# A New Quenched $XY$ model with Nonusual "Exotic" Interactions

## TL;DR

This paper introduces a novel exotic quantum XY model with nonstandard interactions, derived from a stochastic operator related to information spread and opinion dynamics, differing from traditional contact process universality classes.

## Contribution

It proposes a new exotic quantum XY model with parameters dependent on local site interactions and impurities, expanding the understanding of such models beyond existing universality classes.

## Key findings

- The stochastic operator does not belong to the CP universality class.
- The model's parameters are functions of local site interactions and impurities.
- The structure reveals a new class of exotic quantum XY models.

## Abstract

Human beings live in a networked world in which information spreads very fast thanks to the advances in technology. In the decision processes or opinion formation there are different ideas of what is collectively good but they tend to go against the self interest of a large amount of agents. Here we show that the associated stochastic operator ($\mathfrak{\widehat{W^\aleph}}_{\rho,\Delta,r}$) proposed in [43] for describe phenomena, does not belong to a CP (Contact Processes) universality class [35]. However, its mathematical structure corresponds to a new Exotic quantum XY model, but unprecedently, their parameters is a "function" of the interaction between the local sities $(i-1,i,i+1)$, and with the impurity present at the same site $i$.