2015/07/31 by Daniel Manzano, Chern Chuang, Jianshu Cao
Physics and Astronomy · #Ballistic conduction #Cold Atom Physics and Bose-Einstein Condensates #Condensed matter physics #Dimension (graph theory) #Electron #Excitation #Homogeneous #Lattice (music) #Linear subspace #Physics #Pure mathematics #Quantum #Quantum and electron transport phenomena #Quantum many-body systems #Quantum mechanics #Spin (aerodynamics) #Statistical physics #cond-mat.stat-mech #quant-ph
paper · pdf · doi:10.1088/1367-2630/18/4/043044
published as 2016 New J. Phys. 18 043044 · 13 pages, 5 figures
openalex publication_date 2016/04/28 · arxiv created 2016/05/02 · arxiv updated 2016/05/03 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/06
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.