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Topological properties lie at the heart of many fascinating phenomena in solid state systems such as quantum Hall systems or Chern insulators. The topology can be captured by the distribution of Berry curvature, which describes the geometry…

Quantum Gases · Physics 2016-05-31 N. Fläschner , B. S. Rem , M. Tarnowski , D. Vogel , D. -S. Lühmann , K. Sengstock , C. Weitenberg

The topological characteristics of energy bands in crystalline systems are encapsulated in the Berry curvature of the bulk Bloch states. In photonic crystal slabs, far-field emission from guided resonances naturally provides a non-invasive…

Two-dimensional van der Waals heterostructures can be engineered into artificial superlattices that host flat bands with significant Berry curvature and provide a favorable environment for the emergence of novel electron dynamics. In…

Mesoscale and Nanoscale Physics · Physics 2023-07-06 Vo Tien Phong , E. J. Mele

The Berry curvature provides a powerful tool to unify several branches of science through their geometrical aspect: topology, energy bands, spin and vector fields. While quantum defects -- phase vortices and skyrmions -- have been in the…

We study the magnetic Bloch oscillations performed by a quantum particle moving in a two-dimensional lattice in the presence of a strong (synthetic) magnetic field and a uniform force. An elementary derivation of the Berry curvature effect…

Quantum Gases · Physics 2013-07-25 Marco Cominotti , Iacopo Carusotto

Steady illumination of a non-centrosymmetric semiconductor results in a bulk photovoltaic current, which is contributed by real-space displacements (`shifts') of charged quasiparticles as they transit between Bloch states. The shift induced…

Mesoscale and Nanoscale Physics · Physics 2025-08-12 Penghao Zhu , A. Alexandradinata

The Berry curvature (BC) - a quantity encoding the geometric properties of the electronic wavefunctions in a solid - is at the heart of different Hall-like transport phenomena, including the anomalous Hall and the non-linear Hall and Nernst…

Mesoscale and Nanoscale Physics · Physics 2023-03-03 Maria Teresa Mercaldo , Canio Noce , Andrea D. Caviglia , Mario Cuoco , Carmine Ortix

The importance of simple geometrical invariants, such as the Berry curvature and quantum metric, constructed from the Bloch states of a crystal has become well-established over four decades of research. More complex aspects of geometry…

Strongly Correlated Electrons · Physics 2025-08-07 Johannes Mitscherling , Alexander Avdoshkin , Joel E. Moore

Artificial crystals such as moir\'e superlattices can have a real-space periodicity much larger than the underlying atomic scale. This facilitates the presence of Bloch oscillations in the presence of a static electric field. We demonstrate…

Mesoscale and Nanoscale Physics · Physics 2023-11-23 Christophe De Beule , E. J. Mele

In the long-wavelength limit, Bloch-band Berry curvature has no effect on the bulk plasmons of a two-dimensional electron system. In this Letter we show instead that bulk plasmons are a probe of real-space topology. In particular, we focus…

Mesoscale and Nanoscale Physics · Physics 2025-07-16 Lorenzo Cavicchi , Koen J. A. Reijnders , Mikhail I. Katsnelson , Marco Polini

We propose a general method by which experiments on ultracold gases can be used to determine the topological properties of the energy bands of optical lattices, as represented by the map of the Berry curvature across the Brillouin zone. The…

Quantum Gases · Physics 2012-04-12 H. M. Price , N. R. Cooper

Vortices are ubiquitous in nature and can be observed in fluids, condensed matter, and even in the formation of galaxies. Light, too, can evolve like a vortex. Optical vortices are exploited in light-matter interaction, free-space…

Optics · Physics 2023-10-26 Ahmed H. Dorrah , Alfonso Palmieri , Lisa Li , Federico Capasso

We experimentally generate optical tornado waves using spatial multiplexing on a single-phase modulation device. In their focal region, the intensity pattern outlines a spiral of decreasing radius and pitch. We examine the propagation…

Under the Born-Oppenheimer approximation, the electronic ground state evolves adiabatically and can accumulate geometrical phases characterized by the molecular Berry curvature. In this work, we study the effect of the molecular Berry…

Mesoscale and Nanoscale Physics · Physics 2022-02-23 Daniyar Saparov , Bangguo Xiong , Yafei Ren , Qian Niu

The geometry of Bloch bands affects many physical properties of crystalline solids and other spatially periodic systems. Direct experimental determination of such geometry is an active area of research. In this work, we focus on the…

Quantum Gases · Physics 2026-05-20 Shao-Wen Chang , Malte N. Schwarz , Erin G. Moloney , Ke Lin , Dan M. Stamper-Kurn

We investigate a photonic device consisting of two coupled optical cavities possessing Rashba-Dresselhaus spin-orbit coupling, TE-TM splitting, and linear polarisation splitting that opens a tuneable energy gap at the diabolic points of the…

Mesoscale and Nanoscale Physics · Physics 2021-03-03 Pavel Kokhanchik , Helgi Sigurdsson , Barbara Piętka , Jacek Szczytko , Pavlos G. Lagoudakis

Engineering of the orbital angular momentum (OAM) of light due to interaction with photonic lattices reveals rich physics and motivates potential applications. We report the experimental creation of regularly-distributed quantized vortex…

Circularly polarized photons have the Berry curvature in the semiclassical regime. Based on the kinetic equation for such chiral photons, we derive the (non)equilibrium expression of the photon current in the direction of the vorticity. We…

High Energy Physics - Theory · Physics 2017-10-09 Naoki Yamamoto

Solar magnetized "tornadoes", a phenomenon discovered in the solar atmosphere, appear as tornado-like structures in the corona but root in the photosphere. Like other solar phenomena, solar tornadoes are a feature of magnetized plasma and…

Solar and Stellar Astrophysics · Physics 2015-06-05 Yang Su , Tongjiang Wang , Astrid Veronig , Manuela Temmer , Weiqun Gan

We exploit theoretically the occurrence and tunability of photonic Bloch oscillations (PBOs) in one-dimensional photonic crystals (PCs) containing nonlinear composites. Because of the enhanced third-order nonlinearity (Kerr type…

Optics · Physics 2008-10-27 Gang Wang , Ji Ping Huang , Kin Wah Yu
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