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Electron pairing in periodic potentials under an external electric field

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      Abstract

      We study the semiclassical dynamics of interacting electrons in a biased crystal lattice. A complex dynamical scenario emerges from the interplay between the Coulomb and the external electric fields. When the electrons are far apart, the Coulomb potential may be small compared to the external potential and the electrons oscillate with effective Bloch frequencies, determined by the local electric field. In the opposite case, nearby electrons either separate or form a bound pair, depending on the initial energy compared to the band width. The pair due to the Coulomb field is stable even in the absence of the external field.

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      Interaction-induced decoherence of atomic Bloch oscillations

      We show that the energy spectrum of the Bose-Hubbard model amended by a static field exhibits Wigner-Dyson level statistics. In itself a characteristic signature of quantum chaos, this induces the irreversible decay of Bloch oscillations of cold, interacting atoms loaded into an optical lattice, and provides a Hamiltonian model for interaction induced decoherence.
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        Interaction induced fractional Bloch and tunneling oscillations

        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 with fractional Bloch periods which are inversely proportional to the number of bosons clustered into a bound state. The interaction strength is affecting the oscillation amplitude. Excellent agreement is found between numerical data and a composite particle dynamics approach. For specific values of the interaction strength a particle will tunnel from the interacting cloud to a well defined distant lattice location.
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          Coherent Hall Effect in a Semiconductor Superlattice

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            Author and article information

            Journal
            13 March 2013
            2013-06-26
            1303.3208
            10.1103/PhysRevB.87.224306

            http://arxiv.org/licenses/nonexclusive-distrib/1.0/

            Custom metadata
            Physical Review B 87, 224306 (2013)
            5 pages, 4 figures, some minor corrections and some additional references
            cond-mat.str-el cond-mat.mes-hall

            Condensed matter, Nanophysics

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