We study the dynamics of the quantum Dyson hierarchical model in its paramagnetic phase. An initial state made by a local excitation of the paramagnetic ground state is considered. We provide analytical predictions for its time evolution, solving the single-particle dynamics on a hierarchical network. A localization mechanism is found, and the excitation remains close to its initial position at arbitrary times. Furthermore, a universal scaling among space and time is found that is related to the algebraic decay of the interactions as r-1-σ. We compare our predictions to numerics, employing tensor network techniques, for large magnetic fields, discussing the robustness of the mechanism in the full many-body dynamics.

Spreading of a local excitation in a quantum hierarchical model / Capizzi, L.; Giachetti, G.; Santini, A.; Collura, M.. - In: PHYSICAL REVIEW. B. - ISSN 2469-9950. - 106:13(2022), pp. 1-10. [10.1103/PhysRevB.106.134210]

Spreading of a local excitation in a quantum hierarchical model

Capizzi L.;Giachetti G.;Santini A.;Collura M.
2022-01-01

Abstract

We study the dynamics of the quantum Dyson hierarchical model in its paramagnetic phase. An initial state made by a local excitation of the paramagnetic ground state is considered. We provide analytical predictions for its time evolution, solving the single-particle dynamics on a hierarchical network. A localization mechanism is found, and the excitation remains close to its initial position at arbitrary times. Furthermore, a universal scaling among space and time is found that is related to the algebraic decay of the interactions as r-1-σ. We compare our predictions to numerics, employing tensor network techniques, for large magnetic fields, discussing the robustness of the mechanism in the full many-body dynamics.
106
13
1
10
134210
10.1103/PhysRevB.106.134210
https://arxiv.org/abs/2207.06790
Capizzi, L.; Giachetti, G.; Santini, A.; Collura, M.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.11767/130477
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