# Open Ising Model Perturbed by Classical Colored Noises

## TL;DR

This paper explores how non-Markovian colored noise influences the relaxation dynamics of an open Ising model in a superconducting circuit, revealing that noise color significantly affects metastability and relaxation rates.

## Contribution

It provides a detailed analysis of how white, pink, and blue noise differently impact the non-Markovian dynamics of a quantum many-body system.

## Key findings

- Blue noise weakens relaxation due to negative memory effects.
- Pink noise enhances relaxation through positive memory effects.
- Metastable behavior is observed in strong inter-qubit interactions.

## Abstract

We investigate the non-Markovian dynamics of an open Ising model simulated by a superconducting circuit. The quantum many-body system is weakly coupled to a white, pink- or blue-colored environment. The relaxation of the system in the strong inter-qubit interaction regime shows a metastable behaviour. In comparison with the dissipative system in the Markovian limit, the negative memory of the blue-colored noise weakens the system's relaxation. However, for the pink-colored noise the relaxation rate of the system is enhanced due to the positive memory effect. The understanding of quantum many-body systems responding to different colored noise fields is necessary for designing the environment of superconducting qubits in a large scale quantum processor.