sowiński},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.28278},
eprint = {2610.28278},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.28278},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Dynamics of two bosons with density-assisted tunnelling in a one-dimensional tilted lattice
AU - Muhammad S. Hasan
AU - Vikash Mittal
AU - Tomasz Sowiński
PY - 2026
DA - 2026/10/20
PB - arXiv
DO - 10.48550/arxiv.2610.28278
UR - https://arxiv.org/abs/2610.28278
AB - We investigate the dynamics of two bosons in a tilted one-dimensional optical lattice with both standard and density-assisted tunnelling. The relative sign of the two tunnelling processes strongly affects the Bloch dynamics, leading to distinct reinforcing and competing regimes. We examine how the tunnelling processes generate correlations and find that, in the absence of onsite interactions, the early-time entanglement growth follows the same scaling with the density-assisted tunnelling amplitude. Finite onsite interaction changes this picture by breaking the symmetry between the reinforcing and competing regimes and enhancing the correlation differently in two regimes. This shows how the interplay between the two tunnelling mechanisms can change dyanmics and entanglement in a controlled few-body setting. Particularly, at equal tunnelling amplitudes, the doublon and singlon sectors decouple completely for arbitrary onsite interaction, lattice tilting, and initial state.
ER -