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Slow excitation trapping in quantum transport with long-range interactions

2008/04/25 by Oliver Muelken, Oliver Mülken, Volker Pernice +2
Computer Science · Mathematics · Physics and Astronomy · #Atomic physics #Cold Atom Physics and Bose-Einstein Condensates #Excitation #Hamiltonian (control theory) #Materials science #Mathematics #Molecular physics #Physics #Quantum #Quantum Information and Cryptography #Quantum and electron transport phenomena #Quantum mechanics #Range (aeronautics) #Trapping #cond-mat.stat-mech #quant-ph

paper · pdf · doi:10.1103/physreve.78.021115

published as Phys. Rev. E 78, 021115 (2008) · 4 pages, 3 figures

arxiv created 2008/04/25 · openalex publication_date 2008/08/15 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

Long-range interactions (LRIs) slow down the excitation trapping in quantum transport on a one-dimensional chain with traps at both ends when compared to the case with only nearest-neighbor interactions. This is in contrast to the corresponding classical case, in which LRIs lead to faster excitation trapping. The reason for the slowing down is to be found in subtle changes--due to LRIs--in the spectrum of the Hamiltonian. Pertubation theory allows an analytical analysis of this fact.

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