Numerical and quantum simulation of a quantum disentangled liquid

TL;DR

This paper investigates the properties of quantum disentangled liquids (QDL) through numerical simulations and introduces a quantum circuit that successfully simulates QDL states, confirming their entanglement characteristics.

Contribution

The study provides a detailed numerical analysis of QDLs and introduces a quantum circuit model that accurately simulates QDL states, validating their entanglement features.

Findings

Initial measurements on light particles induce volume-law entanglement in heavy particles

Entanglement entropy approaches maximum with increasing system-to-subsystem size ratio

Quantum circuit simulation aligns with numerical results, confirming the QDL state

Abstract

The illustrative wave function for a quantum disentangled liquid (QDL) composed of light and heavy particles is examined within numerical simulations. Initial measurement on light particles gives rise to the volume law of the entanglement entropy of the heavy particles subsystem. The entropy reaches its maximum value as the ratio of the system to subsystem sizes increases. The standard deviation of entanglement entropy from its thermodynamic limit due to the initial configuration of the light particle is diminished within ensemble averaging. We have introduced a quantum circuit to simulate the underlying QDL state. The results of the quantum simulation are in agreement with the numerical simulations which confirms that the introduced circuit realizes a QDL state.