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We put forward a technique to unveil to which symmetry group a nonlinear crystal belongs, making use of nonlinear optics with structured light. We consider as example the process of spontaneous parametric down-conversion. The crystal, which…

Optics · Physics 2015-07-01 Rocio Jauregui , Juan P. Torres

We consider an invariant skew-symmetric phase-space metric for non-Hamiltonian systems. We say that the metric is an invariant if the metric tensor field is an integral of motion. We derive the time-dependent skew-symmetric phase-space…

Dynamical Systems · Mathematics 2018-04-02 Vasily E. Tarasov

Spin space groups, formed by operations where the rotation of the spins is independent of the accompanying operation acting on the crystal structure, are appropriate groups to describe the symmetry of magnetic structures with null…

Materials Science · Physics 2025-07-25 Jesus Etxebarria , J. Manuel Perez-Mato , Emre S. Tasci , Luis Elcoro

Originally emerged within the context of string and quantum field theory, and later fruitfully extrapolated to photonics, the algebraic transformations of quantum-mechanical supersymmetry were conceived in the space realm. Here, we…

This article is dedicated to the 60-th anniversary of the Landau Institute for Theoretical Physics and presents a review of normal and superconducting properties of toroidal, altermagnetic, and noncentrosymmetric metals. Metals with…

Strongly Correlated Electrons · Physics 2026-02-05 V. P. Mineev

Time-reversal symmetry is important to optics. In linear optics, a time-reversed process to laser emission enables total absorption of coherent light fields into an optical cavity of loss by time-reversing the original gain medium. In…

Optics · Physics 2013-01-15 Yuanlin Zheng , Huaijin Ren , Wenjie Wan , Xianfeng Chen

The material tensor of linear response in electrodynamics is constructed out of products of two symmetric second rank tensor fields which in the approximation of geometrical optics and for uniaxial symmetry reduce to "optical" metrics,…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Alexander B. Balakin , Winfried Zimdahl

We study the effects of spatial dispersion in disordered noncentrosymmetric metals. These include the kinetic magnetoelectric effect, natural optical activity of metals, as well as the so-called dynamic chiral magnetic effect as a…

Mesoscale and Nanoscale Physics · Physics 2017-07-19 J. Rou , C. Şahin , J. Ma , D. A. Pesin

Optical isolation, non-reciprocal phase transmission and topological phases for light based on synthetic gauge fields have been raising significant interest in the recent literature. Cavity-optomechanical systems that involve two optical…

Optics · Physics 2017-06-20 Mohammad-Ali Miri , Freek Ruesink , Ewold Verhagen , Andrea Alù

We propose that light can break mirror symmetries and combining symmetries with a uniform time translation, and their breaking is characterized by an off-diagonal charge conductivity. Taking periodically driven graphene as an example, we…

Mesoscale and Nanoscale Physics · Physics 2024-07-09 Naoya Arakawa , Kenji Yonemitsu

In understanding the world of matter, the introduction of symmetry principles following experimentation or using the predictive power of symmetry principles to guide experimentation is most profound. The conservation of energy, linear…

High Energy Physics - Phenomenology · Physics 2015-06-25 Willem T. H. van Oers

Optical spectroscopies are most often used to probe dynamical correlations in materials, but they are also a probe of symmetry. Polarization anisotropies are of course sensitive to structural anisotropies, but have been much less used as a…

Strongly Correlated Electrons · Physics 2015-06-18 N. P. Armitage

A dynamical system is said to be reversible if, given an output, the input can always be recovered in a well-posed manner. Nevertheless, we argue that reversible systems that have a time-reversal symmetry, such as the Nonlinear…

Analysis of PDEs · Mathematics 2020-05-20 Amir Sagiv , Adi Ditkowski , Roy H. Goodman , Gadi Fibich

Symmetries have a crucial role in today's physics. In this thesis, we are mostly concerned with time reversal invariance (T-symmetry). A physical system is time reversal invariant if its underlying laws are not sensitive to the direction of…

History and Philosophy of Physics · Physics 2018-03-01 Reza Moulavi Ardakani

Coherent control of atomic and molecular scattering relies on the preparation of colliding particles in superpositions of internal states, establishing interfering pathways that can be used to tune the outcome of a scattering process.…

Atomic Physics · Physics 2024-12-20 Adrien Devolder , Timur V. Tscherbul , Paul Brumer

We construct the molecular model and the tensor model for the dynamics of the nematic phases of bent-core molecules and star molecules in incompressible fluid. We start from the molecular interaction and the molecule--fluid friction, and…

Soft Condensed Matter · Physics 2017-05-09 Jie Xu , Pingwen Zhang

We introduce a class of non-Hermitian systems that break electromagnetic reciprocity while preserving time-reversal symmetry, and describe its novel polarization dynamics. We show that this class of systems can be realized using van der…

Optics · Physics 2020-07-01 Siddharth Buddhiraju , Alex Song , Georgia T. Papadakis , Shanhui Fan

We present a simple renormalizable abelian gauge model which includes antisymmetric second-rank tensor fields as matter fields rather than gauge fields known for a long time. The free action is conformally rather than gauge invariant. The…

High Energy Physics - Theory · Physics 2009-10-22 L. V. Avdeev , M. V. Chizhov

We investigate magnetic-field asymmetries in the linear transport of a mesoscopic conductor interacting with its environment. Interestingly, we find that the interaction between the two systems causes an asymmetry only when the environment…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 David Sanchez , Kicheon Kang

In the last ten years, the technology of differential geometry, ubiquitous in gravitational physics, has found its place in the field of optics. It has been successfully used in the design of optical metamaterials, through a technique now…