Risultati scientifici

On the reduced dynamics of a subset of interacting bosonic particles

Anno: 2018

Autori: Gessner M., Buchleitner A.

Affiliazione autori: [Gessner, Manuel; Buchleitner, Andreas] Albert Ludwigs Univ Freiburg, Phys Inst, Hermann Herder Str 3, D-79104 Freiburg 3, Germany.
[Gessner, Manuel] CNR, INO, QSTAR, Largo Enrico Fermi 2, I-50125 Florence, Italy and LENS, Largo Enrico Fermi 2, I-50125 Florence, Italy.
[Gessner, Manuel] Ist Nazl Ric Metrol, Str Cacce 91, I-10135 Turin, Italy.
[Buchleitner, Andreas] 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

Parole chiavi: identical particles; Reduced density matrix; Bosons; Open quantum systems; BBGKY hierarchy
DOI: 10.1016/j.aop.2018.01.013

Citazioni: 2
dati da “WEB OF SCIENCE” (of Thomson Reuters) aggiornati al: 2021-12-05
Riferimenti tratti da Isi Web of Knowledge: (solo abbonati)
Link per visualizzare la scheda su IsiWeb: Clicca qui
Link per visualizzare la citazioni su IsiWeb: Clicca qui

gdpr-image
This site uses cookies. If you decide to continue browsing we consider that you accept their use. For more information about cookies and how to delete them please read our Info Policy on cookies use.
Read more