Cluster dynamics in two-dimensional lattice gases with intersite interactions

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Original languageEnglish
Article number043331
JournalPhysical Review A
Volume103
Issue number4
Publication statusPublished - 23 Apr 2021

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.

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Cluster dynamics in two-dimensional lattice gases with intersite interactions. / Li, Wei Han; Dhar, Arya; Deng, Xiaolong et al.
In: Physical Review A, Vol. 103, No. 4, 043331, 23.04.2021.

Research output: Contribution to journalArticleResearchpeer review

Li WH, Dhar A, Deng X, Santos L. Cluster dynamics in two-dimensional lattice gases with intersite interactions. Physical Review A. 2021 Apr 23;103(4):043331. doi: 10.1103/PhysRevA.103.043331
Li, Wei Han ; Dhar, Arya ; Deng, Xiaolong et al. / Cluster dynamics in two-dimensional lattice gases with intersite interactions. In: Physical Review A. 2021 ; Vol. 103, No. 4.
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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.",
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AU - Dhar, Arya

AU - Deng, Xiaolong

AU - Santos, Luis

N1 - 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.

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N2 - 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.

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