Quantum simulation of spin-1/2 XYZ model using solid-state spin centers

TL;DR

This paper proposes a solid-state quantum simulator platform using implanted spin centers in semiconductors to emulate the spin-1/2 XYZ model, revealing diverse quantum phases and critical behaviors tunable by magnetic field and orientation.

Contribution

It introduces a novel solid-state platform for quantum simulation that maps spin-1 centers to an effective spin-1/2 XYZ model with controllable quantum phases.

Findings

System can be tuned to isotropic Heisenberg and transverse-field Ising models.

Identifies a critical floating phase with BKT and Pokrovsky-Talapov transitions.

First solid-state system proposed for simulating the floating phase.

Abstract

In this work we propose a novel solid-state platform for creating quantum simulators based on implanted spin centers in semiconductors. We show that under the presence of an external magnetic field, an array of $S=1$ spin centers interacting through magnetic dipole-dipole interaction can be mapped into an effective spin-half system equivalent to the XYZ model in an external magnetic field. Interestingly, this system presents a wide range of quantum phases and critical behaviors that can be controlled via magnetic field and orientational arrangement of the spin centers. We demonstrate our interacting spin chain can be tuned to both isotropic Heisenberg model and transverse-field Ising universality class. Notably, our model contains a line where the system is in a critical floating phase that terminates at Berezinskii-Kosterlitz-Thouless and Pokrovsky-Talapov transition points. We propose this system as the first solid-state quantum simulator for the floating phase based on spin centers.