Correspondence between entanglement spectrum and energy excitations

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