Cluster dynamics in two-dimensional lattice gases with intersite interactions

authored by: Wei Han Li, Arya Dhar, Xiaolong Deng, Luis Santos
Abstract: Sufficiently strong intersite interactions in extended-Hubbard and XXZ spin models result in dynamically bound clusters at neighboring sites. We show that the dynamics of these clusters in two-dimensional lattices is remarkably different and richer than that of repulsively bound on-site clusters in gases without intersite interactions. Whereas on-site pairs move in the same lattice as individual particles, nearest-neighbor dimers perform an interacting quantum walk in a different lattice geometry, leading to a peculiar dynamics characterized by multiple timescales. Although this is generally true, it is especially relevant in some lattices, including triangular and diamond lattices for hard-core bosons, and square lattices for soft-core bosons, where dimers move resonantly in either a kagome or a Lieb lattice. As a result, dimers show two very different transport velocities - a fast one comparable to the motion of individual particles, and a very slow one associated to flatband quasilocalization. Moreover, these lattices permit the resonant motion of longer clusters, and, remarkably, trimers move faster than quasi-flatband dimers for sufficiently strong optical lattices. This rich interplay between multiscaled quantum walk dynamics, quasilocalization, and flatband physics may be readily observed in experiments with lanthanide atoms.
Organisation(s): Institute of Theoretical Physics
QuantumFrontiers
CRC 1227 Designed Quantum States of Matter (DQ-mat)
Type: Article
Journal: Physical Review A
Volume: 103
ISSN: 2469-9926
Publication date: 23.04.2021
Publication status: Published
Peer reviewed: Yes
ASJC Scopus subject areas: Atomic and Molecular Physics, and Optics
Electronic version(s): https://arxiv.org/abs/2012.02663 (Access: Open)
https://doi.org/10.1103/PhysRevA.103.043331 (Access: Closed)

BibTeX

@article{62c466396ee645879e9e1518ba001815,
title = "Cluster dynamics in two-dimensional lattice gases with intersite interactions",
abstract = "Sufficiently strong intersite interactions in extended-Hubbard and XXZ spin models result in dynamically bound clusters at neighboring sites. We show that the dynamics of these clusters in two-dimensional lattices is remarkably different and richer than that of repulsively bound on-site clusters in gases without intersite interactions. Whereas on-site pairs move in the same lattice as individual particles, nearest-neighbor dimers perform an interacting quantum walk in a different lattice geometry, leading to a peculiar dynamics characterized by multiple timescales. Although this is generally true, it is especially relevant in some lattices, including triangular and diamond lattices for hard-core bosons, and square lattices for soft-core bosons, where dimers move resonantly in either a kagome or a Lieb lattice. As a result, dimers show two very different transport velocities - a fast one comparable to the motion of individual particles, and a very slow one associated to flatband quasilocalization. Moreover, these lattices permit the resonant motion of longer clusters, and, remarkably, trimers move faster than quasi-flatband dimers for sufficiently strong optical lattices. This rich interplay between multiscaled quantum walk dynamics, quasilocalization, and flatband physics may be readily observed in experiments with lanthanide atoms.",
author = "Li, {Wei Han} and Arya Dhar and Xiaolong Deng and Luis Santos",
note = "Funding Information: We acknowledge support by the Deutsche Forschungsgemeinschaft (DFG, German Research Foundation) under Project No. SA 1031/11, the SFB 1227 “DQ-mat,” Project A04, and under Germany's Excellence Strategy–EXC-2123 QuantumFrontiers, Project No. 390837967.",
year = "2021",
month = apr,
day = "23",
doi = "10.1103/PhysRevA.103.043331",
language = "English",
volume = "103",
journal = "Physical Review A",
issn = "2469-9926",
publisher = "American Physical Society",
number = "4",
}