Quench dynamics of edge modes revealed by entanglement spectrum in a dimerized chain with dilute impurities

2018 ◽  
Vol 32 (22) ◽  
pp. 1850240
Author(s):  
Qiu-Lan Zhang
Keyword(s):  
Zero Energy ◽  
One Dimensional ◽  
Entanglement Spectrum ◽  
Quench Dynamics ◽  
The One

We study the evolution of the one-particle entanglement spectrum for the one-dimensional dimerized chain in the presence of impurities. When the system quenches from a topologically nontrivial phase to a trivial phase with disorder, the spectrum features the split of two zero-energy edge modes due to their interaction with impurities. Our observations demonstrate the feasibility of using entanglement spectrum to study the quench dynamics of topological systems.

Quantum quench dynamics of the one-dimensional Ising model in transverse field

Pramana ◽  
2019 ◽  
Vol 92 (4) ◽  
Author(s):  
Wei-Ke Zou ◽  
Nuo-Wei Li ◽  
Chong Han ◽  
Dong-dong Liu
Keyword(s):  
Ising Model ◽  
Transverse Field ◽  
One Dimensional ◽  
Quantum Quench ◽  
Quench Dynamics ◽  
The One

scholarly journals Coherent quench dynamics in the one-dimensional Fermi-Hubbard model

2014 ◽  
Vol 90 (3) ◽  
Author(s):  
Deepak Iyer ◽  
Rubem Mondaini ◽  
Sebastian Will ◽  
Marcos Rigol
Keyword(s):  
Hubbard Model ◽  
One Dimensional ◽  
Quench Dynamics ◽  
The One

scholarly journals ON SPHALERON DEFORMATIONS INDUCED BY YUKAWA INTERACTIONS

1994 ◽  
Vol 09 (17) ◽  
pp. 1529-1543 ◽  
Author(s):  
MINOS AXENIDES ◽  
ANDREI JOHANSEN ◽  
HOLGER BECH NIELSEN
Keyword(s):  
Index Theorem ◽  
Chiral Anomaly ◽  
Electroweak Theory ◽  
Two Dimensional ◽  
Zero Energy ◽  
Level Crossing ◽  
One Dimensional ◽  
The One ◽  
Chern Simons ◽  
Massless Fermions

Due to the presence of the chiral anomaly sphalerons, half a number of Chern-Simons (CS=1/2) are the only static configurations that allow a fermion level crossing in the two-dimensional Abelian-Higgs model with massless fermions, i.e. in the absence of Yukawa interactions. In the presence of fermion-Higgs interactions we demonstrate the existence of zero energy solutions to the one-dimensional Dirac equation at deformed sphalerons with CS ≠ 1/2. Induced level crossing due to Yukawa interactions illustrates a non-trivial generalization of the Atiyah-Patodi-Singer index theorem and of the equivalence between parity anomaly in odd and chiral anomaly in even dimensions. We discuss a subtle manifestation of this effect in the standard electroweak theory at finite temperatures.

scholarly journals Electrostatic simulation of the Jackiw-Rebbi zero energy state

2019 ◽  
Vol 65 (1) ◽  
pp. 30
Author(s):  
Gabriel Gonzalez ◽  
Javier Mendez ◽  
Ramon Diaz ◽  
Francisco Javier Gonzalez
Keyword(s):  
Space Dimension ◽  
Energy State ◽  
Scalar Potential ◽  
Theory Model ◽  
Electric Permittivity ◽  
Zero Energy ◽  
One Dimensional ◽  
Lorentz Scalar ◽  
The One ◽  
Insight Into

We present an analogy between the one dimensional Poisson equation in inhomogeneous media and the Dirac equation in one space dimension with a Lorentz scalar potential for zero energy. We illustrate how the zero energy state in the Jackiw-Rebbi model can be implemented in a simple one dimensional electrostatic setting by using an inhomogeneous electric permittivity and an infinite charged sheet. Our approach provides a novel insight into the Jackiw-Rebbi zero energy state and provides a helpful way to visualize and teach this important quantum field theory model using basic electrostatics.

Exploring the Multidimensional Facets of Authoritarianism: Authoritarian Aggression and Social Dominance Orientation

2008 ◽  
Vol 67 (1) ◽  
pp. 51-60 ◽  
Author(s):  
Stefano Passini
Keyword(s):  
Social Dominance ◽  
Factor Model ◽  
Three Dimensional ◽  
Social Dominance Orientation ◽  
Model Fit ◽  
Regression Analyses ◽  
One Dimensional ◽  
Confirmatory Factor ◽  
The One ◽  
Better Than

The relation between authoritarianism and social dominance orientation was analyzed, with authoritarianism measured using a three-dimensional scale. The implicit multidimensional structure (authoritarian submission, conventionalism, authoritarian aggression) of Altemeyer’s (1981, 1988) conceptualization of authoritarianism is inconsistent with its one-dimensional methodological operationalization. The dimensionality of authoritarianism was investigated using confirmatory factor analysis in a sample of 713 university students. As hypothesized, the three-factor model fit the data significantly better than the one-factor model. Regression analyses revealed that only authoritarian aggression was related to social dominance orientation. That is, only intolerance of deviance was related to high social dominance, whereas submissiveness was not.

Sign in / Sign up

Export Citation Format

Share Document