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Linear response theory serves as a fundamental tool in the study of quantum transport, extensively employed to elucidate fundamental mechanisms related to the nature of the particles involved and the underlying symmetries. This framework…

Mesoscale and Nanoscale Physics · Physics 2025-10-07 Gu Zhang , Igor Gornyi , Yuval Gefen

This paper surveys some recent results on the theory of quantum linear systems and presents them within a unified framework. Quantum linear systems are a class of systems whose dynamics, which are described by the laws of quantum mechanics,…

Quantum Physics · Physics 2016-03-17 Ian R. Petersen

Starting from a general $N$-band Hamiltonian with weak spatial and temporal variations, we derive a low energy effective theory for transport within one or several overlapping bands. To this end, we use the Wigner representation that allows…

Mesoscale and Nanoscale Physics · Physics 2013-08-09 Christian Wickles , Wolfgang Belzig

A general theoretical approach to study the quantum kinetics in a system coupled to a bath is proposed. Starting with the microscopic interaction, a Lindblad master equation is established, which goes beyond the common secular…

Mesoscale and Nanoscale Physics · Physics 2018-01-31 Gediminas Kiršanskas , Martin Franckié , Andreas Wacker

A quantum theory of feedback of bosonic many-atom systems is formulated. The feedback-induced many-atom correlations are treated by use of a parameterized correlation function, for which closed equations of motion are derived. Therefrom the…

Quantum Physics · Physics 2009-11-07 S. Wallentowitz

We investigate the effect of electron-electron interactions on the transport properties of disordered quasi one-dimensional quantum wires with two or more subbands occupied. We apply two alternative methods to solve the logarithmic…

Mesoscale and Nanoscale Physics · Physics 2009-10-28 Arisato Kawabata , Tobias Brandes

Quantum transport studies of spin-dependent phenomena in solids commonly employ the Kubo or Keldysh formulas for the nonequilibrium density operator in the steady-state linear-response regime. Its trace with operators of interest, such as…

Mesoscale and Nanoscale Physics · Physics 2025-12-30 Simao M. Joao , Marko D. Petrovic , J. M. Viana Parente Lopes , Aires Ferreira , Branislav K. Nikolic

We start from the QED Lagrangian to describe a charged many-particle system coupled to the radiation field. A covariant density matrix approach to kinetic theory of QED plasmas, subjected to a strong external electro-magnetic field has…

Quantum Physics · Physics 2009-11-07 A. Hoell , V. G. Morozov , G. Roepke

For perturbative scalar field theories, the late-time-limit of the out-of-time-ordered correlation function that measures (quantum) chaos is shown to be equal to a Boltzmann-type kinetic equation that measures the total gross (instead of…

High Energy Physics - Theory · Physics 2019-01-10 Sašo Grozdanov , Koenraad Schalm , Vincenzo Scopelliti

Quantum electrodynamics under conditions of distinguishability of interacting matter entities, and of controlled actions and back-actions between them, is considered. Such "mesoscopic quantum electrodynamics" is shown to share its dynamical…

Quantum Physics · Physics 2015-09-30 L. I. Plimak , Misha Ivanov , A. Aiello , S. Stenholm

We review and further develop the Keldysh functional integral technique for the study of Lindbladian evolution of many-body driven-dissipative quantum systems. A systematic and pedagogical account of the dynamics of generic bosonic and…

Mesoscale and Nanoscale Physics · Physics 2025-01-30 Foster Thompson , Alex Kamenev

We present a kinetic theory for inhomogeneous systems with weak long-range interactions. Starting from the Klimontovich equation and using a quasilinear theory, we obtain a closed kinetic equation describing the relaxation of the…

Statistical Mechanics · Physics 2015-06-25 Pierre-Henri Chavanis

Nonlinear density response theory is revisited focusing on the harmonically perturbed finite temperature uniform electron gas. Within the non-interacting limit, brute force quantum kinetic theory calculations for the quadratic, cubic,…

Quantum Gases · Physics 2023-05-23 Panagiotis Tolias , Tobias Dornheim , Zhandos A. Moldabekov , Jan Vorberger

The suggested theory is the new quantum mechanics (QM) interpretation.The research proves that QM represents the electrodynamics of the curvilinear closed (non-linear) waves. It is entirely according to the modern interpretation and…

Quantum Physics · Physics 2007-05-23 Alexander G. Kyriakos

Perturbation theory with respect to the kinetic energy of the heavy component of a two-component quantum system is introduced. An effective Hamiltonian that is accurate to second order in the inverse heavy mass is derived. It contains a new…

Quantum Physics · Physics 2024-06-21 Ryan Requist

We present a consistent quantum theory of the electromagnetic field in nonlinearly responding causal media, with special emphasis on $\chi^{(2)}$ media. Starting from QED in linearly responding causal media, we develop a method to construct…

Quantum Physics · Physics 2009-11-11 Stefan Scheel , Dirk-Gunnar Welsch

A formulation of quantum electrodynamics is given that applies to atoms in a strong laser field by perturbation theory in a non-relativistic regime. Dipole approximation is assumed. The dual Dyson series, here discussed by referring it to…

Quantum Physics · Physics 2007-05-23 Marco Frasca

Interband effects such as coherence/tunneling have recently been shown to give an important contribution to the charge and heat transport properties under certain conditions. These can be captured by adding corrective terms to the…

Materials Science · Physics 2025-12-05 Elena Trukhan , Nakib H. Protik

We present a general quantum kinetic theory that accounts for the interplay between a temperature gradient, momentum-space Berry curvatures of Bloch electrons, and Bloch-state scattering. Using a theory that incorporates the presence of a…

Mesoscale and Nanoscale Physics · Physics 2020-04-24 Akihiko Sekine , Naoto Nagaosa

Quantum embedding theories are promising approaches to investigate strongly-correlated electronic states of active regions of large-scale molecular or condensed systems. Notable examples are spin defects in semiconductors and insulators. We…

Materials Science · Physics 2021-12-14 He Ma , Nan Sheng , Marco Govoni , Giulia Galli