Time Reversal Invariance of quantum kinetic equations: Nonequilibrium Green Functions Formalism

Abstract

Time reversal symmetry is a fundamental property of many quantum mechanical systems. The relation between statistical physics and time reversal is subtle and not all statistical theories conserve this particular symmetry, most notably hydrodynamic equations and kinetic equations such as the Boltzmann equation. In this article it is shown analytically that quantum kinetic generalizations of the Boltzmann equation that are derived using the nonequilibrium Green functions formalism as well as all approximations that stem from $\Phi$-derivable selfenergies are time reversal invariant.

References in corpus (10)

• Leptogenesis from first principles in the resonant regime
• Influence of carrier-carrier and carrier-phonon correlations on optical absorption and gain in quantum-dot systems
• Hubbard nanoclusters far from equilibrium
• Efficient grid-based method in nonequilibrium Green's function calculations. Application to model atoms and molecules
• Comparative study of many-body perturbation theory and time-dependent density functional theory in the out-of-equilibrium Anderson model
• Quantum Kinetic Theory for Laser Plasmas. Dynamical Screening in Strong Fields
• Relaxation properties of the quantum kinetics of carrier-LO-phonon interaction in quantum wells and quantum dots
• Towards a nonequilibrium Green's function description of nuclear reactions: one-dimensional mean-field dynamics
• Time Reversal Invariance of quantum kinetic equations II: Density operator formalism
• Comment on "On the unphysical solutions of the Kadanoff--Baym equations in linear response: Correlation-induced homogeneous density-distribution and attractors"

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• Time Reversal Invariance of quantum kinetic equations II: Density operator formalism
• Comment on "On the unphysical solutions of the Kadanoff--Baym equations in linear response: Correlation-induced homogeneous density-distribution and attractors"
• A Dyson equation for non-equilibrium Green's functions in the partition-free setting
• Non-Markovian quantum kinetic simulations of uniform dense plasmas: mitigating the aliasing problem
• Thermal transport in crystals: from the quantum Dyson equation to mesoscopic phonon hydrodynamics