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We consider a two-level system coupled to a mesoscopic two-terminal conductor that acts as measuring device. As a convenient description of the conductor we introduce its scattering matrix. We show how its elements can be used to calculate…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 M. Buttiker , S. Pilgram

The Landauer formula for dissipationless conductance lies at the heart of modern electronic transport, yet it remains without a clear microscopic basis. We analyze the Landauer formula microscopically, and give a straightforward quantum…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Mukunda P. Das , Frederick Green

A density matrix theory of electron transport and optical gain in quantum cascade lasers in an external magnetic field is formulated. Starting from the general quantum kinetic treatment, we describe the intra- and inter-period electron…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Ivana Savic , Nenad Vukmirovic , Zoran Ikonic , Dragan Indjin , Robert W. Kelsall , Paul Harrison , Vitomir Milanovic

In this paper, we derived Lorentz covariant quantum Liouville equation for the density operator which describes the relativistic quantum information processing from Tomonaga-Schwinger equation and an exact formal solution for the…

Quantum Physics · Physics 2009-11-07 Doyeol Ahn , Hyuk-jae Lee , Sung Woo Hwang

The density operator of the arbitrary physical system must be positive definite. Employing the general master equation technique which preserves this property we derive equations of motion for the density operator of an active atom which…

Atomic Physics · Physics 2009-11-07 Robert Alicki , Stanisław Kryszewski

The effects of the Ohmic and magnetic density currents are investigated in the linearized Euler-Heisenberg electrodynamics. The linearization is introduced through an external magnetic field, in which the vector potential of the…

Classical Physics · Physics 2024-05-29 G. R. Santos , M. J. Neves

We provide a rigorous construction of Markovian master equations for a wide class of quantum systems that encompass quadratic models of finite size, linearly coupled to an environment modeled by a set of independent thermal baths. Our…

Quantum Physics · Physics 2021-05-18 Antonio D'Abbruzzo , Davide Rossini

A theory of mechanical behaviour of the magneto-sensitive elastomers is developed in the framework of a linear elasticity approach. Using a regular rectangular lattice model, different spatial distributions of magnetic particles within a…

Soft Condensed Matter · Physics 2011-07-15 D. Ivaneyko , V. Toshchevikov , M. Saphiannikova , G. Heinrich

We report a quantum field theoretical description of light transport and random lasing. The Bethe-Salpeter equation is solved including maximally crossed diagrams and non-elastic scattering. This is the first theoretical framework that…

Optics · Physics 2015-06-11 Andreas Lubatsch , Regine Frank

We derive a density matrix (DM) theory for quantum cascade lasers (QCLs) that describes the influence of scattering on coherences through a generalized scattering superoperator. The theory enables quantitative modeling of QCLs, including…

Mesoscale and Nanoscale Physics · Physics 2017-08-28 Andrew Pan , Benjamin A. Burnett , Chi On Chui , Benjamin S. Williams

We report on ultrasonic measurements of the propagation operator in a strongly scattering mesoglass. The backscattered field is shown to display a deterministic spatial coherence due to a remarkably large memory effect induced by long…

Disordered Systems and Neural Networks · Physics 2014-01-30 Alexandre Aubry , Laura A. Cobus , Sergey E. Skipetrov , Bart A. van Tiggelen , Arnaud Derode , John H. Page

We show that fixed energy scattering measurements for the magnetic Schroedinger operator uniquely determine the magnetic field and electric potential in dimensions $n \geq 3$. The magnetic potential, its first derivatives, and the electric…

Analysis of PDEs · Mathematics 2009-08-28 Lassi Päivärinta , Mikko Salo , Gunther Uhlmann

We develop an effective theory for biased tracers formulated at the level of the Boltzmann equation, providing a unified description of density and velocity bias. We introduce a general effective collision term in the tracer Boltzmann…

Cosmology and Nongalactic Astrophysics · Physics 2026-01-01 Tomohiro Fujita , Tomo Takahashi , Sora Yamashita

A closed expression for the density operator of the damped harmonic oscillator is extracted from the master equation based on the Lindblad theory for open quantum systems. The entropy and effective temperature of the system are subsequently…

High Energy Physics - Theory · Physics 2007-05-23 A. Isar

We provide sufficient conditions such that the time evolution of a mesoscopic tight-binding open system with a local Hartree-Fock non-linearity converges to a self-consistent non-equilibrium steady state, which is independent of the initial…

Mathematical Physics · Physics 2024-09-23 Horia D. Cornean , Giovanna Marcelli

Marcus and Landauer-Buttiker approaches to charge transport through molecular junctions describe two contrasting mechanisms of electronic conduction. In previous work, we have shown how these charge transport theories can be unified in the…

Chemical Physics · Physics 2020-02-18 Jakub K. Sowa , Neill Lambert , Tamar Seideman , Erik M. Gauger

A recently proposed form of dual theory for the three dimensional superconductor is rederived starting from the lattice electrodynamics and studied by renormalization group. The superfluid density below and close to the transition vanishes…

Superconductivity · Physics 2009-10-28 Igor F. Herbut

Interrelation of the Coleman's representabilty theory for 1-density operators and abstract algebraic form of the Hohenberg-Kohn theorem is studied in detail. Convenient realization of the Hohenberg-Kohn set of classes of 1-electron…

Chemical Physics · Physics 2015-06-26 A. I. Panin

While metamaterials are often desirable for near-field functions, such as perfect lensing, or cloaking, they are often quantified by their response to plane waves from the far field. Here, we present a theoretical analysis of the local…

Optics · Physics 2016-03-01 Per Lunnemann , Femius A. Koenderink

We use the scattering approach to investigate the nonlinear current-voltage characteristic of mesoscopic conductors. We discuss the leading nonlinearity by taking into account the self-consistent nonequilibrium potential. We emphasize…

Condensed Matter · Physics 2009-10-28 T. Christen , M. Buttiker