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We point out that in higher dimensions, in contrast to the one dimensional case considered usually, Bloch oscillation driven by a static force can induce transport of the wave packet. The wave packet oscillates constantly, but on a larger…

Quantum Physics · Physics 2012-11-06 J. M. Zhang , W. M. Liu

We investigate the interplay of Bloch oscillations and Anderson localization in optics. Gradual washing out of Bloch oscillations and the formation of nearly stationary averaged intensity distributions, which are symmetric for narrow and…

Bloch oscillations are a phenomenon well known from quantum mechanics where electrons in a lattice experience an oscillatory motion in the presence of an electric field gradient. Here, we report on Bloch oscillations of hybrid light-matter…

A Lie-algebraic approach successfully used to describe one-dimensional Bloch oscillations in a tight-binding approximation is extended to two dimensions. This extension has the same algebraic structure as the one-dimensional case while the…

Quantum Physics · Physics 2009-11-10 S. Mossmann , A. Schulze , D. Witthaut , H. J. Korsch

We address Bloch oscillations of a spin-orbit coupled atom in periodic potentials of two types: Optical and Zeeman lattices. We show that in optical lattices the spin-orbit coupling allows controlling the direction of atomic motion and may…

Quantum Gases · Physics 2016-11-22 Yaroslav V. Kartashov , Vladimir V. Konotop , Dmitry A. Zezyulin , Lluis Torner

A transmon qubit embedded in a high-impedance environment acts in a way dual to a conventional Josephson junction. In analogy to the AC Josephson effect, biasing of the transmon by a direct current leads to the oscillations of voltage…

Mesoscale and Nanoscale Physics · Physics 2024-03-08 Vladislav D. Kurilovich , Benjamin Remez , Leonid I. Glazman

We propose an exactly solvable waveguide lattice incorporating inhomogeneous coupling coefficient. This structure provides a classical analogue to the squeezed number and squeezed coherent intensity distribution in quantum optics where the…

We introduce Bloch-wave beatings in arrays of multimode periodically bent waveguides with a transverse refractive index gradient. The new phenomenon manifests itself in the periodic drastic increase of the amplitude of the Bloch…

Optics · Physics 2015-06-19 Yaroslav V. Kartashov , Victor A. Vysloukh , Lluis Torner

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…

Bloch oscillations are a hallmark of coherent wave dynamics in periodic potentials. They occur as the response of quantum mechanical particles in a lattice if a weak force is applied. In optical lattices with their perfect periodic…

Quantum Gases · Physics 2019-04-03 H. Keßler , J. Klinder , B. P. Venkatesh , Ch. Georges , A. Hemmerich

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

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

Zener tunneling in a binary array of coupled optical waveguides with transverse index gradient is shown to produce a sequence of regular or irregular beam splitting and beam recombination events superimposed to Bloch oscillations. These…

Optics · Physics 2009-11-13 Stefano Longhi

We study the Bloch oscillation dynamics of a spin-orbit-coupled cold atomic gas trapped inside a one-dimensioanl optical lattice. The eigenspectra of the system is identified as two interpenetrating Wannier-Stark ladder. Based on that, we…

Quantum Gases · Physics 2019-02-05 Wei Ji , Keye Zhang , Weiping Zhang , Lu Zhou

Guided modes of an open periodic waveguide, with a periodicity in the main propagation direction, are Bloch modes confined around the waveguide core with no radiation loss in the transverse directions. Some guided modes can have a complex…

Optics · Physics 2020-10-28 Amgad Abdrabou , Ya Yan Lu

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

We consider Bloch oscillations of Bose-Einstein condensates in presence of a time-modulated s-wave scattering length. Generically, interaction leads to dephasing and decay of the wave packet. Based on a cyclic-time argument, we…

We study the response of an optical system with the Kerr nonlinearity demonstrating Bloch oscillations to a periodic train of coherent pulses. It has been found out that the intensity of the field excited in the system by pulses resonantly…

Chaotic Dynamics · Physics 2023-06-07 Alexey Verbitskiy , Alexey Yulin , Alexander Balanov

We consider the motion of charge carriers in a bulk wide-gap dielectric interacting with a few-cycle laser pulse. A semiclassical model based on Bloch equations is applied to describe the emerging time-dependent macroscopic currents for…

Mesoscale and Nanoscale Physics · Physics 2013-07-22 Peter Foldi , Mihaly G. Benedict , Vladislav S. Yakovlev

We study experimentally the Bloch-wave instabilities in optically-induced lattices. We reveal two different instability scenarios associated with either the transverse modulational instability of a single Bloch wave, or the nonlinear…

Pattern Formation and Solitons · Physics 2007-05-23 Dragomir Neshev , Andrey A. Sukhorukov , Yuri S. Kivshar , Wieslaw Krolikowski