Entanglement entropy distribution in the strongly disordered one-dimensional Anderson mode

2019 ◽  
Vol 2019 (4) ◽  
pp. 043103
Author(s):  
B Friedman ◽  
R Berkovits
Keyword(s):  
Entanglement Entropy ◽  
One Dimensional

scholarly journals Discrete-time quantum walks generated by aperiodic fractal sequence of space coin operators

2018 ◽  
Vol 29 (10) ◽  
pp. 1850098 ◽  
Author(s):  
R. F. S. Andrade ◽  
A. M. C. Souza
Keyword(s):  
Wave Function ◽  
Probability Distribution ◽  
Discrete Time ◽  
Numerical Study ◽  
Entanglement Entropy ◽  
Quantum Effects ◽  
Quantum Walks ◽  
Cantor Set ◽  
One Dimensional ◽  
Time Quantum

Properties of one-dimensional discrete-time quantum walks (DTQWs) are sensitive to the presence of inhomogeneities in the substrate, which can be generated by defining position-dependent coin operators. Deterministic aperiodic sequences of two or more symbols provide ideal environments where these properties can be explored in a controlled way. Based on an exhaustive numerical study, this work discusses a two-coin model resulting from the construction rules that lead to the usual fractal Cantor set. Although the fraction of the less frequent coin [Formula: see text] as the size of the chain is increased, it leaves peculiar properties in the walker dynamics. They are characterized by the wave function, from which results for the probability distribution and its variance, as well as the entanglement entropy, were obtained. A number of results for different choices of the two coins are presented. The entanglement entropy has shown to be very sensitive to uncovering subtle quantum effects present in the model.

scholarly journals Fidelity and entanglement entropy in the one-dimensional transverse-field quantum compass model

2013 ◽  
Vol 88 (1) ◽  
pp. 015003 ◽  
Author(s):  
Mostafa Motamedifar ◽  
Saeed Mahdavifar ◽  
Saber Farjami Shayesteh ◽  
Somayyeh Nemati
Keyword(s):  
Entanglement Entropy ◽  
Transverse Field ◽  
One Dimensional ◽  
The One

scholarly journals Entanglement entropy and spectra of the one-dimensional Kugel-Khomskii model

2012 ◽  
Vol 86 (22) ◽  
Author(s):  
Rex Lundgren ◽  
Victor Chua ◽  
Gregory A. Fiete
Keyword(s):  
Entanglement Entropy ◽  
One Dimensional ◽  
The One
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