Supersymmetrization of the Franke-Gorini-Kossakowski-Lindblad-Sudarshan equation

Abstract

We investigate departures from the Hamiltonian dynamics such as the quantum decoherence in a supersymmetric quantum system due to its interaction with the environment. The effective description is given by the Franke-Gorini-Kossakowski-Lindblad-Sudarshan (FGKLS) equation. The prescription for supersymmetrization of this equation is elaborated and pairs of related isospectral quantum systems are built. We present some instructive examples of such a construction.

16 pages; journal version

References in corpus (6)

• Quantum States and Phases in Driven Open Quantum Systems with Cold Atoms
• A Brief History of the GKLS Equation
• Quantum Mechanics Without State Vectors
• Trends in supersymmetric quantum mechanics
• SUSY approach to Pauli Hamiltonians with an axial symmetry
• Dissipation-driven integrable fermionic systems: from graded Yangians to exact nonequilibrium steady states

Cited by in corpus (2)

• Hamiltonian of mean force in the weak-coupling and high-temperature approximations and refined quantum master equations
• Applied Supersymmetry