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Various regimes of a charge motion along a chain in a constant electric field are investigated. This motion is simulated on the basis of the Holstein model. Earlier studies demonstrate a possibility of a uniform motion of a charge in a…

Mesoscale and Nanoscale Physics · Physics 2021-12-21 A. N. Korshunova , V. D. Lakhno

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

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

When charged particles in periodic lattices are subjected to a constant electric field, they respond by oscillating. Here we demonstrate that the magnetic analogue of these Bloch oscillations are realised in a one-dimensional ferromagnetic…

In this work, we consider the motion of a polaron in a polynucleotide Holstein molecular chain in a constant electric field. It is shown that the character of the polaron motion in the chain depends not only on the chosen parameters of the…

Statistical Mechanics · Physics 2022-01-26 A. N. Korshunova , V. D. Lakhno

We demonstrate that nonlinearity may play a constructive role in supporting Bloch oscillations in a model which is discrete, in one dimension and continuous in the orthogonal one. The model can be experimentally realized in several fields…

Pattern Formation and Solitons · Physics 2017-05-25 R. Driben , V. V. Konotop , T. Meier , A. V. Yulin

We study the quantum dynamics of soliton-like domain walls in anisotropic spin-1/2 chains in the presence of magnetic fields. In the absence of fields, domain walls form a Bloch band of delocalized quantum states while a static field…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Jordan Kyriakidis , Daniel Loss

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

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 investigate Bloch oscillations of wave packets in monolayer phosphorene with broken inversion symmetry. We find that the real space trajectories, Berry and group velocities of Bloch electron undergo Bloch oscillations in the system. The…

Mesoscale and Nanoscale Physics · Physics 2023-08-31 Abdullah Yar , Rifat Sultana

We use a neural network approach to explore the inverse problem of Bloch oscillations in a monoatomic linear chain: given a signal describing the path of oscillations of electrons as a function of time, we determine the strength of the…

Disordered Systems and Neural Networks · Physics 2016-11-11 José Antonio González , Saúl Hernández Ortiz , Carlos Eduardo López , Alfredo Raya

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

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

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

Under a perfect periodic potential, the electric current density induced by a constant electric field may exhibit nontrivial oscillations, so-called Bloch oscillations, with an amplitude that remains nonzero in the large system size limit.…

Strongly Correlated Electrons · Physics 2022-01-04 Yankang Liu , Yohei Fuji , Haruki Watanabe

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 study a model describing some aspects of the dynamics of biopolymers. The models involve either one or two finite chains with a number N of sites that represent the "units" of a biophysical system. The mechanical degrees of freedom of…

Condensed Matter · Physics 2007-05-23 Betti Hartmann , Wojtek J. Zakrzewski

We consider Bloch oscillations of Bose-Einstein condensates in presence of a time-modulated s-wave scattering length. Generically, interaction leads to dephasing and decay of the wave packet. Based on a cyclic-time argument, we…

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

Recently, polarons in the Peyrard-Bishop-Holstein model under DC electric fields were established to perform Bloch oscillations, provided the charge-lattice coupling is not large. In this work, we study this model when the charge is…

Mesoscale and Nanoscale Physics · Physics 2015-05-30 C. Herrero-Gómez , E. Díaz , F. Domínguez-Adame
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