## 89 Citations

Understanding probability and irreversibility in the Mori-Zwanzig projection operator formalism

- Physics
- 2021

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.

- PhysicsPhysical review. E, Statistical, nonlinear, and soft matter physics
- 2012

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

- Physics
- 1999

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

- Physics
- 2014

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

- Physics
- 2004

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.

- PhysicsPhysical review. E
- 2019

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

- Physics
- 2004

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

- PhysicsPhysical Review A
- 2019

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

- Physics
- 2014

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

- Physics
- 2001

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…

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- Physics
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- Physics
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Environment-induced superselection rules

- Physics
- 1982

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Classical equations for quantum systems.

- PhysicsPhysical review. D, Particles and fields
- 1993

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On Quantum Theory of Transport Phenomena

- Physics
- 1959

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- PhysicsPhysical 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.

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- Physics
- 1949

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Statistical-Mechanical Theory of Irreversible Processes : I. General Theory and Simple Applications to Magnetic and Conduction Problems

- Physics
- 1957

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…