Correspondence between entanglement spectrum and energy excitations
Seminar
Speaker
Shaul Leiman (Bar-Ilan University)
Date
16/06/2016 - 16:30 - 15:30Add to Calendar
2016-06-16 15:30:00
2016-06-16 16:30:00
Correspondence between entanglement spectrum and energy excitations
Using exact diagonalization for non-interacting systems and density matrix renormalization group for interacting systems we show that Li and Haldane’s conjecture [1] on the correspondence between the low-lying many-particle excitation spectrum and the entanglement spectrum holds for disordered ballistic one-dimensional many-particle systems. We observe and explain the presence of an unexpected shell structure in the excitation spectrum [2]. The low-lying shells are robust and survive even for strong electron-electron interactions.
[1] Li H. and Haldane F. D. M., Phys. Rev. Lett., 101(2008) 010504.
[2] S. Leiman, A. Eisenbach and R. Berkovits, EPL, 112 (2015).
Resnick Building (209), room 210
Department of Physics
physics.dept@mail.biu.ac.il
Asia/Jerusalem
public
Place
Resnick Building (209), room 210
Abstract
Using exact diagonalization for non-interacting systems and density matrix renormalization group for interacting systems we show that Li and Haldane’s conjecture [1] on the correspondence between the low-lying many-particle excitation spectrum and the entanglement spectrum holds for disordered ballistic one-dimensional many-particle systems. We observe and explain the presence of an unexpected shell structure in the excitation spectrum [2]. The low-lying shells are robust and survive even for strong electron-electron interactions.
[1] Li H. and Haldane F. D. M., Phys. Rev. Lett., 101(2008) 010504.
[2] S. Leiman, A. Eisenbach and R. Berkovits, EPL, 112 (2015).
Last Updated Date : 15/06/2016