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We study the dynamics of electrons in crystalline solids in the presence of inhomogeneous external electric and magnetic fields. We present a manifestly gauge-invariant operator-based approach without relying on a semiclassical wavepacket…

Mesoscale and Nanoscale Physics · Physics 2025-03-17 Chen Xu , Andreas Haller , Suraj Hegde , Tobias Meng , Thomas L. Schmidt

Quantum geometry, which describes the geometry of Bloch wavefunctions in solids, has become a cornerstone of modern quantum condensed matter physics. The quantum geometrical tensor encodes this geometry through two fundamental components:…

Strongly Correlated Electrons · Physics 2025-08-04 Anyuan Gao , Naoto Nagaosa , Ni Ni , Su-Yang Xu

Several emergent phenomena and phases in solids arise from configurations of the electronic Berry phase in momentum space that are similar to gauge field configurations in real space such as magnetic monopoles. We show that the…

Strongly Correlated Electrons · Physics 2015-10-07 Shudan Zhong , Joseph Orenstein , Joel E. Moore

The photocurrent in an optically active metal is known to contain a component that switches sign with the helicity of the incident radiation. At low frequencies, this current depends on the orbital Berry phase of the Bloch electrons via the…

Mesoscale and Nanoscale Physics · Physics 2013-05-29 J. E. Moore , J. Orenstein

Light-matter interactions are governed by conservation laws of energy and momentum. For harmonic generation in crystalline solids, energy conservation imposes that $m$ incoming photons with energy $\hbar \omega_0$ are combined to form one…

Mesoscale and Nanoscale Physics · Physics 2026-04-16 Nele Tornow , Paul Herrmann , Clemens Schneider , Ferdinand Evers , Jan Wilhelm , Giancarlo Soavi

Momentum space polarization singularities of light appear as vectorial twists in the scattered and radiated far field patterns of exotic photonic structures. They relate to important concepts such as bound states in the continuum,…

Linear combinations of Bessel beams can be used to effectively trap light within cylindrical domains. Such hard traps can be used to produce states that exhibit stationary arrays of optical vortices from the perspective of a steadily…

Optics · Physics 2023-08-17 Mark T. Lusk , Andrew A. Voitiv , Mark E. Siemens

We consider soft-core bosons with onsite interaction loaded in the honeycomb lattice with different site energies for the two sublattices. Using both a mean-field approach and quantum Monte-Carlo simulations, we show that the topology of…

Quantum Gases · Physics 2015-10-28 Yun Li , Pinaki Sengupta , George G. Batrouni , Christian Miniatura , Benoît Grémaud

Natural optical activity is the paradigmatic example of an effect originating in the weak spatial inhomogeneity of the electromagnetic field on the atomic scale. In molecules, such effects are well described by the multipole theory of…

Materials Science · Physics 2023-05-31 Óscar Pozo , Ivo Souza

Recent experiments point to a variety of intermetallic systems which exhibit exotic quadrupolar orders driven by the Kondo coupling between conduction electrons and localized quadrupolar degrees of freedom. Using a Luttinger k.p Hamiltonian…

Strongly Correlated Electrons · Physics 2015-01-14 SungBin Lee , Arun Paramekanti , Yong Baek Kim

We expect black hole microstates to differ in their chaotic properties from states associated with other geometries. For supersymmetric black holes, ordinary level statistics cannot diagnose this distinction, since their energy levels are…

High Energy Physics - Theory · Physics 2026-04-28 Yiming Chen , Sean Colin-Ellerin , Ohad Mamroud , Kyriakos Papadodimas

The spin-dependent Berry force is a genuine effect of Berry curvature in molecular dynamics, which can dramatically result in spatial spin separation and change of reaction pathways. However, the way to probe the effect of Berry force…

Atomic Physics · Physics 2023-07-14 Ming Zhang , Xiaoyu Mi , Linfeng Zhang , Chengyin Wu , Zheng Li

A potential for propagation of a wave in two dimensions is constructed from a random superposition of plane waves around all propagation angles. Surprisingly, despite the lack of periodic structure, sharp Bragg diffraction of the wave is…

Disordered Systems and Neural Networks · Physics 2022-05-26 Donghwan Kim , Eric J. Heller

Motivated by recent interest in chiral superconductivity in narrow bands, we develop a general framework to clarify how band topology and quantum geometry affect superconducting pairing and connect to the two-body problem. Berry curvature…

Mesoscale and Nanoscale Physics · Physics 2026-05-29 Daniil Karuzin , Zhiyu Dong , Leonid Levitov

Classical and quantum interference of light propagating in arrays of coupled waveguides and undergoing multiband optical Bloch oscillations (BOs) with negligible Zener tunneling is theoretically investigated. In particular, it is shown that…

Optics · Physics 2015-05-14 S. Longhi

Vortices are whirling disturbances commonly found in nature ranging from tremendously small scales in Bose-Einstein condensates to cosmologically colossal scales in spiral galaxies. An optical vortex, generally associated with a spiral…

Optics · Physics 2021-08-23 Chenhao Wan , Jian Chen , Andy Chong , Qiwen Zhan

Optical vortices are phase singularities nested in electromagnetic waves that constitute a fascinating source of phenomena in the physics of light and display deep similarities to their close relatives, quantized vortices in superfluids and…

Pattern Formation and Solitons · Physics 2007-05-23 Anton S. Desyatnikov , Lluis Torner , Yuri S. Kivshar

Geometrical properties of energy bands underlie fascinating phenomena in a wide-range of systems, including solid-state materials, ultracold gases and photonics. Most famously, local geometrical characteristics like the Berry curvature can…

Optics · Physics 2017-12-20 Martin Wimmer , Hannah M. Price , Iacopo Carusotto , Ulf Peschel

Valley photonics has emerged as a promising platform in topological photonic systems, yet the topological nature of valley-dependent phenomena remains unsettled. Theoretically, inter-valley scattering may occur with structural…

Optics · Physics 2026-05-18 Wei Dai , Taiki Yoda , Yuto Moritake , Masaya Notomi

There has been remarkable recent progress in the formation of nano-resonators that support ultra-low-loss, compact dielectric photonic crystals with exceptional high-Q modes that operate at visible or telecom wavelengths. New insights into…

Optics · Physics 2022-12-21 Haoning Tang , Xueqi Ni , Fan Du , Eric Mazur