Entanglement Entropy Bounds for Droplet States of the XXZ Model on the Strip

2023/05/01 by Christoph Fischbacher, Fischbacher, Christoph, Lee E. Fisher +1
Economics, Econometrics and Finance · Physics and Astronomy · #82B20 #Complex Systems and Time Series Analysis #FOS: Physical sciences #Mathematical Physics (math-ph) #Statistical Mechanics and Entropy #Theoretical and Computational Physics

paper · pdf · doi:10.48550/arxiv.2305.00649

openalex publication_date 2023/05/01 · openalex created_date 2023/05/03 · openalex updated_date 2026/07/28

Abstract

The scaling behavior of the entanglement entropy of droplet states in Heisenberg spin-1/2 XXZ model defined on a strip of width M under the presence of a non-negative background magnetic field is investigated. Without any assumptions on V, a logarithmically corrected area law is shown. Assuming that the values of V are i.i.d. random variables, an area law in expectation is obtained.

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