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Generalized Master Equation Approach to Time-Dependent Many-Body Transport
Valeriu Moldoveanu1, Andrei Manolescu2, Vidar Gudmundsson3
1National Institute of Materials Physics, Atomistilor 405A, 077125 Magurele, Romania.
Entropy (Basel, Switzerland)
|December 3, 2020
Summary
This study introduces a generalized master equation (GME) to model transient transport in mesoscopic systems, accounting for Coulomb interactions and electron-photon coupling. The GME framework accurately captures complex dynamics in quantum dots and nanowires.
Area of Science:
- Condensed Matter Physics
- Quantum Optics
- Mesoscopic Physics
Background:
- Transient transport in interacting mesoscopic systems is complex.
- Existing models like steady-state Markov-Lindblad equations are insufficient for realistic systems.
- Coulomb interaction and electron-photon coupling significantly influence system dynamics.
Purpose of the Study:
- To present a generalized master equation (GME) as a formal framework for transient transport.
- To investigate the effects of Coulomb interaction and electron-photon coupling.
- To address numerical challenges in modeling realistic mesoscopic systems.
Main Methods:
- Derivation of the GME using the Nakajima-Zwanzig formalism.
- Numerical solution of the GME for lattice and continuous models.
- Analysis of many-body states and quantum correlations.
Main Results:
- The GME successfully captures Coulomb interaction and electron-photon coupling effects.
- Dynamics of many-body states in 2D nanowires and quantum dots were analyzed.
- Rabi oscillations of photocurrent in a cavity-embedded double-dot system were obtained.
Conclusions:
- The GME provides a suitable framework for studying transient transport in interacting mesoscopic systems.
- The study highlights the importance of many-body effects and quantum correlations.
- A many-body Markovian GME for cavity-coupled systems was presented.
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