scholarly journals Spin Hall insulators beyond the helical Luttinger model

2017 ◽  
Vol 96 (24) ◽  
Author(s):  
Vieri Mastropietro ◽  
Marcello Porta
Keyword(s):  
Luttinger Model

Persistent currents in a one-dimensional disordered ring in the Luttinger model

1997 ◽  
Vol 55 (24) ◽  
pp. 16300-16305 ◽  
Author(s):  
Jia-Lin Zhu ◽  
Xi Chen ◽  
Yoshiyuki Kawazoe
Keyword(s):  
Persistent Currents ◽  
One Dimensional ◽  
Luttinger Model

scholarly journals Entanglement prethermalization in the Tomonaga-Luttinger model

2018 ◽  
Vol 97 (1) ◽  
Author(s):  
Eriko Kaminishi ◽  
Takashi Mori ◽  
Tatsuhiko N. Ikeda ◽  
Masahito Ueda
Keyword(s):  
Luttinger Model

scholarly journals Analysis of the buildup of spatiotemporal correlations and their bounds outside of the light cone

2018 ◽  
Vol 5 (5) ◽  
Author(s):  
Nils O. Abeling ◽  
Lorenzo Cevolani ◽  
Stefan Kehrein
Keyword(s):  
Correlation Function ◽  
Power Law ◽  
Light Cone ◽  
Relativistic Quantum ◽  
Initial State ◽  
Quantum Theories ◽  
Luttinger Model ◽  
Power Law Decay ◽  
Exactly Solvable ◽  
Exponentially Small

In non-relativistic quantum theories the Lieb-Robinson bound defines an effective light cone with exponentially small tails outside of it. In this work we use it to derive a bound for the correlation function of two local disjoint observables at different times if the initial state has a power-law decay. We show that the exponent of the power-law of the bound is identical to the initial (equilibrium) decay. We explicitly verify this result by studying the full dynamics of the susceptibilities and correlations in the exactly solvable Luttinger model after a sudden quench from the non-interacting to the interacting model.

Sign in / Sign up

Export Citation Format

Share Document