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Under the action of a weak constant force a wavepacket in periodic potential undergoes periodic oscillations in space, returning to the initial position after one oscillation cycle. This wave phenomenon, known as Bloch oscillations (BOs),…

Mesoscale and Nanoscale Physics · Physics 2019-06-05 Chunyan Li , Weifeng Zhang , Yaroslav V. Kartashov , Dmitry V. Skryabin , Fangwei Ye

Bloch oscillations (BOs), i.e. the oscillatory motion of a quantum particle in a periodic potential, are one of the most striking effects of coherent quantum transport in the matter. In the semiclassical picture, it is well known that BOs…

Quantum Physics · Physics 2016-01-15 Stefano Longhi

Topological Bloch oscillations are a hallmark of quantum transport phenomenon in which wavepackets undergo oscillatory motion driven by the interplay between an external force and topological edge states and serve as a powerful dynamical…

Quantum Gases · Physics 2026-03-20 Chunyan Li , Ce Shang , Boris A. Malomed

Bloch oscillations (BOs) describe the coherent oscillatory motion of electrons in a periodic lattice under a constant external electric field. Deviations from pure harmonic wave packet motion or irregular Bloch oscillations can occur due to…

Materials Science · Physics 2025-10-07 Chenhaoyue Wang , Carlos J. Garcia-Cervera , Amartya S. Banerjee

Bloch oscillations (BOs) refer to a periodically oscillatory motion of particle in lattice systems driven by a constant force. By temporally modulating acoustic waveguides, BOs can be generalized from spatial to frequency domain, opening…

Applied Physics · Physics 2019-06-12 Chengzhi Qin , Yugui Peng , Ying Li , Xuefeng Zhu , Bing Wang , Cheng-Wei Qiu , Peixiang Lu

Bloch Oscillations (BOs) of quantum particles manifest themselves as periodic spreading and re-localization of the associated wave functions when traversing lattice potentials subject to external gradient forces. Albeit BOs are deeply…

Topology is central to phenomena that arise in a variety of fields, ranging from quantum field theory to quantum information science to condensed matter physics. Recently, the study of topology has been extended to open systems, leading to…

Non-Abelian anyons, which correspond to collective excitations possessing multiple fusion channels and noncommuting braiding statistics, serve as the fundamental constituents for topological quantum computation. Here, we reveal the exotic…

Mesoscale and Nanoscale Physics · Physics 2024-09-17 Xiaoqi Zhou , Weixuan Zhang , Hao Yuan , Xiangdong Zhang

Bloch oscillations refer to the periodic oscillation of a wavepacket in a lattice under a constant force. Typically, the oscillation has a fundamental period that corresponds to the wavepacket traversing the first Brillouin zone once. Here…

Optics · Physics 2024-01-31 Naveed Khan , Peng Wang , Qidong Fu , Ce Shang , Fangwei Ye

We report new oscillations of wavepackets in quantum walks subjected to electric fields, that decorate the usual Bloch-Zener oscillations of insulators. The number of turning points (or sub-oscillations) within one Bloch period of these…

Mesoscale and Nanoscale Physics · Physics 2020-11-06 L. K. Upreti , C. Evain , S. Randoux , P. Suret , A. Amo , P. Delplace

Braiding has attracted significant attention in physics because of its important role in describing the fundamental exchange of particles. Infusing the braiding with topological protection will make it robust against imperfections and…

Quantum Physics · Physics 2025-07-03 Xiao-Ming Wang , Jiaying Xu , Xulong Wang , Zhen Li , Guancong Ma

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

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

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

When nanometric, noncoplanar spin textures with scalar spin chirality (SSC) are coupled to itinerant electrons, they endow the quasiparticle wavefunctions with a gauge field, termed Berry curvature, in a way that bears analogy to…

Bloch oscillations, the oscillatory motion of a quantum particle in a periodic potential, are one of the most fascinating effects of coherent quantum transport. Originally studied in the context of electrons in crystals, Bloch oscillations…

Motivated by a recent proposal on the possibility of observing a monopole in the band structure, and by an increasing interest on the role of Berry phase in spintronics, we studied the adiabatic motion of a wave packet of Bloch functions,…

Mesoscale and Nanoscale Physics · Physics 2010-04-05 Ryuichi Shindou , Ken-Ichiro Imura

The standard Bloch oscillation normally refers to the oscillatory tunneling dynamics of quantum particles in a periodic lattice plus a linear gradient. In this work we theoretically investigate the generalized form of the Bloch oscillation…

Atomic Physics · Physics 2019-11-13 Qian-Ru Zhu , Shou-Long Chen , Shao-Jun Li , Xue-Ting Fang , Lushuai Cao , Zhong-Kun Hu

A photonic realization of Bloch oscillations (BOs) of two correlated electrons that move on a one-dimensional periodic lattice, based on spatial light transport in a square waveguide array with a defect line, is theoretically proposed. The…

Strongly Correlated Electrons · Physics 2015-06-03 Stefano Longhi

Bloch oscillations (BO) in complex lattices with PT symmetry are theoretically investigated with specific reference to optical BO in photonic lattices with gain/loss regions. Novel dynamical phenomena with no counterpart in ordinary…

Other Condensed Matter · Physics 2010-01-08 S. Longhi
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