On the reduced dynamics of a subset of interacting bosonic particles

Anno: 2018

Autori: Gessner M., Buchleitner A.

Affiliazione autori: Albert Ludwigs Univ Freiburg, Phys Inst, Hermann Herder Str 3, D-79104 Freiburg 3, Germany; CNR, INO, QSTAR, Largo Enrico Fermi 2, I-50125 Florence, Italy; LENS, Largo Enrico Fermi 2, I-50125 Florence, Italy; Ist Nazl Ric Metrol, Str Cacce 91, I-10135 Turin, Italy; Univ Oxford, Keble Coll, Oxford OX1 3PG, England.

Abstract: The quantum dynamics of a subset of interacting bosons in a sub-space of fixed particle number is described in terms of symmetrized many-particle states. A suitable partial trace operation over the von Neumann equation of an N-particle system produces a hierarchical expansion for the subdynamics of M <= N particles. Truncating this hierarchy with a pure product state ansatz yields the general, nonlinear coherent mean-field equation of motion. In the special case of a contact interaction potential, this reproduces the Gross-Pitaevskii equation. To account for incoherent effects on top of the mean-field evolution, we discuss possible extensions towards a second-order perturbation theory that accounts for interaction induced decoherence in form of a nonlinear Lindblad-type master equation. (C) 2018 Elsevier Inc. All rights reserved. Giornale/Rivista: ANNALS OF PHYSICS

Volume: 390      Da Pagina: 192  A: 213

Maggiori informazioni: We thank Ugo Marzolino for frequent discussions during the early stages of this work. M.G. thanks the German Academic Scholarship Foundation (Studienstiftung des Deutschen Volkes) for support.
Parole chiavi: Identical particles; Reduced density matrix; Bosons; Open quantum systems; BBGKY hierarchy; Gross-Pitaevskii equation
DOI: 10.1016/j.aop.2018.01.013

Citazioni: 3
dati da “WEB OF SCIENCE” (of Thomson Reuters) aggiornati al: 2025-05-18
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