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The analytical solutions for the general-four-wave-mixing hyperpolarizabilities $\chi^{(3)}(-(w_1+w_2+w_3);w_1,w_2,w_3)$ on infinite chains under both Su-Shrieffer-Heeger and Takayama-Lin-Liu-Maki models of trans-polyacetylene are obtained…

Other Condensed Matter · Physics 2016-08-31 Shidong Jiang , Minzhong Xu

The static current operator leads to definitional zero frequency divergence and unphysical results in studying nonlinear optical susceptibilities of polymers. A well-defined dipole-dipole correlation is superior to the complicated…

Strongly Correlated Electrons · Physics 2007-05-23 Minzhong Xu , Xin Sun

We use weakly nonlinear geometric optics to study a model for the DC Kerr effect (the Kerr electro-optic effect), in which a light beam propagating through a material with strong nonlinear optical properties can have its polarization…

Analysis of PDEs · Mathematics 2025-05-05 Nikolas Eptaminitakis , Plamen Stefanov

We investigate the optical response induced by a d.c. current flowing in a nonmagnetic material that lacks inversion symmetry. In this class of materials, the flowing current experiences a nonlinear Hall effect and induces a nonequilibrium…

Materials Science · Physics 2024-06-25 Diego Garcia Ovalle , Armando Pezo , Aurélien Manchon

We report the observation of sum-frequency signals that depend linearly on an applied electrostatic field and that change sign with the handedness of an optically active solution. This recently predicted chiral electro-optic effect exists…

Optics · Physics 2009-11-10 P. Fischer , K. Beckwitt , A. D. Buckingham , D. S. Wiersma , F. W. Wise

Kerr-effect-induced changes of the polarization state of light are well known in pulsed laser systems. An example is nonlinear polarization rotation, which is critical to the operation of many types of mode-locked lasers. Here, we…

We investigate the chiral electric separation effect, where an axial current is induced by an electric field in the presence of both vector and axial chemical potentials, in a strongly coupled plasma via the Sakai-Sugimoto model with an…

High Energy Physics - Theory · Physics 2014-04-23 Shi Pu , Shang-Yu Wu , Di-Lun Yang

Non-reciprocal critical currents without applying an external magnetic field have been observed recently in several superconductors, in various forms of Graphene, a Kagome compound and in an under-doped cuprate. A necessary requirement for…

Strongly Correlated Electrons · Physics 2025-06-11 Chandra M. Varma

We discuss the polar Kerr effect (PKE) in a chiral p-wave (p_x+i p_y-wave) superconductor. It is found that the off-diagonal component of a current-current correlation function is induced by impurity scattering in the chiral p-wave…

Superconductivity · Physics 2008-08-09 Jun Goryo

We compute physical properties across the phase diagram of the $t$-$J_\perp$ chain with long-range dipolar interactions, which describe ultracold polar molecules on optical lattices. Our results obtained by the density-matrix…

Superconductivity · Physics 2017-10-20 Salvatore R. Manmana , Marcel Möller , Riccardo Gezzi , Kaden R. A. Hazzard

Kerr oscillators are model systems which have practical applications in nonlinear optics. Optical Kerr effect i.e. interaction of optical waves with nonlinear medium with polarizability $\chi^{(3)}$ is the basic phenomenon needed to explain…

Chaotic Dynamics · Physics 2011-02-24 Izabela Sliwa , Krzysztof Grygiel

We have observed optical birefringence in liquids induced by single-cycle THz pulses with field strengths exceeding 100 kV/cm. The induced change in polarization is proportional to the square of the THz electric field. The time-dependent…

Other Condensed Matter · Physics 2015-05-13 Matthias C. Hoffmann , Nathaniel C. Brandt , Harold Y. Hwang , Ka-Lo Yeh , Keith A. Nelson

The analytical solutions for the third-harmonic generation (THG) on infinite chains in both Su-Shrieffer-Heeger (SSH) and Takayama-Lin-Liu-Maki (TLM) models of trans-polyacetylene are obtained through the scheme of dipole-dipole ($DD$)…

Strongly Correlated Electrons · Physics 2007-05-23 Minzhong Xu , Xin Sun

Metasurfaces have attracted a great deal of attention from researchers due to their prominent optical properties. In particular, metasurfaces may consist of structures possessing optical anapole resonances with strong field confinement and…

Optics · Physics 2022-05-30 Andrey V. Panov

We revisit the chiral properties of nucleon interpolating currents, and show that of the two leading order currents $j_1$ and $j_2$, only two linear combinations $j_1\pm j_2$ transform covariantly under the anomalous $U(1)_A$ symmetry. As a…

High Energy Physics - Phenomenology · Physics 2024-05-16 Yohei Ema , Ting Gao , Maxim Pospelov , Adam Ritz

In this work the role that charge delocalization plays in the non-linear optical response of ionic liquids is evaluated. The first hyperpolarizability for the non-linear process of second harmonic generation (SHG) and second…

Materials Science · Physics 2024-02-01 C. D. Rodriguez-Fernandez L. M. Varela , C. Schroder , E. Lopez Lago

The optical Hall conductivity and the polar Kerr angle are calculated as functions of temperature for a two-dimensional chiral p_x+ip_y superconductor, where the time-reversal symmetry is spontaneously broken. The theoretical estimate for…

Superconductivity · Physics 2007-05-23 Victor M. Yakovenko

We derive a general theory of linear coupling and Kerr nonlinear coupling between modes of dielectric optical resonators from first principles. The treatment is not specific to a particular geometry or choice of mode basis, and can…

Optics · Physics 2022-03-14 Jonathan M. Silver , Pascal Del'Haye

We propose a novel chiral order parameter to explain the unusual polar Kerr effect in underdoped cuprates. It is based on the loop-current model by Varma, which is characterized by the in-plane anapole moment N and exhibits the…

Superconductivity · Physics 2013-07-26 Sergey S. Pershoguba , Kostyantyn Kechedzhi , Victor M. Yakovenko

We compute the ground-state electric dipole polarizability of group-IIIA ions using the perturbed relativistic coupled-cluster (PRCC) theory. To account for the relativistic effects and QED corrections, we use the Dirac-Coulomb-Breit…

Atomic Physics · Physics 2020-01-15 Ravi Kumar , S. Chattopadhyay , B. K. Mani , D. Angom
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