Steady-State Quantum Zeno Effect of Driven-Dissipative Bosons with Dynamical Mean-Field Theory

TL;DR

This paper investigates the steady-state quantum Zeno effect in a driven-dissipative Bose-Hubbard model using dynamical mean-field theory, revealing how strong two-particle losses lead to a simplified effective model with suppressed bath occupations.

Contribution

It introduces a DMFT approach to analyze the quantum Zeno effect in driven-dissipative bosonic systems, showing how the bath structure simplifies in the Zeno regime and deriving an effective dissipative dimer model.

Findings

Quantum Zeno effect observed in the stationary state.

Bath occupation becomes exponentially suppressed in the Zeno regime.

Emergence of an effective dissipative dimer model.

Abstract

We study a driven-dissipative Bose-Hubbard model in presence of two-particle losses and an incoherent single-particle drive on each lattice site, leading to a finite-density stationary state. Using dynamical mean-field theory (DMFT) and an impurity solver based on exact diagonalization of the associated Lindbladian, we investigate the regime of strong two-particle losses. Here, a stationary-state quantum Zeno effect emerges, as can be seen in the on-site occupation and spectral function. We show that DMFT captures this effect through its self-consistent bath. We show that, in the deep Zeno regime, the bath structure simplifies, with the occupation of all bath sites except one becoming exponentially suppressed. As a result, an effective dissipative hard-core Bose-Hubbard dimer model emerges, where the auxiliary bath site has single-particle dissipation controlled by the Zeno dissipative scale.