# Dynamical Phase Diagram of a Quantum Ising Chain with Long Range Interactions

## TL;DR

This paper explores how short-range correlations influence the dynamical phases of quantum Ising chains with long-range interactions, revealing a chaotic region akin to a tossed coin through a cluster mean field approach.

## Contribution

It introduces a cluster mean field theory to incorporate short-range correlations, uncovering a chaotic dynamical phase in long-range quantum Ising chains.

## Key findings

- Short-range correlations induce a chaotic dynamical region.
- Chaotic dynamics resemble a tossed coin.
- Phase diagram details are elucidated.

## Abstract

We investigate the effect of short-range correlations on the dynamical phase diagram of quantum many-body systems with long-range interactions. Focusing on Ising spin chains with power-law decaying interactions and accounting for short-range correlations by a cluster mean field theory we show that short-range correlations are responsible for the emergence of a chaotic dynamical region. Analyzing the fine details of the phase diagram, we show that the resulting chaotic dynamics bears close analogies with that of a tossed coin.