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Related papers: A quantum Boltzmann equation for strongly correlat…

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We develop a Monte Carlo wave function algorithm for the quantum linear Boltzmann equation, a Markovian master equation describing the quantum motion of a test particle interacting with the particles of an environmental background gas. The…

Quantum Physics · Physics 2010-09-28 Marc Busse , Piotr Pietrulewicz , Heinz-Peter Breuer , Klaus Hornberger

We present a systematic microscopic derivation of the semiclassical Boltzmann equation for band structures with the finite Berry curvature based on Keldysh technique of nonequilibrium systems. In the analysis, an ac electrical driving field…

Mesoscale and Nanoscale Physics · Physics 2021-12-13 Elio J. König , Alex Levchenko

The description of the dynamics of correlated electrons in quantum impurity models is typically described within the nonequilibrium Green function formalism combined with a suitable approximation. One common approach is based on the…

Strongly Correlated Electrons · Physics 2013-06-26 Tal J. Levy , Eran Rabani

The semi-classical Bloch-Boltzmann theory is at the heart of our understanding of conduction in solids, ranging from metals to semi-conductors. Physical systems that are beyond the range of applicability of this theory are thus of…

Materials Science · Physics 2007-12-18 Didier Mayou , Guy Trambly De Laissardière

Within the framework of the semiclassical approximation, we derive the Boltzmann equation describing the dynamics of colorless plasmons in a hot QCD plasma. The probability of the plasmon-plasmon scattering at the leading order in the…

High Energy Physics - Phenomenology · Physics 2008-11-26 Yu. A. Markov , M. A. Markova

Calculations of the evolution of cosmological perturbations generally involve solution of a large number of coupled differential equations to describe the evolution of the multipole moments of the distribution of photon intensities and…

Cosmology and Nongalactic Astrophysics · Physics 2021-09-15 Marc Kamionkowski

Deviations from kinetic equilibrium of massive particles caused by the universe expansion are calculated analytically in the Boltzmann approximation. For the case of an energy independent amplitude of elastic scattering, an exact partial…

High Energy Physics - Phenomenology · Physics 2009-10-28 A. D. Dolgov

Quantum impurity models describe an atom or molecule embedded in a host material with which it can exchange electrons. They are basic to nanoscience as representations of quantum dots and molecular conductors and play an increasingly…

Strongly Correlated Electrons · Physics 2011-05-09 Emanuel Gull , Andrew J. Millis , Alexander I. Lichtenstein , Alexey N. Rubtsov , Matthias Troyer , Philipp Werner

Quite a many electron transport problems in condensed matter physics are analyzed with a quasiparticle Boltzmann equation. For sufficiently slowly varying weak external potentials it can be derived from the basic equations of quantum…

Materials Science · Physics 2024-01-12 F. X. Bronold , F. Willert

A quantitative quantum field approach with non-local order parameters is presented for a very weakly interacting, dilute Bose gas. Within the presented model, which assumes the constraint of particle number conservation at constant average…

Quantum Gases · Physics 2025-03-28 Alexej Schelle

We consider particle oscillations and their damping in second-quantized form. We find that the damping or "decoherence" may be described by a Boltzmann-like collision integral with "non-abelian blocking factors" (fermions). Earlier results…

High Energy Physics - Phenomenology · Physics 2008-11-26 G. Raffelt , G. Sigl , L. Stodolsky

A way to construct Boltzmann entropy, i.e., the entropy as a function of a microscopic pure state, for quantum field systems is proposed. Operators that shift the field in wavevector space are used in the construction. By employing an…

Statistical Mechanics · Physics 2020-03-25 Kyo Yoshida

The semiclassical Boltzmann equation is widely used to study transport effects. However, being semiclassical and borrowing heavily from classical mechanics, the formalism calls for verification from the perspective of quantum mechanics.…

Mesoscale and Nanoscale Physics · Physics 2025-08-05 Da Ma , Zhi-Fan Zhang , Hua Jiang , X. C. Xie

Simulations are performed of a small quantum system interacting with a quantum environment. The system consists of various initial states of two harmonic oscillators coupled to give normal modes. The environment is "designed" by its level…

Statistical Mechanics · Physics 2015-06-15 George L. Barnes , Michael E. Kellman

We prove that for a combined system of classical and quantum particles, it is possible to write a dynamics for the classical particles that incorporates in a natural way the Boltzmann equilibrium population for the quantum subsystem. In…

Other Condensed Matter · Physics 2010-09-01 J. L. Alonso , A. Castro , P. Echenique , V. Polo , A. Rubio , D. Zueco

The study of nonequilibrium phenomena in correlated lattice systems has developed into an active and exciting branch of condensed matter physics. This research field provides rich new insights that could not be obtained from the study of…

Strongly Correlated Electrons · Physics 2014-07-11 Hideo Aoki , Naoto Tsuji , Martin Eckstein , Marcus Kollar , Takashi Oka , Philipp Werner

A new statistical model for the combined effects of decoherence, energy redistribution and dissipation on electron transport in large quantum systems is introduced. The essential idea is to consider the electron phase information to be lost…

Mesoscale and Nanoscale Physics · Physics 2018-04-26 Thomas Stegmann , Orsolya Ujsághy , Dietrich E. Wolf

Extracting macroscopic properties of a system from microscopic interactions has always been an interesting topic with the most diverse applications. Here, we use the quantum Boltzmann equation to investigate the density matrix evolution of…

High Energy Physics - Phenomenology · Physics 2021-06-15 Hassan Manshouri , Ahmad Hoseinpour , Moslem Zarei

At present, there are many methods of quantum entanglement of particles with an electromagnetic field. Most methods have a low probability of quantum entanglement and not an exact theoretical apparatus based on an approximate solution of…

Quantum Physics · Physics 2017-09-15 Dmitry Makarov

In recent years, quantum Boltzmann methods have gained more and more interest as they might provide a viable path towards solving fluid dynamics problems on quantum computers once this emerging compute technology has matured and…

Quantum Physics · Physics 2025-01-22 Merel A. Schalkers , Matthias Möller