Quantum transport in d-dimensional lattices

Manzano, Daniel; Chuang, Chern; Cao, Jianshu

doi:10.1088/1367-2630/18/4/043044

Title: Quantum transport in d-dimensional lattices

Journal Article · Thu Apr 28 00:00:00 EDT 2016 · New Journal of Physics

DOI:https://doi.org/10.1088/1367-2630/18/4/043044· OSTI ID:1257761

Manzano, Daniel ^[1]; Chuang, Chern ^[2]; Cao, Jianshu ^[2]

Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States); Singapore Univ. of Technology and Design (Singapore)
Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States)

We show that both fermionic and bosonic uniform d-dimensional lattices can be reduced to a set of independent one-dimensional chains. This reduction leads to the expression for ballistic energy fluxes in uniform fermionic and bosonic lattices. By the use of the Jordan–Wigner transformation we can extend our analysis to spin lattices, proving the coexistence of both ballistic and non-ballistic subspaces in any dimension and for any system size. Lastly, we then relate the nature of transport to the number of excitations in the homogeneous spin lattice, indicating that a single excitation always propagates ballistically and that the non-ballistic behaviour of uniform spin lattices is a consequence of the interaction between different excitations.

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Research Organization:: Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States)

Sponsoring Organization:: USDOE

Grant/Contract Number:: SC0001088

OSTI ID:: 1257761

Journal Information:: New Journal of Physics, Vol. 18, Issue 4; ISSN 1367-2630

Publisher:: IOP PublishingCopyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 20 works

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