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Published on: November 11, 2013
Memory effects and nonequilibrium transport in open many-particle quantum systems
Irena Knezevic1, David K Ferry
1Department of Electrical Engineering and Center for Solid State Electronics Research, Arizona State University, Tempe, Arizona 85287-6206, USA. irenak@asu.edu
Treating mesoscopic systems as open is crucial for understanding relaxation and transport. This study generalizes nonequilibrium Green's function formalism to open systems, revealing distinct memory and entanglement effects in transient transport.
Area of Science:
- Condensed matter physics
- Quantum transport phenomena
- Many-body theory
Background:
- Understanding relaxation mechanisms and far-from-equilibrium transport in mesoscopic structures is essential.
- Current formalisms often treat systems as closed, neglecting environmental interactions.
- Mesoscopic systems are inherently open and coupled to their environment.
Purpose of the Study:
- Generalize the Kadanoff-Baym-Keldysh nonequilibrium Green's function formalism for open systems.
- Analyze the influence of memory effects and initial environment state on open-system transport.
- Derive accurate transport equations for transient and steady-state regimes in open mesoscopic systems.
Main Methods:
- Generalization of Kadanoff-Baym-Keldysh formalism to open systems.
- Definition and analysis of two-time correlation functions.
- Derivation of transport equations accounting for system-environment coupling.
Main Results:
- Two-time correlation functions in the transient regime exhibit distinct closed-system, entanglement, and memory terms.
- Environmental influence cannot be eliminated by initial state choice; closed-system approximation is invalid for significant coupling.
- In far-from-equilibrium steady states, correlation functions regain a closed-system-like form with modified Hamiltonians.
Conclusions:
- The transient and steady-state regimes differ in the relative importance of entanglement and memory terms.
- Accurate theoretical investigation of nonequilibrium quasiparticle transport requires distinguishing these regimes.
- Environmental coupling significantly impacts transport, necessitating open-system treatments.
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