20.500.12556/RUL-155629 Anomalous diffusion in the long-range Haken-Strobl-Reineker model We analyze the propagation of excitons in a $d$-dimensional lattice with power-law hopping $\propto 1/r^{\alpha}$ 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 $\alpha_{cr}=(d+2)/2$. The exciton always diffuses anomalously: a superdiffusive motion is associated to a Lévy stable distribution with long-range algebraic tails for $\alpha \leq \alpha_{cr}$, while for $\alpha > \alpha_{cr}$ 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 $\alpha$, 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. quantum mechanics quantum gases condensed matter physics atoms true false true Angleški jezik Angleški jezik Članek v reviji 2024-04-09 10:58:03 2024-04-09 10:58:04 2024-04-10 04:02:54 0000-00-00 00:00:00 2023 0 0 Str. 053401-1-053401-6 iss. 5 Vol. 131 2023 0000-00-00 PostprintKoncna NiDoloceno NiDoloceno 0000-00-00 0000-00-00 2023-08-03 53 0031-9007 10.1103/PhysRevLett.131.053401 191422979 2212.07744.pdf 2212.07744.pdf 1 0657FC175256F513E575BD02AB567810 36c637c1da2c53e5e9f047e0055bf4edda3bdd9b35894366d2dc78b732e1e8e1 6a8a3765-f654-11ee-be47-0050569b8976 https://repozitorij.uni-lj.si/Dokument.php?lang=slv&id=182618 https://journals.aps.org/prl/abstract/10.1103/PhysRevLett.131.053401 0 76f7a9be-f654-11ee-be47-0050569b8976 https://repozitorij.uni-lj.si/Dokument.php?lang=slv&id=182619 Fakulteta za matematiko in fiziko 0 0 0