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Motivated by a recent progress concerning quantum commuting and quantum tensor models of composed systems we investigate a notion of (generalized) unitary induced quantum channel. Using properties of Brown algebras we provide an equivalent…

Quantum Physics · Physics 2025-09-01 Michał Banacki , Paweł Horodecki

Modelling the electrical response of multi-level quantum systems at finite frequency has been typically performed in the context of two incomplete paradigms: (i) input-output theory, which is valid at any frequency but neglects dynamic…

Mesoscale and Nanoscale Physics · Physics 2025-10-14 L. Peri , M. Benito , C. J. B. Ford , M. F. Gonzalez-Zalba

Dissipative effects in electromagnetism on macroscopic scales are examined by coarse graining the microscopic Maxwell equations with respect to time. We illustrate a procedure to derive the dissipative effects on the macroscopic scale by…

Statistical Mechanics · Physics 2015-05-14 Asja Jelic , Markus Hütter , Hans Christian Öttinger

The relation between microscopic and macroscopic entities in the generally covariant theories is considered, and it is argued that a sensible definition of the macroscopic averages requires a restriction of the allowed transformations of…

General Relativity and Quantum Cosmology · Physics 2008-11-26 S. Antoci

After a short review of microscopic electrodynamics in materials, we investigate the relation of the microscopic dielectric tensor to the current response tensor and to the full electromagnetic Green function. Subsequently, we give a…

Materials Science · Physics 2017-10-02 R. Starke , G. A. H. Schober

Physics-based models often involve large systems of parametrized partial differential equations, where design parameters control various properties. However, high-fidelity simulations of such systems on large domains or with high grid…

Computational Physics · Physics 2025-05-15 Diba Behnoudfar

We develop an efficient algorithm for determining optimal adaptive quantum estimation protocols with arbitrary quantum control operations between subsequent uses of a probed channel. We introduce a tensor network representation of an…

We show that the Maxwell equations for arbitrary inhomogeneous media are equivalent to a single quaternionic equation which can be considered as a generalization of the Vekua equation for generalized analytic functions.

Mathematical Physics · Physics 2009-01-24 Vladislav V. Kravchenko

This letter analyses the effective capacity of communications system using unified models. In order to obtain a simple closed-form mathematically tractable expression, two different unified approximate models have been used. The mixture…

Information Theory · Computer Science 2018-04-26 H. Al-Hmood , H. S. Al-Raweshidy

Spectrally and spatially varying ensembles of emitters embedded into waveguides are ever-present in both well-established and emerging technologies. If control of collective excitations can be attained, a plethora of coherent quantum…

Quantum Physics · Physics 2024-02-13 Lewis Ruks , Xuejun Xu , Ryuichi Ohta , William John Munro , Victor Manuel Bastidas

Using a technique based on quantum teleportation, we simplify the most general adaptive protocols for key distribution, entanglement distillation and quantum communication over a wide class of quantum channels in arbitrary dimension. Thanks…

Quantum Physics · Physics 2018-05-16 Stefano Pirandola , Riccardo Laurenza

Recently Drummond and Hillery [Phys. Rev.A 59, 691(1999)] presented a quantum theory of dispersion based on the analysis of a coupled system of the electromagnetic field and atoms in the multipolar QED formulation. The theory has led to the…

Quantum Physics · Physics 2007-05-23 Gediminas Juzeliunas

A self-consistent extended Einstein-Maxwell model for relativistic non-stationary polarizable-magnetizable anisotropic media is presented. Based on the analogy with relativistic extended irreversible (transient) thermodynamics, the extended…

General Relativity and Quantum Cosmology · Physics 2008-11-26 A. B. Balakin

The linear response of an isolated, homogeneous granular fluid to small spatial perturbations is studied by methods of non-equilibrium statistical mechanics. The long wavelength linear hydrodynamic equations are obtained, with formally…

Soft Condensed Matter · Physics 2009-11-11 James Dufty , Aparna Baskaran , J. Javier Brey

After a short critique of the Minkowski formulae for the electromagnetic constitutive laws in moving media, we argue that in actual fact the problem of Lorentz-covariant electromagnetic response theory is automatically solved within the…

Classical Physics · Physics 2017-12-19 R. Starke , G. A. H. Schober

We use a generalized Master equation (GME) formalism to describe the non-equilibrium time-dependent transport through a short quantum wire connected to semi-infinite biased leads. The contact strength between the leads and the wire are…

Mesoscale and Nanoscale Physics · Physics 2013-05-15 Kristinn Torfason , Andrei Manolescu , Valeriu Molodoveanu , Vidar Gudmundsson

Density based representations of atomic environments that are invariant under Euclidean symmetries have become a widely used tool in the machine learning of interatomic potentials, broader data-driven atomistic modelling and the…

We review Maxwell's equations and constitutive relations for 3D bianisotropic media in a generalized form: we consider all four variables and allow for nonzero polarization or magnetization, and also nonzero nonzero magnetic charge or…

Computational Physics · Physics 2022-12-23 Tharindu Fernando , Martin Licht , Michael Holst

The standard solution to time-harmonic electromagnetic scattering problems in homogeneous layered media relies on the use of the electric field dyadic Green's function. However, for small values of the governing angular frequency $\omega$,…

Classical Physics · Physics 2015-06-17 Michael O'Neil

We establish an abstract quenched linear response result for random dynamical systems, which we then apply to the case of smooth expanding on average cocycles on the unit circle. In sharp contrast to the existing results in the literature,…

Dynamical Systems · Mathematics 2022-11-30 Davor Dragičević , Paolo Giulietti , Julien Sedro