Canonical derivation of the fermionic influence superoperator
Mauro Cirio, Po-Chen Kuo, Yueh-Nan Chen, Franco Nori, Neill Lambert
Abstract
The Feynman-Vernon influence functional is a powerful result, based on path integrals, for describing the reduced state of a system interacting with a Gaussian environment. Here, the authors derive in detail a canonical (i.e., operatorial) form of the influence functional for fermionic environments, and show how it can be used to compute the dynamics under arbitrary parity-symmetry initial conditions as well as to derive generalized versions of the Lindblad master equation and the hierarchical equations of motion.
Topics & Concepts
Path integral formulationMaster equationFeynman diagramGaussianMathematical physicsMotion (physics)MathematicsStatistical physicsSymmetry (geometry)PhysicsEquations of motionParity (physics)Classical mechanicsQuantum mechanicsGeometryQuantumSpectroscopy and Quantum Chemical StudiesQuantum Information and CryptographyQuantum many-body systems