scholarly journals A uniform area law for the entanglement of eigenstates in the disordered XY chain

2015 ◽  
Vol 56 (12) ◽  
pp. 121901 ◽  
Author(s):  
Houssam Abdul-Rahman ◽  
Günter Stolz
Keyword(s):  
Xy Chain ◽  
Uniform Area ◽  
Area Law

scholarly journals Improved Thermal Area Law and Quasilinear Time Algorithm for Quantum Gibbs States

2021 ◽  
Vol 11 (1) ◽  
Author(s):  
Tomotaka Kuwahara ◽  
Álvaro M. Alhambra ◽  
Anurag Anshu
Keyword(s):  
Time Algorithm ◽  
Gibbs States ◽  
Area Law

scholarly journals Effects of defects in the XY chain with frustrated boundary conditions

2021 ◽  
Vol 103 (1) ◽  
Author(s):  
Gianpaolo Torre ◽  
Vanja Marić ◽  
Fabio Franchini ◽  
Salvatore Marco Giampaolo
Keyword(s):  
Boundary Conditions ◽  
Xy Chain

scholarly journals Target space entanglement in quantum mechanics of fermions and matrices

2021 ◽  
Vol 2021 (8) ◽  
Author(s):  
Sotaro Sugishita
Keyword(s):  
Mutual Information ◽  
Ground State ◽  
Entanglement Entropy ◽  
Algebraic Approach ◽  
Upper Bounds ◽  
Wave Functions ◽  
Target Space ◽  
Single Interval ◽  
Area Law ◽  
Formula Expression

Abstract We consider entanglement of first-quantized identical particles by adopting an algebraic approach. In particular, we investigate fermions whose wave functions are given by the Slater determinants, as for singlet sectors of one-matrix models. We show that the upper bounds of the general Rényi entropies are N log 2 for N particles or an N × N matrix. We compute the target space entanglement entropy and the mutual information in a free one-matrix model. We confirm the area law: the single-interval entropy for the ground state scales as $$ \frac{1}{3} $$ 1 3 log N in the large N model. We obtain an analytical $$ \mathcal{O}\left({N}^0\right) $$ O N 0 expression of the mutual information for two intervals in the large N expansion.

scholarly journals Refinement of the Bousso-Engelhardt area law

2016 ◽  
Vol 94 (2) ◽  
Author(s):  
Fabio Sanches ◽  
Sean J. Weinberg
Keyword(s):  
Area Law

scholarly journals UCLA space-time area law model: A persuasive foundation for hadronization

2007 ◽  
Vol 49 (2) ◽  
pp. 569-580 ◽  
Author(s):  
S. Abachi ◽  
C. Buchanan ◽  
A. Chien ◽  
S. Chun ◽  
B. Hartfiel
Keyword(s):  
Space Time ◽  
Area Law
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