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The Sign Problem in Quantum Simulations


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We are looking both at the correlations which arise
in a generalization of the conventional Hubbard
<BR> 
Hamiltonian to having more internal degrees of freedom
than the usual N=2 (spin up and psin down).
<BR>
This SU(N) Hubbard model is relevant to a number of
physical contexts, eg ultrcold Yb173 atoms on 
<BR>
an optical lattice.
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Relevant Publications:

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<TABLE WIDTH="950" BORDER=4 CELLPADDING=2
       CELLSPACING=2 BACKGROUND=chalk.gif" link="#ff0000">



<TR NOSAVE class=publish>
<TD class=publish>
[324]
 Eduardo Ibarra-Garcia-Padilla, Chunhan Feng,
 Giulio Pasqualetti, Simon Foelling, Richard T. Scalettar,
 Ehsan Khatami, and Kaden R. A. Hazzard,
<BR>
<b>
Metal-insulator transition and magnetism of SU(3) fermions
in the square  lattice,
<BR>
</b>
submitted to Physical Review A.
</TD>

<TR NOSAVE class=publish>
<TD class=publish>
[305]
Eduardo Ibarra-Garc'ia-Padilla, Sohail Dasgupta, Hao-Tian Wei,
Shintaro Taie, Yoshiro Takahashi, Richard T. Scalettar,
and Kaden R. A. Hazzard,
<BR>
<b>
Universal thermodynamics of an SU($N$) Fermi-Hubbard Model,
<BR>
</b>
Phys. Rev. A104, 043316, editor's suggestion (2021).
</TD>
<TD class=pdf>
<a href="publications/PhysRevA.104.043316.pdf">
<img border=0 src="pdf.gif"/></a>
</TD>

<TR NOSAVE class=publish>
<TD class=publish>
[298]
Shintaro Taie, Eduardo Ibarra-Garcia-Padilla,
Naoki Nishizawa, Yosuke Takasu,
Yoshihito Kuno, Hao-Tian Wei,
Richard T. Scalettar, Kaden R. A. Hazzard,
and Yoshiro Takahashi,
<BR>
<b>
Observation of antiferromagnetic correlations in an ultracold
SU(N) Hubbard model,
<BR>
</b>
Nature Physics 18, 1356 (2022).
</TD>
<TD class=pdf>
<a href="publications/s41567-022-01725-6.pdf">
<img border=0 src="pdf.gif"/></a>
</TD>










</TABLE>


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