Operator-language Feynman rules for driven-dissipative quantum systems: from mean field to non-Gaussian photon correlations

arXiv:2610.00667 · quant-ph · Submitted 2026-09-30 · Read on arXiv

quant-ph

Submitted: 2026-09-30

Updated: 2026-09-30

Terminology

• Core — 12× in this paper · explained in 2 episodes
• Additivity — 8× in this paper · explained in 1 episode
• Pruning — 8× in this paper · explained in 4 episodes
• Trace — 7× in this paper · explained in 2 episodes
• Benchmark — 6× in this paper · explained in 2 episodes
• Quantization — 6× in this paper · explained in 12 episodes
• Accuracy — 5× in this paper · explained in 1 episode
• Lindblad master equation — 4× in this paper · explained in 2 episodes
• Cluster expansion — 2× in this paper · explained in 2 episodes
• Phase Transitions — 2× in this paper · explained in 2 episodes
• Bosonization — 1× in this paper · explained in 2 episodes
• Conservation Laws — 1× in this paper · explained in 3 episodes
• Consistency — 1× in this paper · explained in 3 episodes
• Generalization — 1× in this paper · explained in 13 episodes
• Hilbert Space — 1× in this paper · explained in 2 episodes
• Hubbard Model — 1× in this paper · explained in 3 episodes
• Lindblad Dynamics — 1× in this paper · explained in 2 episodes

Sources

• Corner space renormalization method for driven-dissipative 2D correlated systems
• Keldysh Field Theory for Driven Open Quantum Systems
• Nonequilibrium many-body steady states via Keldysh formalism
• Keldysh meets Lindblad: Correlated Gain and Loss in Higher-Order Perturbation Theory
• Non-equilibrium diagrammatic approach to strongly interacting photons
• Open quantum systems beyond Fermi's golden rule: Diagrammatic expansion of the steady-state time-convolutionless master equation
• Resummation for Nonequilibrium Perturbation Theory and Application to Open Quantum Lattices
• Third quantization: a general method to solve master equations for quadratic open Fermi systems
• Quantization over boson operator spaces
• Exact solution of Markovian master equations for quadratic fermi systems: thermal baths, open XY spin chains, and non-equilibrium phase transition
• Solving quasi-free and quadratic Lindblad master equations for open fermionic and bosonic systems
• Third quantization of open quantum systems: new dissipative symmetries and connections to phase-space and Keldysh field theory formulations
• Exact damping-basis continued fractions for few-atom lasers: collective correlations beyond second-order cumulant closure
• Many-Body Perturbation Theory for Driven Dissipative Quasiparticle Flows and Fluctuations
• Diverging current fluctuations in critical Kerr resonators
• Critical behavior of dissipative two-dimensional spin lattices

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