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Related papers: Bloch oscillations: Inverse problem

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The standard Bloch oscillation normally refers to the oscillatory tunneling dynamics of quantum particles in a periodic lattice plus a linear gradient. In this work we theoretically investigate the generalized form of the Bloch oscillation…

Atomic Physics · Physics 2019-11-13 Qian-Ru Zhu , Shou-Long Chen , Shao-Jun Li , Xue-Ting Fang , Lushuai Cao , Zhong-Kun Hu

We study the behaviour of the expectation value of the acceleration of a particle in a one-dimensional periodic potential when an external homogeneous force is suddenly applied. The theory is formulated in terms of modified Bloch states…

Quantum Physics · Physics 2015-06-04 Federico Duque-Gomez , J. E. Sipe

We numerically investigate the damping of Bloch oscillations in a one-dimensional lattice potential whose translational symmetry is broken in a systematic manner, either by making the potential bichromatic or by introducing scatterers at…

Quantum Gases · Physics 2010-04-13 Stefan Walter , Dominik Schneble , Adam C. Durst

In this paper we describe and compare different methods used for accurate determination of forces acting on matter-wave packets in optical lattices. The quantum interference nature responsible for the production of both Bloch oscillations…

Atomic Physics · Physics 2013-01-15 M. G. Tarallo , A. Alberti , N. Poli , M. L. Chiofalo , F. -Y. Wang , G. M. Tino

We study the phenomenon of wave packet revivals of Bloch electrons and explore how to control them by a magnetic field for quantum information transfer. It is showed that the single electron system can be modulated into a linear dispersion…

Quantum Physics · Physics 2009-11-11 S. Yang , Z. Song , C. P. Sun

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

In recent years, with the increase in renewable energy and storage penetration, power flow studies in low-voltage networks have become of interest in both industry and academia. Many studies use impedance represented by sequence components…

Optimization and Control · Mathematics 2025-06-10 Ching Hong Tam , Frederik Geth , Nadarajah Mithulananthan

We report the numerical and experimental study of elastic Wannier-Stark Ladders and Bloch Oscillations in a tunable one-dimensional granular chain consisting of cylindrical particles. The Wannier-Stark Ladders are obtained by tuning the…

Mesoscale and Nanoscale Physics · Physics 2018-03-20 Xiaotian Shi , Rajesh Chaunsali , Ying Wu , Jinkyu Yang

Bloch waves and Bloch band of Bose-Einstein Condensates in optical lattices are studied. We provide further evidence for the loop structure in the Bloch band, and compute the critical values of the mean-field interaction strength for the…

Condensed Matter · Physics 2009-11-07 Biao Wu , Roberto B. Diener , Qian Niu

The dynamics in a nonlinear Schrodinger chain in an homogeneous electric field is studied. We show that discrete translational invariant integrability-breaking terms can freeze the Bloch nonlinear oscillations and introduce new faster…

Pattern Formation and Solitons · Physics 2007-05-23 F. J. Cao

The exact nonlinear response of noninteracting (Bloch) electrons is examined within a nonequilibrium formalism on the infinite-dimensional hypercubic lattice. We examine the effects of a spatially uniform, but time-varying electric field…

Statistical Mechanics · Physics 2009-11-10 V. Turkowski , J. K. Freericks

We study the dynamics of an electron wave-packet in a two-dimensional square lattice with an aperiodic site potential in the presence of an external uniform electric field. The aperiodicity is described by $\epsilon_{\bf m} =…

Disordered Systems and Neural Networks · Physics 2008-11-19 F. A. B. F. de Moura , L. P. Viana , M. L. Lyra , V. A. Malyshev , F. Dominguez-Adame

The cyclic motion of particles in a periodic potential under the influence of a constant external force is analyzed in an atom optical approach based on Landau-Zener transitions between two resonant states. The resulting complex picture of…

atom-ph · Physics 2009-10-28 Karl-Peter Marzlin , Juergen Audretsch

We consider the decay of the false vacuum, realised within a quantum quench into an anti-confining regime of the Ising spin chain with a magnetic field opposite to the initial magnetisation. Although the effective linear potential between…

Statistical Mechanics · Physics 2022-02-18 O. Pomponio , M. A. Werner , G. Zarand , G. Takacs

We introduce a neural network architecture to solve inverse problems linked to a one-dimensional integral operator. This architecture is built by unfolding a forward-backward algorithm derived from the minimization of an objective function…

Optimization and Control · Mathematics 2021-06-01 Emilie Chouzenoux , Cecile Della Valle , Jean-Christophe Pesquet

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…

In this work, we use an explainable convolutional neural network (NLS-Net) to solve an inverse problem of the nonlinear Schr\"odinger equation, which is widely used in fiber-optic communications. The landscape and minimizers of the…

Numerical Analysis · Mathematics 2021-07-20 Yiran Wang , Zhen Li

Bloch oscillations refer to the periodic oscillation of a wavepacket in a lattice under a constant force. Typically, the oscillation has a fundamental period that corresponds to the wavepacket traversing the first Brillouin zone once. Here…

Optics · Physics 2024-01-31 Naveed Khan , Peng Wang , Qidong Fu , Ce Shang , Fangwei Ye

We present a new approach to the electromagnetic inverse problem that explicitly addresses the ambiguity associated with its ill-posed character. Rather than calculating a single ``best'' solution according to some criterion, our approach…

Neurons and Cognition · Quantitative Biology 2007-05-23 David M. Schmidt , John S. George , C. C. Wood

We analyze the modulational instability of nonlinear Bloch waves in topological photonic lattices. In the initial phase of the instability development captured by the linear stability analysis, long wavelength instabilities and bifurcations…