Universal Thermal Entanglement of Multichannel Kondo Effects

Donghoon Kim, Jeongmin Shim, and H.-S. Sim
Phys. Rev. Lett. 127, 226801 – Published 22 November 2021
PDFHTMLExport Citation

Abstract

Quantum entanglement between an impurity and its environment is expected to be central in quantum impurity problems. We develop a method to compute the entanglement in spin-1/2 impurity problems, based on the entanglement negativity and the boundary conformal field theory (BCFT). Using the method, we study the thermal decay of the entanglement in the multichannel Kondo effects. At zero temperature, the entanglement has the maximal value independent of the number of the screening channels. At low temperature, the entanglement exhibits a power-law thermal decay. The power-law exponent equals two times of the scaling dimension of the BCFT boundary operator describing the impurity spin, and it is attributed to the energy-dependent scaling behavior of the entanglement in energy eigenstates. These agree with numerical renormalization group results, unveiling quantum coherence inside the Kondo screening length.

  • Figure
  • Figure
  • Figure
  • Received 30 November 2020
  • Accepted 29 October 2021

DOI:https://doi.org/10.1103/PhysRevLett.127.226801

© 2021 American Physical Society

Physics Subject Headings (PhySH)

Condensed Matter, Materials & Applied PhysicsQuantum Information, Science & Technology

Authors & Affiliations

Donghoon Kim*, Jeongmin Shim*, and H.-S. Sim

  • Department of Physics, Korea Advanced Institute of Science and Technology, Daejeon 34141, Korea

  • *These authors contributed equally to this work.
  • hssim@kaist.ac.kr

Article Text (Subscription Required)

Click to Expand

Supplemental Material (Subscription Required)

Click to Expand

References (Subscription Required)

Click to Expand
Issue

Vol. 127, Iss. 22 — 24 November 2021

Reuse & Permissions
Access Options
Author publication services for translation and copyediting assistance advertisement

Authorization Required


×
×

Images

×

Sign up to receive regular email alerts from Physical Review Letters

Log In

Cancel
×

Search


Article Lookup

Paste a citation or DOI

Enter a citation
×