Non-Markovian evolution of multi-level system interacting with several reservoirs. Exact and approximate

Abstract

An exactly solvable model for the multi-level system interacting with several reservoirs at zero temperatures is presented. Population decay rates and decoherence rates predicted by exact solution and several approximate master equations, which are widespread in physical literature, are compared. The space of parameters is classified with respect to different inequities between the exact and approximate rates.

The research was supported by RSF (project No. 17-71-20154)

References in corpus (24)

• Environment-Assisted Quantum Walks in Photosynthetic Energy Transfer
• Dephasing assisted transport: Quantum networks and biomolecules
• Environment-Assisted Quantum Transport
• On the Local and Global Approaches to Quantum Transport and Violation of the Second-law of Thermodynamics
• Non-Markovian quantum dynamics: local versus non-local
• Non-Markovian generalization of the Lindblad theory of open quantum systems
• Theory of Pseudomodes in Quantum Optical Processes
• Perturbative treatment of inter-site couplings in the local description of open quantum networks
• Out of equilibrium open quantum systems: a comparison of approximate Quantum Master Equation approaches with exact results
• Machine learning non-Markovian quantum dynamics
• The Rotating-Wave Approximation: Consistency and Applicability from an Open Quantum System Analysis
• Open Quantum System Dynamics: recovering positivity of the Redfield equation via Partial-Secular Approximation
• Identifying the quantum correlations in light-harvesting complexes
• Secular vs. Non-secular Redfield Dynamics and Fano Coherences in Incoherent Excitation: An Experimental Proposal
• Calculation of coherences in Foerster and modified Redfield theories of excitation energy transfer
• Generalized qubit portrait of the qutrit state density matrix
• Feshbach projection formalism for open quantum systems
• Theory of non-Markovian decay of a cascade atom in high-Q cavities and photonic band-gap materials
• Pseudomode approach and vibronic non-Markovian phenomena in light harvesting complexes
• Subadditivity condition for spin-tomograms and density matrices of arbitrary composite and noncomposite qudit systems
• Time deformations of master equations
• Flows in nonequilibrium quantum systems and quantum photosynthesis
• New inequality for density matrices of single qudit states
• Redfield reduced dynamics and entanglement

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