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:
-
- 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)
- Publication Date:
- Research Org.:
- Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States)
- Sponsoring Org.:
- USDOE
- OSTI Identifier:
- 1257761
- Grant/Contract Number:
- SC0001088
- Resource Type:
- Journal Article: 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. https://doi.org/10.1088/1367-2630/18/4/043044
Manzano, Daniel, Chuang, Chern, and Cao, Jianshu. 2016.
"Quantum transport in d-dimensional lattices". United States. https://doi.org/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},
url = {https://www.osti.gov/biblio/1257761},
journal = {New Journal of Physics},
issn = {1367-2630},
number = 4,
volume = 18,
place = {United States},
year = {Thu Apr 28 00:00:00 EDT 2016},
month = {Thu Apr 28 00:00:00 EDT 2016}
}
Web of Science
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Works referencing / citing this record:
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