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We define the concept of symmetric sensitivity with respect to initial conditions for the endomorphisms on Lebesgue metric spaces. The idea is that the orbits of almost every pair of nearby initial points (for the product of the invariant…

Dynamical Systems · Mathematics 2007-05-23 Benoit Cadre , Pierre Jacob

The relation between the properties of a specific crystallographic site and the properties of the full crystal is discussed by using spherical tensors. The concept of spherical tensors is introduced and the way it transforms under the…

Strongly Correlated Electrons · Physics 2010-07-26 Christian Brouder , Amélie Juhin , Amélie Bordage , Marie-Anne Arrio

We show that the Connes-Rovelli thermal time associated with the quantum harmonic oscillator can be described as an (unsharp) observable, that is, as a positive operator valued measure. We furthermore present extensions of this result to…

Mathematical Physics · Physics 2024-03-18 Jan van Neerven , Pierre Portal

Nonsymmorphic symmetries, which involve fractional lattice translations in crystalline materials, can generate exotic types of fermionic excitations that are robust against spin-orbit coupling. Here we report on a hourglass-type dispersion…

Mesoscale and Nanoscale Physics · Physics 2017-12-08 Shan-Shan Wang , Ying Liu , Zhi-Ming Yu , Xian-Lei Sheng , Shengyuan A. Yang

Time reversal symmetry occupies a distinctive role in quantum mechanics, fundamentally requiring an anti-unitary operator to ensure a physically consistent representation. As such, the time reversal operator combines a unitary…

General Relativity and Quantum Cosmology · Physics 2026-03-27 Ovidiu Racorean

The celebrated work of Onsager on hard particle systems, based on the truncated second order virial expansion, is valid at relatively low volume fractions for large aspect ratio particles. While it predicts the isotropic-nematic phase…

Soft Condensed Matter · Physics 2017-08-16 Eduardo S. Nascimento , Peter Palffy-Muhoray , Jamie M. Taylor , Epifanio G. Virga , Xiaoyu Zheng

We consider $\mathcal{PT}$-symmetric ring-like arrays of optical waveguides with purely nonlinear gain and loss. Regardless of the value of the gain-loss coefficient, these systems are protected from spontaneous $\mathcal{PT}$-symmetry…

Optics · Physics 2023-03-28 I V Barashenkov , Frank Smuts , Alexander Chernyavsky

A misconception that non-chiral molecules have no optical activity at all is widespread. However, at molecular level even non-chiral molecules have optical activity. Optical activity of a non-chiral molecule is canceled out by that of…

Chemical Physics · Physics 2013-05-31 Won-Young Hwang

We report unambiguous experimental evidence of broken time reversal symmetry for the interaction of light with an artificial non-magnetic material. Polarized colour images of planar chiral gold-on-silicon nanostructures consisting of arrays…

Materials Science · Physics 2007-05-23 A. S. Schwanecke , A. Krasavin , D. M. Bagnall , A. Potts , A. V. Zayats , N. I. Zheludev

Parity-time (PT) symmetry is of great interest. The reciprocal and unidirectional features are intriguing besides the PT symmetry phase transition. Recently, the reciprocal transmission, unidirectional reflectionless and invisibility are…

Quantum Physics · Physics 2016-03-01 L. Jin , X. Z. Zhang , G. Zhang , Z. Song

Macroscopic systems with continuous symmetries subjected to oscillatory fields have phases and transitions that are qualitatively different from their equilibrium ones. Depending on the amplitude and frequency of the fields applied,…

Statistical Mechanics · Physics 2009-11-07 I. Junier , J. Kurchan

Symmetry is one of the most general and useful concepts in physics. A theory or a system that has a symmetry is fundamentally constrained by it. The same constraints do not apply when the symmetry is broken. The quantitative determination…

Quantum Physics · Physics 2019-01-23 Ivan Fernandez-Corbaton

We provide a time-dependent Dyson map and metric for the two dimensional harmonic oscillator with a non-Hermitian $i xy$ coupling term. This particular time-independent model exhibits spontaneously broken $\mathcal{PT}$-symmetry and becomes…

Quantum Physics · Physics 2020-01-01 Andreas Fring , Thomas Frith

We present a maximally symmetric vacuum spacetime, which is locally isometric anti- de Sitter, admitting closed timelike curves appear after a definite instant of time i.e., a time-machine spacetime. The spacetime is regular, free-from…

General Relativity and Quantum Cosmology · Physics 2016-05-13 Faizuddin Ahmed , Davood Momeni , Debojit Sarma , Bidyut Bikash Hazarika , Ratbay Myrzakulov

David Albert claims that classical electromagnetic theory is not time reversal invariant. He acknowledges that all physics books say that it is, but claims they are "simply wrong" because they rely on an incorrect account of how the time…

General Relativity and Quantum Cosmology · Physics 2007-05-23 David B. Malament

Traditional solid-state physics has long correlated the optical properties of materials with their electronic structures. However, recent discoveries of intrinsic gapped metals have challenged this classical view. Gapped metals possess…

Materials Science · Physics 2023-04-28 Muhammad Rizwan Khan , Harshan Reddy Gopidi , Oleksandr I. Malyi

We experimentally demonstrate a three-dimensional chiral optical metamaterial that exhibits an asymmetric transmission for forwardly and backwardly propagating linearly polarized light. The observation of this novel effect requires a…

We present a general model-independent formalism of measuring CP and CPT violating parameters through time-ordered integrated rates of correlated decays of $C=\pm 1$ entangled states of neutral pseudoscalar mesons. We give the general…

High Energy Physics - Phenomenology · Physics 2015-06-03 Zhijie Huang , Yu Shi

We solve explicitly the two-dimensional harmonic oscillator and the harmonic oscillator in a background magnetic field in noncommutative phase-space without making use of any type of representation. A key observation that we make is that…

High Energy Physics - Theory · Physics 2009-08-03 Joseph Ben Geloun , Sunandan Gangopadhyay , Frederik G Scholtz

Lossless linear wave propagation is symmetric in time, a principle which can be used to create time reversed waves. Such waves are special 'pre-scattered' spatiotemporal fields, which propagate through a complex medium as if observing a…

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