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Atoms undergoing Bloch oscillations (BOs) in an accelerating optical lattice acquire momentum of two photon recoils per BO. This technique provides a large momentum transfer tool for atom optics, but its full exploitation for atom…

We analyse Bloch oscillations (i.e., oscillations induced by a static force) of strongly interacting Bose atoms {\em beyond} the hard-core bosons model. It is shown that residual interactions between the atoms modulate Bloch oscillations,…

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

We consider the dynamics of a quantum particle in a one-dimensional periodic potential (lattice) under the action of a static and time-periodic field. The analysis is based on a nearest-neighbor tight-binding model which allows a convenient…

Quantum Physics · Physics 2008-08-12 A. Klumpp , D. Witthaut , H. J. Korsch

Bloch oscillations of atoms in optical lattices are a powerful technique that can boost the sensitivity of atom interferometers to a wide range of signals by large momentum transfer. To leverage this method to its full potential, an…

We study the motion of electrons in a periodic background potential (usually resulting from a crystalline solid). For small velocities one would use either the non-magnetic or the magnetic Bloch hamiltonian, while in the relativistic regime…

Mathematical Physics · Physics 2007-12-31 Gianluca Panati , Herbert Spohn , Stefan Teufel

The interaction of a five-level atomic system involving electromagnetically induced transparency with four light fields is investigated. Two different light-atom configurations are considered, and their efficiency in generating large…

Optics · Physics 2009-11-11 Carlo Ottaviani , Stojan Rebic , David Vitali , Paolo Tombesi

We study theoretically Bloch oscillations of half-matter, half-light quasi-particles: exciton-polaritons. We propose an original structure for the observation of this phenomenon despite the constraints imposed by the relatively short…

Mesoscale and Nanoscale Physics · Physics 2012-01-30 Hugo Flayac , Dmitry Solnyshkov , Guillaume Malpuech

The motion of overdamped particles in a one-dimensional spatially-periodic potential is considered. The potential is also randomly-fluctuating in time, due to multiplicative colored noise terms, and has a deterministic tilt. Numerical…

Statistical Mechanics · Physics 2013-06-06 James P. Gleeson

We experimentally investigate a scheme for studying lattice transport phenomena, based on the controlled momentum-space dynamics of ultracold atomic matter waves. In the effective tight-binding models that can be simulated, we demonstrate…

Quantum Gases · Physics 2016-07-12 Eric J. Meier , Fangzhao Alex An , Bryce Gadway

The possibility of Bloch oscillations for a degenerate and superfluid Fermi gas of atoms in an optical lattice is considered. For a one-component degenerate gas the oscillations are suppressed for high temperatures and band fillings. For a…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 M. Rodriguez , P. Torma

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

Large-momentum-transfer techniques are instrumental for the next generation of atom interferometers as they significantly improve their sensitivity. State-of-the-art implementations rely on elastic scattering processes from optical lattices…

This paper presents a formalism describing the dynamics of a quantum particle in a one-dimensional, time-dependent, tilted lattice. The formalism uses the Wannier-Stark states, which are localized in each site of the lattice, and provides a…

Quantum Physics · Physics 2007-05-23 Quentin Thommen , Jean Claude Garreau , Veronique Zehnle

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

We consider dynamics of a charged particle in a finite along the $x$ direction square lattice in the presence of normal to the lattice plane magnetic field and in-plane electric field aligned with the $y$ axis. For vanishing magnetic field…

Quantum Physics · Physics 2014-06-03 Iliya Yu. Chesnokov , Andrey R. Kolovsky

Electrons in periodic potentials exhibit oscillatory motion in presence of an electric field. Such oscillations are known as Bloch oscillations. In this article we theoretically investigate the emergence of Bloch oscillations for systems…

Mesoscale and Nanoscale Physics · Physics 2017-07-05 Bogdan Stefan Popescu , Alexander Croy

The physics of critical phenomena in a many-body system far from thermal equilibrium is an interesting and important issue to be addressed both experimentally and theoretically. The trapped cold atoms have been actively used as a clean and…

Atomic Physics · Physics 2017-09-13 Geol Moon , Myoung-Sun Heo , Yonghee Kim , Heung-Ryoul Noh , Wonho Jhe

Recent experimental progress in the creation of synthetic electric and magnetic fields, acting on cold atoms in a two-dimensional lattice, has attracted renewed interest to the problem of a quantum particle in the Hall configuration. The…

Quantum Physics · Physics 2014-06-03 Andrey R. Kolovsky , Giorgio Mantica

We study Landau-Zener interband transitions for a non-symmetric optical lattice in the presence of an external force. We show that gain and losses of the light beam, as well as the relative occupation probabilities of the bands involved in…

Quantum Physics · Physics 2015-05-28 L. Morales-Molina , S. A. Reyes

Cold atoms in an optical lattice execute Bloch-Zener oscillations when they are accelerated. We have performed a theoretical investigation into the case when the optical lattice is the intra-cavity field of a driven Fabry-Perot resonator.…

Quantum Physics · Physics 2010-01-28 B. Prasanna Venkatesh , M. Trupke , E. A. Hinds , D. H. J. O'Dell