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 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 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 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

scholarly journals LOOP EQUATION AND AREA LAW IN TURBULENCE

1994 ◽  
Vol 09 (08) ◽  
pp. 1197-1238 ◽  
Author(s):  
A. A. MIGDAL
Keyword(s):  
Fluid Dynamics ◽  
Summer School ◽  
Spatial Scales ◽  
Inertial Range ◽  
Coordinate Space ◽  
Extended Version ◽  
Closed Loops ◽  
Loop Equation ◽  
Minimal Area ◽  
Area Law

This is an extended version of the preprint,4 based on the lectures given at Cargese Summer School and Chernogolovka Summer School in 1993. The incompressible fluid dynamics is reformulated as dynamics of closed loops C in coordinate space. We derive explicit functional equation for the pdf of the circulation PC (Γ) which allows the scaling solutions in the inertial range of spatial scales. The pdf decays as exponential of some power of Γ3/A2, where A is the minimal area inside the loop.

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