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Anomalous diffusion in the long-range Haken-Strobl-Reineker model
ID Catalano, A. G. (Author), ID Mattiotti, F. (Author), ID Dubail, J. (Author), ID Hagenmüller, D. (Author), ID Prosen, Tomaž (Author), ID Franchini, F. (Author), ID Pupillo, Guido (Author)

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Abstract
We analyze the propagation of excitons in a d-dimensional lattice with power-law hopping 1/rα in the presence of dephasing, described by a generalized Haken-Strobl-Reineker model. We show that in the strong dephasing (quantum Zeno) regime the dynamics is described by a classical master equation for an exclusion process with long jumps. In this limit, we analytically compute the spatial distribution, whose shape changes at a critical value of the decay exponent αcr=(d+2)/2. The exciton always diffuses anomalously: a superdiffusive motion is associated to a Lévy stable distribution with long-range algebraic tails for ααcr, while for α>αcr the distribution corresponds to a surprising mixed Gaussian profile with long-range algebraic tails, leading to the coexistence of short-range diffusion and long-range Lévy flights. In the many-exciton case, we demonstrate that, starting from a domain-wall exciton profile, algebraic tails appear in the distributions for any α, which affects thermalization: the longer the hopping range, the faster equilibrium is reached. Our results are directly relevant to experiments with cold trapped ions, Rydberg atoms, and supramolecular dye aggregates. They provide a way to realize an exclusion process with long jumps experimentally.

Language:English
Keywords:quantum mechanics, quantum gases, condensed matter physics, atoms
Work type:Article
Typology:1.01 - Original Scientific Article
Organization:FMF - Faculty of Mathematics and Physics
Publication version:Author Accepted Manuscript
Publication date:03.08.2023
Year:2023
Number of pages:Str. 053401-1-053401-6
Numbering:Vol. 131, iss. 5
PID:20.500.12556/RUL-155629 This link opens in a new window
UDC:53
ISSN on article:0031-9007
DOI:10.1103/PhysRevLett.131.053401 This link opens in a new window
COBISS.SI-ID:191422979 This link opens in a new window
Publication date in RUL:09.04.2024
Views:825
Downloads:259
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CATALANO, A. G., MATTIOTTI, F., DUBAIL, J., HAGENMÜLLER, D., PROSEN, Tomaž, FRANCHINI, F. and PUPILLO, Guido, 2023, Anomalous diffusion in the long-range Haken-Strobl-Reineker model. Physical review letters [online]. 2023. Vol. 131, no. 5, p. 053401-1- 053401–6. [Accessed 29 June 2025]. DOI 10.1103/PhysRevLett.131.053401. Retrieved from: https://repozitorij.uni-lj.si/IzpisGradiva.php?lang=eng&id=155629
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Record is a part of a journal

Title:Physical review letters
Shortened title:Phys. rev. lett.
Publisher:American Physical Society
ISSN:0031-9007
COBISS.SI-ID:1282575 This link opens in a new window

Projects

Funder:EC - European Commission
Funding programme:European Commission
Project number:955479
Name:MOlecular Quantum Simulations
Acronym:MOQS

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