Quench dynamics and relaxation of a spin coupled to interacting leads

Helena Bragança, M. F. Cavalcante, R. G. Pereira, and Maria C. O. Aguiar
Phys. Rev. B 103, 125152 – Published 25 March 2021

Abstract

We study a quantum quench in which a magnetic impurity is suddenly coupled to Hubbard chains, whose low-energy physics is described by Tomonaga-Luttinger liquid theory. Using the time-dependent density-matrix renormalization-group (tDMRG) technique, we analyze the propagation of charge, spin, and entanglement in the chains after the quench and relate the light-cone velocities to the dispersion of holons and spinons. We find that the local magnetization at the impurity site decays faster if we increase the interaction in the chains, even though the spin velocity decreases. We derive an analytical expression for the relaxation of the impurity magnetization which is in good agreement with the tDMRG results at intermediate timescales, providing valuable insight into the time evolution of the Kondo screening cloud in interacting systems.

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  • Received 22 January 2021
  • Accepted 11 March 2021

DOI:https://doi.org/10.1103/PhysRevB.103.125152

©2021 American Physical Society

Physics Subject Headings (PhySH)

Condensed Matter, Materials & Applied PhysicsQuantum Information, Science & TechnologyStatistical Physics & Thermodynamics

Authors & Affiliations

Helena Bragança1,2, M. F. Cavalcante2, R. G. Pereira3, and Maria C. O. Aguiar2

  • 1Instituto de Física and International Center for Physics, Universidade de Brasília, Brasília 70919-970, DF, Brazil
  • 2Departamento de Física, Universidade Federal de Minas Gerais, C. P. 702, 30123-970 Belo Horizonte, MG, Brazil
  • 3International Institute of Physics and Departamento de Física Teórica e Experimental, Universidade Federal do Rio Grande do Norte, 59072-970 Natal-RN, Brazil

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Issue

Vol. 103, Iss. 12 — 15 March 2021

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