Entanglement entropy of a simple quantum system

TL;DR

This paper introduces a straightforward method to compute the entanglement entropy in a spherically symmetric quantum system, demonstrating that it scales with boundary area and aligns with holographic bounds.

Contribution

It presents a simple, scale-invariant approach to calculating entanglement entropy in quantum systems with spherical symmetry, confirming area scaling.

Findings

Entanglement entropy scales with the boundary area.

Results are consistent with holographic entropy bounds.

Method applies to bound states with exponential decay at infinity.

Abstract

We propose a simple approach to the calculation of the entanglement entropy of a spherically symmetric quantum system composed of two separate regions. We consider bound states of the system described by a wave function that is scale invariant and vanishes exponentially at infinity. Our result is in accordance with the holographic bound on entropy and shows that entanglement entropy scales with the area of the boundary.