Game of Nons: Non-Gaussian Nonunitary Environments with Nonlinear Coupling
Abstract
We develop a perturbative framework for systems coupled quadratically to bosonic environments with quadratic Hamiltonians and linear Lindblad operators. The method applies to both single-mode and multimode environments whose initial states may be non-Gaussian and nonstationary. By combining linear evolution in a doubled operator space with a characteristic-function representation, we express ordered multitime environmental correlation functions in terms of derivatives of the initial characteristic function. These correlation functions enter a recursive construction of the time-convolutionless generator at arbitrary finite order. We illustrate the method with a qubit coupled to a damped mode via a two-photon interaction. Initial Fock and thermal states with identical first and second field moments produce different second-order generators through their fourth moments.
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BibTeX
@misc{karasev2026game,
title = {{Game of Nons: Non-Gaussian Nonunitary Environments with Nonlinear Coupling}},
author = {Artem Karasev and Alexander Teretenkov},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.05454},
eprint = {2610.05454},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.05454},
}
RIS
TY - UNPB
TI - Game of Nons: Non-Gaussian Nonunitary Environments with Nonlinear Coupling
AU - Artem Karasev
AU - Alexander Teretenkov
PY - 2026
DA - 2026/10/04
PB - arXiv
DO - 10.48550/arxiv.2610.05454
UR - https://arxiv.org/abs/2610.05454
AB - We develop a perturbative framework for systems coupled quadratically to bosonic environments with quadratic Hamiltonians and linear Lindblad operators. The method applies to both single-mode and multimode environments whose initial states may be non-Gaussian and nonstationary. By combining linear evolution in a doubled operator space with a characteristic-function representation, we express ordered multitime environmental correlation functions in terms of derivatives of the initial characteristic function. These correlation functions enter a recursive construction of the time-convolutionless generator at arbitrary finite order. We illustrate the method with a qubit coupled to a damped mode via a two-photon interaction. Initial Fock and thermal states with identical first and second field moments produce different second-order generators through their fourth moments.
ER -