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We consider the dynamics of noninteracting electrons on a square lattice in the presence of a magnetic flux {\alpha} and a dc electric field E oriented along the lattice diagonal. In general, the adiabatic dynamics of an electron will be…

Disordered Systems and Neural Networks · Physics 2016-06-14 Sergej Flach , Ramaz Khomeriki

Super-Bloch oscillations are the outcome of a relative phase between Bloch oscillations and modulations of the periodic lattice. We analyze the dynamics for a model system in which such a relative phase is intrinsically present due to the…

Quantum Gases · Physics 2022-04-27 Usman Ali , Torsten Meier

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

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…

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

Bloch oscillations appear for a particle in a weakly tilted periodic potential. The intrinsic spin Hall effect is an outcome of a spin-orbit coupling. We demonstrate that both these phenomena can be realized simultaneously in a gas of…

Quantum Gases · Physics 2015-05-18 Jonas Larson , Jani-Petri Martikainen , Anssi Collin , Erik Sjoqvist

The connection between symmetries and conservation laws is a cornerstone of physics. It underlies Bloch's theorem which explains wave phenomena in all linear periodic systems. Here we demonstrate that, in a nonlinear grating with memory,…

We study the static and the dynamic response of coherently coupled two component Bose-Einstein condensates due to a spin-dipole perturbation. The static dipole susceptibility is determined and it is shown to be a key quantity to identify…

Quantum Gases · Physics 2015-09-30 Alberto Sartori , Jamir Marino , Sandro Stringari , Alessio Recati

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 have derived a new set of semiclassical equations for electrons in magnetic Bloch bands. The velocity and energy of magnetic Bloch electrons are found to be modified by the Berry phase and magnetization. This semiclassical approach is…

Condensed Matter · Physics 2009-10-28 M. C. Chang , Q. Niu

We analyze the optomechanics of an atomic Bose-Einstein condensate interacting with the optical lattice inside a laser-pumped optical cavity and subject to a uniform bias force such as gravity. An atomic wave packet in a tilted lattice…

Quantum Physics · Physics 2016-02-05 B. Prasanna Venkatesh , D. H. J. O'Dell , J. Goldwin

The periodically kicked quantum rotor is known for non-classical effects such as quantum localisation in angular momentum space or quantum resonances in rotational excitation. These phenomena have been studied in diverse systems mimicking…

Quantum Physics · Physics 2015-11-18 Johannes Floß , Andrei Kamalov , Ilya Sh. Averbukh , Philip H. Bucksbaum

A charge motion in an electric field in a Holstein molecular chain is modeled in the absence of dissipation. It is shown that in a weak electric field a Holstein polaron moves uniformly experiencing small oscillations of its shape. These…

Mesoscale and Nanoscale Physics · Physics 2013-04-04 V. D. Lakhno , A. N. Korshunova

We present a new technique for stabilizing and monitoring Bloch oscillations of ultracold atoms in an optical lattice under the action of a constant external force. In the proposed scheme, the atoms also interact with a unidirectionally…

Quantum Gases · Physics 2015-03-31 M. Samoylova , N. Piovella , D. Hunter , G. R. M. Robb , R. Bachelard , Ph. W. Courteille

The equations of motion for the position and gauge invariant crystal momentum are considered for multiband wave packets of Bloch electrons. For a localized packet in a subset of bands well-separated from the rest of the band structure of…

Mesoscale and Nanoscale Physics · Physics 2019-02-05 Troy Stedman , Carsten Timm , Lilia M. Woods

In a semiconductor superlattice with long scattering times, damping of Bloch oscillations due to scattering is so small that nonlinearities may compensate it and Bloch oscillations persist even in the hydrodynamic regime. To demonstrate…

Mesoscale and Nanoscale Physics · Physics 2012-05-08 L. L. Bonilla , M. Álvaro , M. Carretero

We report the direct observation and characterization of position-space Bloch oscillations using an ultracold gas in a tilted optical lattice. While Bloch oscillations in momentum space are a common feature of optical lattice experiments,…

We consider matter-wave solitons in spin-orbit coupled Bose-Einstein condensates embedded in optical lattice and study dynamics of soliton within the framework of Gross-Pitaevskii equations. We express spin components of the soliton pair in…

Quantum Gases · Physics 2024-09-10 Kajal Krishna Dey , Golam Ali Sekh

A rotating Bose-Einstein condensate is shown to exhibit a Bloch band structure without the need of periodic potential. Vortices enter the condensate by a mechanism similar to the Bragg reflection, if the frequency of a rotating drive or the…

Soft Condensed Matter · Physics 2009-11-10 Hiroki Saito , Masahito Ueda

In this paper we describe our work on spin polarization in high-energy electron storage rings which we base on the Bloch equation for the polarization density and which aims towards the e-/e+ option of the proposed Future Circular Collider…

Accelerator Physics · Physics 2020-07-30 Klaus Heinemann , Daniel Appelö , Desmond P. Barber , Oleksii Beznosov , James A. Ellison
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