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Quantum Simulation

Quantum transport in d-dimensional lattices

arXiv
Authors: Daniel Manzano, Chern Chuang, Jianshu Cao

Year

2015

Paper ID

28026

Status

Preprint

Abstract Read

~2 min

Abstract Words

112

Citations

N/A

Abstract

We prove analytically that both fermionic and bosonic uniform d-dimensional lattices can be reduced to a set of independent one-dimensional modes. This reduction leads to the conclusion that the dynamics in uniform fermionic and bosonic lattices is always ballistic. By the use of the Jordan-Wigner transformation we extend our analysis to spin lattices, proving the existence of both ballistic and non-ballistic subspaces in any dimension and for any system size. We then relate the nature of transport with the number of excitations in the spin lattice, indicating that a single excitation propagates always ballistically and that the non-ballistic behavior of uniform spin lattices is a consequence of the interaction between different excitations.

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  • This paper contributes to the Quantum Simulation research area in the Quantum Articles archive.
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  • We prove analytically that both fermionic and bosonic uniform d-dimensional lattices can be reduced to a set of independent one-dimensional modes.

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References & Citation Signals

[1] DOI https://doi.org/arXiv:1507.05705 [2] arXiv https://arxiv.org/abs/1507.05705 [3] Publisher https://arxiv.org/abs/1507.05705

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