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We outline an approach to endow a plain vanilla material with topological properties by creating topological bands in stacks of manifestly nontopological atomically thin materials. The approach is illustrated with a model system comprised…

Mesoscale and Nanoscale Physics · Physics 2015-09-22 Justin C. W. Song , Polnop Samutpraphoot , Leonid S. Levitov

We show through rigorous calculations that dielectric microspheres can be organized by an incident electromagnetic plane wave into stable cluster configurations, which we call photonic molecules. The long-range optical binding force arises…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Jack Ng , Zhifang Lin , C. T. Chan , Ping Sheng

Quantum evolution of particles under strong fields can be essentially captured by a small number of quantum trajectories that satisfy the stationary phase condition in the Dirac-Feynmann path integrals. The quantum trajectories are the key…

Mesoscale and Nanoscale Physics · Physics 2014-01-17 Fan Yang , Ren-Bao Liu

We show how spin-orbit coupling and Berry phase can appear in two-dimensional optical lattices by coupling atoms' internal degrees of freedom to radiation. The Rashba Hamiltonian, a standard description of spin-orbit coupling for…

Soft Condensed Matter · Physics 2007-05-23 Artem M. Dudarev , Roberto B. Diener , Iacopo Carusotto , Qian Niu

We consider the problem of singular beams in optics as a part of the general questions of interactions, shaping and transformations of vortex states with fractional topological charges in physics, in particular, in hydrodynamic and quantum…

Optics · Physics 2017-12-13 C. N. Alexeyev , Yu. A. Egorov , A. V. Volyar

Appearance of quantized vortices in a superfluid and a Bose-Einstein condensate (BEC) stems from their nontrivial response to broken time-reversal symmetry (TRS). Here we show that breaking of the TRS by, for example, rotation or an…

Quantum Gases · Physics 2025-01-30 Natalia Masalaeva , Farokh Mivehvar

In a numerical investigation, we demonstrate the existence and curious evolution of vortices in a ladder-type three-level nonlinear atomic vapor with linear, cubic, and quintic susceptibilities considered simultaneously with the dressing…

Pattern Formation and Solitons · Physics 2012-11-07 Yiqi Zhang , Zhenkun Wu , Chenzhi Yuan , Xin Yao , Keqing Lu , Milivoj Belić , Yanpeng Zhang

Realising photonic analogues of the robust, unidirectional edge states of electronic topological insulators would improve our control of light on the nanoscale and revolutionise the performance of photonic devices. Here we show that new…

Optics · Physics 2021-05-26 Samuel J. Palmer , Vincenzo Giannini

The scattering of a flying photon by a two-level system ultrastrongly coupled to a one-dimensional photonic waveguide is studied numerically. The photonic medium is modeled as an array of coupled cavities and the whole system is analyzed…

Recent experiments in rhombohedrally-stacked multilayer graphene heterostructures have reported signatures of chiral superconductivity, emerging from a spin and valley-polarized normal state with broken time-reversal symmetry and an…

Superconductivity · Physics 2025-12-08 Adarsh S. Patri , Marcel Franz

We consider propagation of a paraxial beam carrying the spin angular momentum (polarization) and intrinsic orbital angular momentum (IOAM) in a smoothly inhomogeneous isotropic medium. It is shown that the presence of IOAM can dramatically…

Optics · Physics 2007-05-23 K. Yu. Bliokh

The Berry curvature of phonons is an active subject of research in condensed matter physics. Here, we present a model in which phonons acquire a Berry curvature through their coupling to electrons in crystals with time-reversal symmetry. We…

Mesoscale and Nanoscale Physics · Physics 2025-11-07 Sayandip Ghosh , Selçuk Parlak , Ion Garate

Wigner crystals are a paradigmatic form of interaction driven electronic order. A key open question is how Berry curvature and, more generally, quantum geometry reshape crystallization. The discovery of two-dimensional materials with…

We study theoretically the polarization state of light in multiple scattering media in the limit of weak gradients in refractive index. Linearly polarized photons are randomly rotated due to the Berry phase associated with the scattering…

Soft Condensed Matter · Physics 2009-09-07 A. C. Maggs , V. Rossetto

Bloch electrons in multiorbital systems carry nontrivial quantum geometric information characteristic of their orbital composition as a function of their wave vector. When such electrons form Cooper pairs, the resultant superconducting…

Superconductivity · Physics 2021-11-10 Weipeng Chen , Wen Huang

The semiclassical evolution of spinning particles has recently been re-examined in condensed matter physics, high energy physics, and optics, resulting in the prediction of the intrinsic spin Hall effect associated with the Berry phase. A…

Optics · Physics 2008-11-30 K. Y. Bliokh , A. Niv , V. Kleiner , E. Hasman

In optics, we can generate vortex beams using specific methods such as spiral phase plates or computer generated holograms. While, in nature, it is worth noting that water can produce vortices by a circularly symmetrical hole. So, if a…

In an optical experiment, we report a wave turbulence regime that, starting with weakly nonlinear waves with randomized phases, shows an inverse cascade of photons towards the lowest wavenumbers. We show that the cascade is induced by a…

Materials with Berry curvature dipoles (BDs) support a non-Hermitian electro-optic (EO) effect that is investigated here for lasing at terahertz (THz) frequencies. Such a system is here conceived as a stack of low-symmetry 2D materials. We…

The topological phases of matter are characterized using the Berry phase, a geometrical phase, associated with the energy-momentum band structure. The quantization of the Berry phase, and the associated wavefunction polarization, manifest…