Analyses of the transmission of the disorder from a disturbed environment to a spin chain

TL;DR

This paper investigates how irregular classical disturbances affect quantum spin chains, analyzing decoherence, entanglement, and relaxation, and how disorder propagates differently depending on coupling types and using semi-classical analysis.

Contribution

It introduces a detailed analysis of disorder transmission in spin chains under classical dynamical disturbances, highlighting the differential effects of coupling types and semi-classical interpretation.

Findings

Disorder transmission varies with coupling type.

Different spins exhibit different decoherence rates.

Semi-classical analysis helps interpret disorder effects.

Abstract

We study spin chains submitted to disturbed kick trains described by classical dynamical processes. The spin chains are described by Heisenberg and Ising models. We consider decoherence, entanglement and relaxation processes induced by the kick irregularity in the multipartite system (the spin chain). We show that the different couplings transmit the disorder along the chain differently and also to each spin density matrix with different efficiencies. In order to analyze and to interpret the observed effects we use a semi-classical analysis across the Husimi distribution. It consists to consider the classical spin orientation movements. A possibility of conserving the order into the spin chain is finally analyzed.