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Subdiffusive and superdiffusive quantum transport and generalized duality.

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Subdiffusive and superdiffusive quantum transport and generalized duality. / Sassetti, Maura; Schomerus, Henning; Weiss, Ulrich.
In: Physical review B, Vol. 53, 1996, p. R2914.

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Sassetti, Maura ; Schomerus, Henning ; Weiss, Ulrich. / Subdiffusive and superdiffusive quantum transport and generalized duality. In: Physical review B. 1996 ; Vol. 53. pp. R2914.

Bibtex

@article{fa1a7964e03b408893d8de8c3f8fd0bc,
title = "Subdiffusive and superdiffusive quantum transport and generalized duality.",
abstract = "As a generic model for transport of interacting fermions through a barrier or interstitials in a lattice, quantum Brownian motion in a periodic potential is studied. There is a duality transformation between the continuous coordinate or phase representation and the discrete momentum or charge representation for general frequency-dependent damping. Sub-Ohmic friction is mapped on super-Ohmic friction, and vice versa. The mapping is exact for arbitrary barrier height and valid at any temperature. Thus all features of the continuous model can be investigated from analytical or numerical analysis of the discrete model. Nonperturbative results for the frequency-dependent linear mobility including subdiffusive and superdiffusive behaviors are reported.",
author = "Maura Sassetti and Henning Schomerus and Ulrich Weiss",
year = "1996",
language = "English",
volume = "53",
pages = "R2914",
journal = "Physical review B",
issn = "1550-235X",
publisher = "AMER PHYSICAL SOC",

}

RIS

TY - JOUR

T1 - Subdiffusive and superdiffusive quantum transport and generalized duality.

AU - Sassetti, Maura

AU - Schomerus, Henning

AU - Weiss, Ulrich

PY - 1996

Y1 - 1996

N2 - As a generic model for transport of interacting fermions through a barrier or interstitials in a lattice, quantum Brownian motion in a periodic potential is studied. There is a duality transformation between the continuous coordinate or phase representation and the discrete momentum or charge representation for general frequency-dependent damping. Sub-Ohmic friction is mapped on super-Ohmic friction, and vice versa. The mapping is exact for arbitrary barrier height and valid at any temperature. Thus all features of the continuous model can be investigated from analytical or numerical analysis of the discrete model. Nonperturbative results for the frequency-dependent linear mobility including subdiffusive and superdiffusive behaviors are reported.

AB - As a generic model for transport of interacting fermions through a barrier or interstitials in a lattice, quantum Brownian motion in a periodic potential is studied. There is a duality transformation between the continuous coordinate or phase representation and the discrete momentum or charge representation for general frequency-dependent damping. Sub-Ohmic friction is mapped on super-Ohmic friction, and vice versa. The mapping is exact for arbitrary barrier height and valid at any temperature. Thus all features of the continuous model can be investigated from analytical or numerical analysis of the discrete model. Nonperturbative results for the frequency-dependent linear mobility including subdiffusive and superdiffusive behaviors are reported.

M3 - Journal article

VL - 53

SP - R2914

JO - Physical review B

JF - Physical review B

SN - 1550-235X

ER -