Dark states in an integrable XY central spin model

Abstract

Eigenstates of central spin models in which the central spin is unentangled with the environment are known as dark states. They have recently been observed in a class of integrable XX models. Here we find that dark states are present in XY models, but only for particular configurations of the central spin magnetic field. We show this via an explicit construction of the Bethe states.

21 pages

References in corpus (13)

• Nuclear spin physics in quantum dots: an optical investigation
• Scalable Architecture for a Room Temperature Solid-State Quantum Information Processor
• Eigenstate thermalization hypothesis (ETH) and integrability in quantum spin chains
• Controlling a mesoscopic spin environment by quantum bit manipulation
• Entanglement and work extraction in the central-spin quantum battery
• Semiclassical dynamics and long time asymptotics of the central-spin problem in a quantum dot
• Integrability and dark states in an anisotropic central spin model
• Read-Green resonances in a topological superconductor coupled to a bath
• Completeness of the Bethe states for the rational, spin-1/2 Richardson--Gaudin system
• Persistent dark states in anisotropic central spin models
• Strong-coupling emergence of dark states in XX central spin models
• Integrability and quench dynamics in the spin-1 central spin XX model
• Ground-state energy of a Richardson-Gaudin integrable BCS model