New relations between spin and charge dynamics of the Fermi Hubbard model

Utilizing the Fermi gas microscope, recently the MIT group has measured the spin transport of the Fermi Hubbard model (FHM) starting from a spin-density-wave state, and the Princeton group has measured the charge transport of the FHM starting from a charge-density-wave state. Motivated by these two...

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Main Authors: Hui Zhai, Ning Sun, Jinlong Yu, Pengfei Zhang
Format: Article
Language:English
Published: IOP Publishing 2019-01-01
Series:New Journal of Physics
Subjects:
Online Access:https://doi.org/10.1088/1367-2630/aafa24
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author Hui Zhai
Ning Sun
Jinlong Yu
Pengfei Zhang
author_facet Hui Zhai
Ning Sun
Jinlong Yu
Pengfei Zhang
author_sort Hui Zhai
collection DOAJ
description Utilizing the Fermi gas microscope, recently the MIT group has measured the spin transport of the Fermi Hubbard model (FHM) starting from a spin-density-wave state, and the Princeton group has measured the charge transport of the FHM starting from a charge-density-wave state. Motivated by these two experiments, we prove a theorem that shows under certain conditions, the spin and charge transports can be equivalent to each other. The proof makes use of the particle-hole transformation of the FHM and a recently discovered symmetry protected dynamical symmetry. Our results can be directly verified in future cold atom experiment with the Fermi gas microscope.
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spelling doaj.art-e338393bf8bf4886aef5d54e3959994b2023-08-08T15:34:31ZengIOP PublishingNew Journal of Physics1367-26302019-01-0121101500310.1088/1367-2630/aafa24New relations between spin and charge dynamics of the Fermi Hubbard modelHui Zhai0Ning Sun1Jinlong Yu2https://orcid.org/0000-0001-5899-2469Pengfei Zhang3Institute for Advanced Study, Tsinghua University , Beijing, 100084, People’s Republic of China; Collaborative Innovation Center of Quantum Matter, Beijing, 100084, People’s Republic of ChinaInstitute for Advanced Study, Tsinghua University , Beijing, 100084, People’s Republic of ChinaInstitute for Advanced Study, Tsinghua University , Beijing, 100084, People’s Republic of ChinaInstitute for Advanced Study, Tsinghua University , Beijing, 100084, People’s Republic of ChinaUtilizing the Fermi gas microscope, recently the MIT group has measured the spin transport of the Fermi Hubbard model (FHM) starting from a spin-density-wave state, and the Princeton group has measured the charge transport of the FHM starting from a charge-density-wave state. Motivated by these two experiments, we prove a theorem that shows under certain conditions, the spin and charge transports can be equivalent to each other. The proof makes use of the particle-hole transformation of the FHM and a recently discovered symmetry protected dynamical symmetry. Our results can be directly verified in future cold atom experiment with the Fermi gas microscope.https://doi.org/10.1088/1367-2630/aafa24spin and charge transportthe Fermi Hubbard modelquantum simulation
spellingShingle Hui Zhai
Ning Sun
Jinlong Yu
Pengfei Zhang
New relations between spin and charge dynamics of the Fermi Hubbard model
New Journal of Physics
spin and charge transport
the Fermi Hubbard model
quantum simulation
title New relations between spin and charge dynamics of the Fermi Hubbard model
title_full New relations between spin and charge dynamics of the Fermi Hubbard model
title_fullStr New relations between spin and charge dynamics of the Fermi Hubbard model
title_full_unstemmed New relations between spin and charge dynamics of the Fermi Hubbard model
title_short New relations between spin and charge dynamics of the Fermi Hubbard model
title_sort new relations between spin and charge dynamics of the fermi hubbard model
topic spin and charge transport
the Fermi Hubbard model
quantum simulation
url https://doi.org/10.1088/1367-2630/aafa24
work_keys_str_mv AT huizhai newrelationsbetweenspinandchargedynamicsofthefermihubbardmodel
AT ningsun newrelationsbetweenspinandchargedynamicsofthefermihubbardmodel
AT jinlongyu newrelationsbetweenspinandchargedynamicsofthefermihubbardmodel
AT pengfeizhang newrelationsbetweenspinandchargedynamicsofthefermihubbardmodel