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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…

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), 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

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…

We study the Bloch oscillations (BOs) of two-component Bose-Einstein condensates (BECs) trapped in spin-dependent optical lattices. Based on the derived equations of motion of the wave packet in the basis of localized wave functions of the…

Quantum Gases · Physics 2011-11-11 Huai-Qiang Gu , Jun-Hong An , Kang Jin

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

The Bloch oscillating transistor (BOT) is a device, where single electron current through a normal tunnel junction can be used to enhance Cooper pair current in a mesoscopic Josephson junction leading to signal amplification. In this paper…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 J. Hassel , H. Seppa

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

We study the Bloch dynamics of a quasi one-dimensional Bose-Einstein condensate of cold atoms in a tilted optical lattice modeled by a Hamiltonian of Bose-Hubbard type: The corresponding mean-field system described by a discrete nonlinear…

Quantum Physics · Physics 2015-05-13 Andrey R. Kolovsky , Hans Jürgen Korsch , Eva-Maria Graefe

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 study the Bloch dynamics of a Bose-Einstein condensate of cold atoms by using the formalism of the discrete nonlinear Schroedinger equation. Depending on the static force magnitudes the system is shown to exhibit two qualitatively…

Other Condensed Matter · Physics 2007-05-23 Andrey R. Kolovsky

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

We theoretically investigate Bloch oscillations in a one-dimensional Bose-Hubbard chain, with single-particle losses from the odd lattice sites described by the Lindblad equation. For a single particle the time evolution of the state is…

Quantum Physics · Physics 2020-09-08 Bradley Longstaff , Eva-Maria Graefe

This work is devoted to Bloch oscillations (BO) of cold neutral atoms in optical lattices. After a general introduction to the phenomenon of BO and its realization in optical lattices, we study different extentions of this problem, which…

Soft Condensed Matter · Physics 2009-11-10 Andrey R. Kolovsky , Hans Jürgen Korsch

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…

We predict that an atomic Bose-Einstein condensate strongly coupled to an intracavity optical lattice can undergo resonant tunneling and directed transport when a constant and uniform bias force is applied. The bias force induces Bloch…

Quantum Gases · Physics 2014-08-20 J. Goldwin , B. Prasanna Venkatesh , D. H. J. O'Dell

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…

We study the current of Bose particles between two reservoirs connected by a one-dimensional channel. We analyze the problem from first principles by considering a microscopic model of conductivity in the noninteracting limit. Equations for…

Quantum Gases · Physics 2018-11-06 Andrey R. Kolovsky , Zakari Denis , Sandro Wimberger

In this paper, we study the emergence of a Landauer transport regime from the quantum-mechanical dynamics of free electrons in a disordered tight-binding chain, which is coupled to finite leads with open boundaries. Both partitioned and…

Mesoscale and Nanoscale Physics · Physics 2021-03-01 J. P. Santos Pires , B. Amorim , J. M. Viana Parente Lopes
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