Spectral Green's-function method in driven open quantum dynamics

Karabanov, A.; K�ckenberger, W.

Abstract

A method based on spectral Green's functions is presented for the simulation of driven open quantum dynamics that can be described by the Lindblad master equation in Liouville density operator space. The method extends the Hilbert space formalism and provides simple algebraic connections between the driven and nondriven dynamics in the spectral frequency domain. The formalism shows remarkable analogies to the use of Green's functions in quantum field theory, such as the elementary excitation energies and the Dyson self-energy equation. To demonstrate its potential, we apply the method to a coherently driven dissipative ensemble of two-level systems comprising a single “active” subsystem interacting with N “passive” subsystems—a generic model with important applications in quantum optics and dynamic nuclear polarization. The method dramatically reduces the computational cost compared with simulations based on solving the full master equation, thus making it possible to study and optimize many-body correlated states up to the physically realistic limit of an arbitrarily large N.

Citation

Karabanov, A., & Köckenberger, W. (2021). Spectral Green's-function method in driven open quantum dynamics. Physical Review A, 103(1), Article 012224. https://doi.org/10.1103/physreva.103.012224

• Journal Article Type: Article
• Acceptance Date: Jan 15, 2021
• Online Publication Date: Jan 27, 2021
• Publication Date: 2021-01
• Deposit Date: Jun 18, 2021
• Publicly Available Date: Jun 18, 2021
• Journal: Physical Review A
• Print ISSN: 2469-9926
• Electronic ISSN: 2469-9934
• Publisher: American Physical Society
• Peer Reviewed: Peer Reviewed
• Volume: 103
• Issue: 1
• Article Number: 012224
• DOI: https://doi.org/10.1103/physreva.103.012224
• Public URL: https://nottingham-repository.worktribe.com/output/5276143
• Publisher URL: https://journals.aps.org/pra/abstract/10.1103/PhysRevA.103.012224