# Lindblad dissipative dynamics in presence of phase coexistence

## TL;DR

This paper explores how Lindblad dissipative dynamics behave near first order phase transitions in a quantum Ising model, revealing that phase-specific jump operators are essential for capturing complex non-equilibrium phenomena.

## Contribution

It demonstrates that accurate modeling of dissipative dynamics near phase coexistence requires phase-specific Lindblad jump operators, highlighting the importance of phase considerations in quantum dissipative systems.

## Key findings

- Physically meaningful results depend on phase-specific jump operators.
- Exotic phenomena like the Mpemba effect can be captured.
- Standard Lindblad approaches may fail without phase differentiation.

## Abstract

We investigate the dissipative dynamics yielded by the Lindblad equation within the coexistence region around a first order phase transition. In particular, we consider an exactly-solvable fullyconnected quantum Ising model with n-spin exchange (n > 2) - the prototype of quantum first order phase transitions - and several variants of the Lindblad equations. We show that physically sound results, including exotic non-equilibrium phenomena like the Mpemba effect, can be obtained only when the Lindblad equation involves jump operators defined for each of the coexisting phases, whether stable or metastable.