Emergent Supersymmetric Many-Body Systems in Doped Z2 Topological Spin Liquid of the Toric-Code Model

TL;DR

This paper explores how doping a Z2 topological spin liquid in the toric-code model leads to emergent supersymmetric particles and novel quantum states like supersymmetric Bose-Einstein condensation, offering a manipulatable supersymmetric many-body system.

Contribution

It demonstrates the emergence of supersymmetric particles and quantum states in a doped topological spin liquid, revealing new phases of matter.

Findings

Doped holes become supersymmetric particles.

Ground state exhibits supersymmetric Bose-Einstein condensation.

System provides a manipulatable supersymmetric many-body platform.

Abstract

In this paper, we studied the doped Z2 topological spin liquid of the toric-code model. We found that the doped holes become supersymmetric particles. The ground state of the doped Z2 topological spin liquid becomes new matters of quantum states - supersymmetric Bose-Einstein condensation or supersymmetric superfluid. As a result, this system provides a unique example of manipulatable supersymmetric many-body system.