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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…

Many features of Bloch oscillations in one-dimensional quantum lattices with a static force can be described by quasiclassical considerations for example by means of the acceleration theorem, at least for Hermitian systems. Here the…

Quantum Physics · Physics 2016-06-07 E M Graefe , H J Korsch , A Rush

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…

We report on experiments studying transport properties of an atomic Bose-Einstein condensate in an optical lattice of spatial period $\lambda/2n$, where $n$ is an integer, realized with the dispersion of multiphoton Raman transitions. We…

Other Condensed Matter · Physics 2009-03-16 Tobias Salger , Gunnar Ritt , Carsten Geckeler , Sebastian Kling , Martin Weitz

The motion of a quantum system subjected to an external force often defeats our classical intuition. A celebrated example is the dynamics of a single particle in a periodic potential, which undergoes Bloch oscillations under the action of a…

Quantum Gases · Physics 2025-11-11 F. Rabec , G. Chauveau , G. Brochier , S. Nascimbene , J. Dalibard , J. Beugnon

Bloch oscillations (BOs) are a fundamental phenomenon by which a wave packet undergoes a periodic motion in a lattice when subjected to an external force. Observed in a wide range of synthetic lattice systems, BOs are intrinsically related…

Mesoscale and Nanoscale Physics · Physics 2020-11-26 Marco Di Liberto , Nathan Goldman , Giandomenico Palumbo

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-Zener oscillations (BZO), i.e. the interplay between Bloch oscillations and Zener tunneling in two-band lattices under an external dc force, are ubiquitous in different areas of wave physics, including photonics. While in Hermitian…

Quantum Physics · Physics 2022-12-21 Stefano Longhi

It has long been known that quantum particles moving in a periodic lattice and subject to a constant force field undergo an oscillatory motion that is referred to as Bloch Oscillations (BOs). However, it is also known that, under quite…

Mesoscale and Nanoscale Physics · Physics 2023-08-11 J. M. Alendouro Pinho , J. P. Santos Pires , Simão M. João , B. Amorim , J. M. Viana Parente Lopes

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

Bloch oscillations and Landau-Zener tunneling are ubiquitous phenomena which are sustained by a band-gap spectrum of a periodic Hamiltonian and can be observed in dynamics of a quantum particle or a wavepacket in a periodic potential under…

Quantum Gases · Physics 2024-04-17 Henrique C. Prates , Vladimir V. Konotop

A representation is put forward for wave functions of quantum particles in periodic lattice potentials subjected to homogeneous time-periodic forcing, based on an expansion with respect to Bloch-like states which embody both the spatial and…

Quantum Gases · Physics 2011-08-10 Stephan Arlinghaus , Martin Holthaus

Light propagation in periodic environments is often associated with a number of interesting and potentially useful processes. If a crystalline optical potential is also linearly ramped, light can undergo periodic Bloch oscillations, a…

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

We describe mathematically the apparently paradoxical phenomenon that an electronic current in a semiconductor can flow because of collisions, and not despite them. A transport model of charge transport in a one-dimensional semiconductor…

Statistical Mechanics · Physics 2020-06-25 Luigi Barletti

Particles in a perfect lattice potential perform Bloch oscillations when subject to a constant force, leading to localization and preventing conductivity. For a weakly-interacting Bose-Einstein condensate (BEC) of Cs atoms, we observe giant…

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 quantum particle subjected to a constant force undergoes an accelerated motion following a parabolic path, which differs from the classical motion just because of wave packet spreading (quantum diffusion). However, when a periodic…

Quantum Physics · Physics 2016-11-03 Stefano Longhi

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 experimentally investigate the quantum motion of an impurity atom that is immersed in a strongly interacting one-dimensional Bose liquid and is subject to an external force. We find that the momentum distribution of the impurity exhibits…

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