We study the dynamics of the quenched Anderson model at finite temperature using matrix product states (MPSs). Exploiting a chain mapping for the electron bath, we investigate the entanglement structure in the MPS for various orderings of the two chains, which emerge from the thermofield transformation employed to deal with nonzero temperature. We show that merging both chains can significantly lower the entanglement at finite temperatures as compared to an intuitive nearest-neighbor implementation of the Hamiltonian. Analyzing the population of the free bath modes - possible when simulating the full dynamics of impurity plus bath - we find clear signatures of the Kondo effect in the quench dynamics.

Quench dynamics of the Anderson impurity model at finite temperature using matrix product states: Entanglement and bath dynamics / Kohn, L.; Santoro, G. E.. - In: JOURNAL OF STATISTICAL MECHANICS: THEORY AND EXPERIMENT. - ISSN 1742-5468. - 2022:6(2022), pp. 1-25. [10.1088/1742-5468/ac729b]

Quench dynamics of the Anderson impurity model at finite temperature using matrix product states: Entanglement and bath dynamics

Kohn L.
Membro del Collaboration group
;
Santoro G. E.
Membro del Collaboration group
2022-01-01

Abstract

We study the dynamics of the quenched Anderson model at finite temperature using matrix product states (MPSs). Exploiting a chain mapping for the electron bath, we investigate the entanglement structure in the MPS for various orderings of the two chains, which emerge from the thermofield transformation employed to deal with nonzero temperature. We show that merging both chains can significantly lower the entanglement at finite temperatures as compared to an intuitive nearest-neighbor implementation of the Hamiltonian. Analyzing the population of the free bath modes - possible when simulating the full dynamics of impurity plus bath - we find clear signatures of the Kondo effect in the quench dynamics.
2022
2022
6
1
25
063102
Kohn, L.; Santoro, G. E.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.11767/135874
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