Quantum transport in d-dimensional lattices. (28th April 2016)

• Record Type: Journal Article
• Authors: Manzano, Daniel; Chuang, Chern; Cao, Jianshu
• Is Part Of: New journal of physics. Volume 18:Number 4(2016:Apr.)
• Publication Date: 2016-04-28
• Subjects: quantum transport -- fermion -- boson -- spin -- lattice -- current -- Lindblad; Physics -- Periodicals; Physics; Periodicals; 530.05
• DOI: 10.1088/1367-2630/18/4/043044
• Languages: English
• ISSNs: 1367-2630

Abstract

Abstract: 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. 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.