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Title: Quantum transport in d-dimensional lattices

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. 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.

Authors:
 [1];  [2];  [2]
  1. Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States); Singapore Univ. of Technology and Design (Singapore)
  2. Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States)
Publication Date:
Research Org.:
Massachusetts Institute of Technology, Cambridge, MA (United States)
Sponsoring Org.:
USDOE
OSTI Identifier:
1257761
Grant/Contract Number:  
SC0001088
Resource Type:
Accepted Manuscript
Journal Name:
New Journal of Physics
Additional Journal Information:
Journal Volume: 18; Journal Issue: 4; Journal ID: ISSN 1367-2630
Publisher:
IOP Publishing
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; quantum transport; fermion; boson; spin; lattice; current; Lindblad

Citation Formats

Manzano, Daniel, Chuang, Chern, and Cao, Jianshu. Quantum transport in d-dimensional lattices. United States: N. p., 2016. Web. doi:10.1088/1367-2630/18/4/043044.
Manzano, Daniel, Chuang, Chern, & Cao, Jianshu. Quantum transport in d-dimensional lattices. United States. doi:10.1088/1367-2630/18/4/043044.
Manzano, Daniel, Chuang, Chern, and Cao, Jianshu. Thu . "Quantum transport in d-dimensional lattices". United States. doi:10.1088/1367-2630/18/4/043044. https://www.osti.gov/servlets/purl/1257761.
@article{osti_1257761,
title = {Quantum transport in d-dimensional lattices},
author = {Manzano, Daniel and Chuang, Chern and Cao, Jianshu},
abstractNote = {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.},
doi = {10.1088/1367-2630/18/4/043044},
journal = {New Journal of Physics},
number = 4,
volume = 18,
place = {United States},
year = {2016},
month = {4}
}

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Cited by: 3 works
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    Harnessing symmetry to control quantum transport
    journal, January 2018