Quantum Dynamics with Stochastic Non-Hermitian Hamiltonians
Quantum Physics
2025-07-09 v2 Statistical Mechanics
Abstract
We study the quantum dynamics generated by a non-Hermitian Hamiltonian subject to stochastic perturbations in its anti-Hermitian part, describing fluctuating gains and losses. The dynamics averaged over the noise is described by an `anti-dephasing' master equation. We characterize the resulting state evolution and analyze its purity. The properties of such dynamics are illustrated in a stochastic dissipative qubit. Our analytical results show that adding noise allows for a rich control of the dynamics, stabilizing the lossy state and making state purification possible to a greater variety of steady states.
Cite
@article{arxiv.2407.07746,
title = {Quantum Dynamics with Stochastic Non-Hermitian Hamiltonians},
author = {Pablo Martinez-Azcona and Aritra Kundu and Avadh Saxena and Adolfo del Campo and Aurelia Chenu},
journal= {arXiv preprint arXiv:2407.07746},
year = {2025}
}
Comments
v2: Accepted in Phys. Rev. Lett. 4+10 pages. New appendices: B, D.1, G