Generalized Gibbs ensembles in weakly interacting dissipative systems and digital quantum computers

TL;DR

This paper explores using digital quantum computers to simulate weakly dissipative integrable systems, demonstrating the activation of integrable effects and potential stabilization of exotic states in quantum materials.

Contribution

It introduces a digital reset protocol for simulating dissipative effects in integrable systems, offering a new approach compared to traditional Lindblad evolution.

Findings

Digital reset protocol effectively simulates weak dissipation effects

Inherent noise does not critically alter the integrable physics

Potential for stabilizing exotic quantum states in materials

Abstract

Identifying use cases with superconducting circuits not critically affected by the inherent noise is a pertinent challenge. Here, we propose using a digital quantum computer to showcase the activation of integrable effects in weakly dissipative integrable systems. Dissipation is realized by coupling the system's qubits to ancillary ones that are periodically reset. We compare the digital reset protocol to the usual Lindblad continuous-time evolution by considering non-interacting integrable systems dynamics, which can be analyzed using scattering between the Bogoliubov quasiparticles caused by the dissipation. If not dominant, the inherent noise would cause extra scattering but would not critically change the physics. A corresponding quantum computer implementation would illuminate the possibilities of stabilizing exotic states in nearly integrable quantum materials.