Spin dynamics and dark particle in a weak-coupled quantum Ising ladder with 𝒟_8^(1) spectrum
arxiv(2024)
摘要
Emergent Ising_h^2 integrability is anticipated in a quantum Ising ladder
composed of two weakly coupled, critical transverse field Ising chains. This
integrable system is remarkable for including eight types of massive
relativistic particles, with their scattering matrix and spectrum characterized
by the 𝒟_8^(1) Lie algebra. In this article we delve into the
zero-temperature spin dynamics of this integrable quantum Ising ladder. By
computing the dynamical structure factors from analytical form factor approach,
we clearly identify dispersive single-particle excitations of (anti-) soliton
and breathers as well as their multi-particle continua in the spin dynamical
spectrum. We show that the selection rule to the form factor, which is inherent
in the intrinsic charge-parity 𝒞 of the Ising_h^2 particles as
well as the local spin operators, causes a significant result that
𝒞-odd particles, termed as dark particles, cannot be directly
excited from the ground state through any local or quasi-local operations.
Furthermore, the lightest dark particle is proposed to be generated and
controlled through resonant absorption-resonant emission processes. The long
lifetime of dark particle suggests its potential as a stable qubit for
advancing quantum information technology.
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