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Variational solutions of the Boltzmann equation usually rely on the concept of linear response. We extend the variational approach for tight-binding models at high entropies to a regime far beyond linear response. We analyze both weakly…

Quantum Gases · Physics 2015-06-22 Stephan Mandt

The Bloch and dipole oscillations of a Bose Einstein condensate (BEC) in an optical superlattice is investigated. We show that the effective mass increases in an optical superlattice, which leads to localization of the BEC, in accordance…

Statistical Mechanics · Physics 2009-11-13 Aranya B Bhattacherjee , Monika Pietrzyk

We present atom-interferometer tests of the local Lorentz invariance of post-Newtonian gravity. An experiment probing for anomalous vertical gravity on Earth, which has already been performed by us, uses the highest-resolution atomic…

General Relativity and Quantum Cosmology · Physics 2010-04-15 Keng-Yeow Chung , Sheng-wey Chiow , Sven Herrmann , Steven Chu , Holger Mueller

We study the dynamics of Bose-Einstein condensed atoms in a 1-D optical lattice potential in a regime where the collective (Josephson) tunneling energy is comparable with the on-site interaction energy, and the number of particles per…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 A. K. Tuchman , W. Li , H. Chien , S. Dettmer , M. A. Kasevich

We discuss techniques for probing the effects of a constant force acting on cold atoms using two configurations of a grating echo-type atom interferometer. Laser-cooled samples of $^{85}$Rb with temperatures as low as 2.4 $\mu$K have been…

Atomic Physics · Physics 2013-02-05 B. Barrett , I. Chan , A. Kumarakrishnan

Sinusoidal Bloch oscillations appear in band structures exposed to external fields. Landau-Zener (LZ) tunneling between different bands is usually a counteracting effect limiting Bloch oscillations. Here we consider a flat band network with…

Disordered Systems and Neural Networks · Physics 2016-06-22 Ramaz Khomeriki , Sergej Flach

We study coherent dynamics of tight-binding systems interacting with static and oscillating external fields. We consider Bloch oscillations and Wannier-Stark localization caused by dc fields, and compare these effects to dynamic…

Condensed Matter · Physics 2015-06-25 Martin Holthaus , Daniel W. Hone

We show that squeezing is a crucial resource for interferometers based on the spatial separation of ultra-cold interacting matter. Atomic interactions lead to a general limitation for the precision of these atom interferometers, which can…

We present an in-situ study of an optical lattice with tunneling and single lattice site resolution. This system provides an important step for realizing a quantum computer. The real-space images show the fluctuations of the atom number in…

Other Condensed Matter · Physics 2010-07-06 A. Itah , H. Veksler , O. Lahav , A. Blumkin , C. Moreno , C. Gordon , J. Steinhauer

We study the dynamics of few interacting bosons in a one-dimensional lattice with dc bias. In the absence of interactions the system displays single particle Bloch oscillations. For strong interaction the Bloch oscillation regime reemerges…

Other Condensed Matter · Physics 2015-05-18 Ramaz Khomeriki , Dmitry O. Krimer , Masudul Haque , Sergej Flach

Defects in tight-binding lattices generally destroy the onset of Bloch oscillations (BOs) and the periodic self-imaging of the wave packet due to the lack of an equally-spaced Wannier-Stark ladder spectrum. Here it is shown that localized…

Other Condensed Matter · Physics 2015-05-19 Stefano Longhi

We report experimental results on the properties of Bose-Einstein condensates in 1D optical lattices. By accelerating the lattice, we observed Bloch oscillations of the condensate in the lowest band, as well as Landau-Zener (L-Z) tunneling…

Soft Condensed Matter · Physics 2009-11-07 M. Cristiani , O. Morsch , J. H. Müller , D. Ciampini , E. Arimondo

In this paper we present a short overview of atom interferometry based on light pulses. We discuss different implementations and their applications for high precision measurements. We will focus on the determination of the ratio h/m of the…

Superflow of Bose-Einstein condensate in an optical lattice is represented by a Bloch wave, a plane wave with periodic modulation of the amplitude. We review the theoretical results on the interaction effects in the energy dispersion of the…

Soft Condensed Matter · Physics 2007-05-23 Biao Wu , Qian Niu

Cold-atom inertial sensors target several applications in navigation, geoscience and tests of fundamental physics. Reaching high sampling rates and high inertial sensitivities, obtained with long interrogation times, represents a challenge…

Atomic Physics · Physics 2019-01-09 D. Savoie , M. Altorio , B. Fang , L. A. Sidorenkov , R. Geiger , A. Landragin

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

We examine the high-frequency differential conductivity response properties of semiconductor superlattices having various miniband dispersion laws. Our analysis shows that the anharmonicity of Bloch oscillations (beyond tight-binding…

Condensed Matter · Physics 2009-11-07 Yuriy A. Romanov , Lev G. Mourokh , Norman J. M. Horing

We discuss the possibility to enhance the sensitivity of optical interferometric devices by increasing its open area using an external field gradient that act differently on the two arms of the interfer-ometers. The use of combined electric…

Atomic Physics · Physics 2020-02-26 D. Comparat

Various fields such as mechanical engineering, materials science, etc., have seen a widespread use of linear elastic fracture mechanics (LEFM) at the continuum scale. LEFM is also routinely applied to the atomic scale. However, its…

Materials Science · Physics 2022-08-25 Tarakeshwar Lakshmipathy , Paul Steinmann , Erik Bitzek

We report on the realization of a quantum sensor based on trapped atom interferometry in an optical lattice for the measurement of atom-surface interactions, with sub-micrometer-level control of the mean atom-surface separation distance.…

Atomic Physics · Physics 2023-10-24 Yann Balland , Luc Absil , Franck Pereira dos Santos
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