From reversible quantum microdynamics to irreversible quantum transport

  title={From reversible quantum microdynamics to irreversible quantum transport},
  author={Jochen Matthias Rau and Boris Muller},
  journal={Physics Reports},
Understanding probability and irreversibility in the Mori-Zwanzig projection operator formalism
Explaining the emergence of stochastic irreversible macroscopic dynamics from time-reversible deterministic microscopic dynamics is one of the key problems in philosophy of physics. The Mori-Zwanzig
Entropy production and equilibration in Yang-Mills quantum mechanics.
It is shown that the coarse-grained entropy saturates to a value that coincides with the microcanonical entropy corresponding to the energy of the system, which may be used to track the growth of entropy of a quantum system.
The approach to thermal equilibrium in quantized chaotic systems
We consider many-body quantum systems that exhibit quantum chaos, in the sense that the observables of interest act on energy eigenstates like banded random matrices. We study the time-dependent
Entanglement of scales as a possible mechanism for decoherence and thermalization in relativistic heavy ion collisions
Despite the fact that a system created in relativistic heavy ion collisions is an isolated quantum system, which cannot increase its entropy in the course of unitary quantum evolution, hydrodynamical
Nonequilibrium generating functional and dynamics of coarse-grained variables
A generating functional formalism is developed to facilitate the derivation of coarse-grained dynamics of macroscopically relevant variables in various types of many-body problems. The relevant
Mori-Zwanzig projection operator formalism for far-from-equilibrium systems with time-dependent Hamiltonians.
This article derives a generalization of the present Mori-Zwanzig formalism that is able to treat also time-dependent Hamiltonians and is demonstrated for the important case of spin relaxation in a time- dependent external magnetic field.
Quantum dynamics and thermalization for out-of-equilibrium phi^4-theory
The quantum time evolution of ${\ensuremath{\varphi}}^{4}$-field theory for a spatially homogeneous system in 2+1 space-time dimensions is investigated numerically for out-of-equilibrium initial
Dirac particle dynamics of a superconducting circuit
The core concept of quantum simulation is the mapping of an inaccessible quantum system onto a controllable one by identifying analogous dynamics. We map the Dirac equation of relativistic quantum
Electron systems out of equilibrium: Nonequilibrium Green's function approach
This review deals with the state of the art and perspectives of description of nonequilibrium many-body systems using the nonequilibrium Green's function (NGF) method. The basic aim is to describe
Kinetic description of vacuum particle production in collisions of ultrarelativistic nuclei
The dynamics of partons that emerge as the result of quantum tunneling in a spatially uniform time-dependent field is studied under conditions prevalent in ultrarelativistic heavy-ion collisions. A


Memory Effects in Irreversible Thermodynamics
A new generalization of Onsager's theory of irreversible processes is presented. The main purpose is to allow for memory effects or causal time behavior, so that the response to a thermodynamic force
Environment-induced superselection rules
We show how the correlations of a quantum system with other quantum systems may cause one of its observables to behave in a classical manner. In particular, "reduction of the wave packet," postulated
Classical equations for quantum systems.
This work investigates the requirements for coarse grainings to yield decoherent sets of histories that are quasiclassical, i.e., such that the individual histories obey, with high probability, effective classical equations of motion interrupted continually by small fluctuations and occasionally by large ones.
On Quantum Theory of Transport Phenomena
Concerning my paper!) that has appeared in this journal under the above title, I should like first to add the following note to the part where the Einstein relation is discussed. It was Kasuya2) who
Decoherence in quantum cosmology.
  • Halliwell
  • Physics
    Physical review. D, Particles and fields
  • 1989
It is shown, in a simple homogeneous isotropic model, that the density matrix of the Universe will decohere if the long-wavelength modes of an inhomogeneous massless scalar field are traced out and the coherence width decreases as the scale factor increases, which has implications for the arrow of time.
On the Method of the Third Quantization.
The mathematical formalism presented herel ) owes its ongIn to the recent development of quantum electrodynamics. The theory of Tomonaga2) and Schwinger,S) which deals with the reaction of the
Statistical-Mechanical Theory of Irreversible Processes : I. General Theory and Simple Applications to Magnetic and Conduction Problems
A general type of fluctuation-dissipation theorem is discussed to show that the physical quantities such as complex susceptibility of magnetic or electric polarization and complex conductivity for