On the Dynamics of XY Spin Chains with Impurities
Giuseppe Genovese
TL;DR
This paper develops a theoretical framework for analyzing the dynamics of inhomogeneous XY spin chains with impurities, focusing on models mappable to quadratic fermionic Hamiltonians, and discusses their local and global existence.
Contribution
It introduces a formalism for studying inhomogeneous spin chains with impurities, extending the analysis to models that can be mapped to quadratic fermion systems.
Findings
Established local and global existence results for the dynamics.
Provided a formal setup applicable to inhomogeneous spin chains with impurities.
Linked spin chain models to quadratic fermion Hamiltonians.
Abstract
We provide a theoretical set up for studying the dynamics in quantum spin chain models with inhomogeneous two-body interaction. We frame in our formalism models that can be mapped into a fermion system with a quadratic Hamiltonian. Local and global existence results of the dynamics are discussed.
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