Speaker:Prof. Dr. Edson Vernek, Universidade Federal de Uberlândia
Title: Dynamics of interacting quantum systems
Location: 29#414
Time: Every Friday (starting firstly on Dec. 1) and Wednesday afternoon from 14:00-17:00
Lecture 1 (90 minutes):
• Many-body Hamiltonians: challenge and approaches. Anderson, Hubbard and Holstein-Hubbard models;
• Green’s functions approach to many-body Hamiltonians;
Lecture 2 (90 minutes):
• Many-body Impurity problems. From Anderson to Kondo problems;
• Coulomb blockade within the Green’s functions approach.
Lecture 3 (90 minutes):
• Kondo effect within the Green’s function approach.
Lecture 4 (90 minutes):
• Numerical methods for the Kondo problem;
• Numerical Renormalization group.
Lecture 5 (90 minutes):
• From Hubbard to Heisenberg model;
• 1D Heisenberg model.
Lecture 6 (90 minutes):
• Numerical approach for 1D Heisenberg chains;
• Density-Matrix renormalization group within Matrix product states;
Lecture 7 (90 minutes):
• Simple examples for MPS approach to Heisenberg chains.
Lecture 8 (90 minutes):
• Majorana Fermions in condensed matter.
Lecture 9 (90 minutes):
• Time evolution of many-body quantum states;
• Localization of many-body quantum states.
Lecture10 (90 minutes):
• Summary
References:
[1] A. C. Hewson, The Kondo Problem to Heavy Fermions (Cambridge University Press, Cambridge, England, 1993).
[2] R. Bulla, T. A. Costi and T. Pruschke, Rev. Mod. Phys. 80, 395 (2008).
[3] D. N. Zubarev Sov. Phys. Usp. 3, 320 (1960).
[4] Matthew Fishman and Steven R. White and E. Miles Stoudenmire, SciPost Phys. Codebases, 4 (2022)
报告人简介：Edson Vernek于2007年毕业于巴西里约热内卢天主教大学物理学(凝聚态)专业。他于2008年受聘于印度联邦大学(Federal University of uberlindia)，目前是该校教授。主要研究方向为强相关体系，包括近藤效应、磁性材料、拓扑超导体等。
邀请人：高先龙教授
