Entanglement Entropy of One-dimensional Gapped Spin Chains

2007 ◽  
Vol 76 (7) ◽  
pp. 074603 ◽  
Author(s):  
Takaaki Hirano ◽  
Yasuhiro Hatsugai
Keyword(s):  
Entanglement Entropy ◽  
Spin Chains ◽  
One Dimensional

scholarly journals BOUNDEDNESS OF ENTANGLEMENT ENTROPY AND SPLIT PROPERTY OF QUANTUM SPIN CHAINS

2013 ◽  
Vol 25 (09) ◽  
pp. 1350017 ◽  
Author(s):  
TAKU MATSUI
Keyword(s):  
Spectral Gap ◽  
Entanglement Entropy ◽  
Quantum Spin ◽  
Spin Systems ◽  
Spin Chains ◽  
Quantum Spin Chains ◽  
Quantum Spin Systems ◽  
One Dimensional ◽  
Split Property ◽  
Left And Right

We show that boundedness of entanglement entropy for pure states of bipartite quantum spin systems implies split property of subsystems. As a corollary, in one-dimensional quantum spin chains, we show that the split property with respect to left and right semi-infinite subsystems is valid for the translationally invariant pure ground states with spectral gap.

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.

Magnetic properties of manganese based one-dimensional spin chains

2015 ◽  
Vol 44 (46) ◽  
pp. 19812-19819 ◽  
Author(s):  
K. S. Asha ◽  
K. M. Ranjith ◽  
Arvind Yogi ◽  
R. Nath ◽  
Sukhendu Mandal
Keyword(s):  
Heat Capacity ◽  
Magnetic Properties ◽  
Magnetic Susceptibility ◽  
Spin Chains ◽  
One Dimensional

Magnetic susceptibility and heat capacity of three manganese based structures are measured and modeled with one-dimensional antiferromagnetic chains.

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