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Related papers: What is Nonreciprocity?

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The conservation laws of nonrelativistic and relativistic systems are reviewed and some simple illustrations are provided for the restrictive nature of the relativistic conservation law involving the center of energy compared to the…

Classical Physics · Physics 2015-05-13 Timothy H. Boyer

Reciprocity is a fundamental principle of wave physics and directly relates to the symmetry in the transmission through a system when interchanging the input and output. The coherent transmission matrix (TM) is a convenient method to…

Optics · Physics 2020-10-08 Szu-Yu Lee , Vicente J. Parot , Brett E. Bouma , Martin Villiger

The Newtonian Lagrangian perturbation theory is a widely used framework to study structure formation in cosmology in the nonlinear regime. We review a general-relativistic formulation of such a perturbation approach, emphasizing results on…

General Relativity and Quantum Cosmology · Physics 2022-11-10 Thomas Buchert , Ismael Delgado Gaspar , Jan J. Ostrowski

In an anti-Hermitian linear system, all energy eigenvalues are purely imaginary and the corresponding eigenvectors are orthogonal. This implies that no stationary state is available in such systems. We consider an anti-Hermitian lattice…

Pattern Formation and Solitons · Physics 2020-01-08 S. Tombuloglu , C. Yuce

This paper presents a unifying theory of Linear second order systems that allows time-varying and time invariant systems to be treated in the same way for the first time. In the process, a transformation is given that diagonalizes an…

Systems and Control · Electrical Eng. & Systems 2026-04-24 Douglas R. Frey

Topological theory predicts the necessary conditions for robust dimensional reduction in a host of quantum and classical systems. Models have recently been proposed for stochastic systems which describe many biological and chemical…

Statistical Mechanics · Physics 2024-10-14 Aleksandra Nelson , Evelyn Tang

Recently, Kawai, Parrondo, and Van den Broeck have related dissipation to time-reversal asymmetry. We generalized the result by considering a protocol where the physical system is driven away from an initial thermal equilibrium state with…

Statistical Mechanics · Physics 2015-05-20 Pegah Zolfaghari , Somayeh Zare , Behrouz Mirza

Nonreciprocal transport in uniform systems has attracted great research interest recently and the existing theories mainly focus on the diffusive regime. In this study, we uncover a novel scenario for nonreciprocal charge transport in the…

Mesoscale and Nanoscale Physics · Physics 2024-05-15 Minhao Zou , Hao Geng , Rong Ma , Wei Chen , Li Sheng , Dingyu Xing

A general non-linear response theory is derived for an arbitrary time-dependent Hamiltonian, not necessarily obeying time-reversal symmetry. This allows us to obtain a greatly generalized Kubo type formula. Applied to a mesoscopic system…

Mesoscale and Nanoscale Physics · Physics 2009-10-30 Ines Safi

The entropy production is commonly interpreted as measuring the distance from equilibrium. However, this explanation lacks a rigorous description due to the absence of a natural equilibrium measure. The present analysis formalizes this…

Statistical Mechanics · Physics 2025-10-23 David Andrieux

Breaking the time-reversal symmetry of light is of great importance for fundamental physics and has attracted increasing interest in the study of non-reciprocal photonic devices. Here, we experimentally demonstrate a chiral cavity QED…

Quantum Physics · Physics 2023-04-20 Pengfei Yang , Ming Li , Xing Han , Hai He , Gang Li , Chang-Ling Zou , Pengfei Zhang , Yuhua Qian , Tiancai Zhang

Scintillation describes the conversion of high-energy particles into light in transparent media and finds diverse applications such as high-energy particle detection and industrial and medical imaging. This process operates on multiple…

Linear response theory is a fundamental framework studying the macroscopic response of a physical system to an external perturbation. This paper focuses on the rigorous mathematical justification of linear response theory for Langevin…

Analysis of PDEs · Mathematics 2024-08-27 Yuan Gao , Jian-Guo Liu , Zibu Liu

We show that the nonreciprocity of hydrodynamic electron transport in noncentrosymmetric conductors with broken time-reversal symmetry (TRS) is significantly enhanced compared to the disorder-dominated regime. This enhancement is caused by…

Mesoscale and Nanoscale Physics · Physics 2026-01-26 E. Kirkinis , L. Bonds , A. Levchenko , A. V. Andreev

Nonlinear phenomena are inherent in most systems in nature. Second or higher-order harmonic generations, three-wave and four-wave mixing are typical phenomena in nonlinear optics. To obtain a nonzero signal for second-harmonic generation in…

Mesoscale and Nanoscale Physics · Physics 2019-04-29 Zhou Li , Franco Nori

Hybrid inverse problems are mathematical descriptions of coupled-physics (also called multi-waves) imaging modalities that aim to combine high resolution with high contrast. The solution of a high-resolution inverse problem, a first step…

Analysis of PDEs · Mathematics 2013-11-26 Guillaume Bal

When studying non-Hermitian electronic systems, an obvious question is how various non-Hermitian effects affect measurable quantities like the conductance. Here, we show that uniformly dissipative circuits can exhibit nonreciprocal…

Mesoscale and Nanoscale Physics · Physics 2026-05-25 Oliver Solow , Emil J. Bergholtz , Karsten Flensberg

We prove an instance of the Reciprocity Theorem that demonstrates that Kerr rotation, also known as the magneto-optical Kerr effect, may only arise in materials that break microscopic time reversal symmetry. This argument applies in the…

Optics · Physics 2014-10-08 Alexander D. Fried

Algebraically speaking, linear time-invariant (LTI) systems can be considered as modules. In this framework, controllability is translated as the freeness of the system module. Optimal control mainly relies on quadratic Lagrangians and the…

Optimization and Control · Mathematics 2024-10-10 Cédric Join , Emmanuel Delaleau , Michel Fliess

In this paper the analogues of the Lorentz transformations for non-inertial reference frames have been obtained. A common case when the movement speed of one coordinate frame in relation to another one can have time derivatives of higher…

General Physics · Physics 2016-08-24 E. E. Perepelkin , B. I. Sadovnikov , N. G. Inozemtseva