Unified Gorini-Kossakowski-Lindblad-Sudarshan quantum master equation beyond the secular approximation
А. С. Трушечкин
Abstract
Derivation of a quantum master equation for a system weakly coupled to a bath which takes into account nonsecular effects, but nevertheless has the mathematically correct Gorini-Kossakowski-Lindblad-Sudarshan form (in particular, it preserves positivity of the density operator) and also satisfies the standard thermodynamic properties is a known long-standing problem in theory of open quantum systems. The nonsecular terms are important when some energy levels of the system or their differences (Bohr frequencies) are nearly degenerate. We provide a fully rigorous derivation of such equation based on a formalization of the weak-coupling limit for the general case.
Topics & Concepts
Master equationLindblad equationDegenerate energy levelsBohr modelPhysicsQuantumOperator (biology)Limit (mathematics)Quantum systemStatistical physicsQuantum mechanicsClassical mechanicsMathematical physicsMathematicsMathematical analysisGeneBiochemistryRepressorTranscription factorChemistryQuantum Information and CryptographyAdvanced Thermodynamics and Statistical MechanicsSpectroscopy and Quantum Chemical Studies