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<td>Please Save the Date: Final Oral Examination for the
Ph.D. Degree- Hao Shi - Monday, March 27 at 1:30 PM</td>
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<th align="RIGHT" nowrap="nowrap" valign="BASELINE">Date: </th>
<td>Thu, 9 Mar 2017 16:48:06 +0000</td>
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<th align="RIGHT" nowrap="nowrap" valign="BASELINE">From: </th>
<td>Wilkinson, Eleonor V <a class="moz-txt-link-rfc2396E" href="mailto:evwilk@wm.edu"><evwilk@wm.edu></a></td>
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<th align="RIGHT" nowrap="nowrap" valign="BASELINE">To: </th>
<td><a class="moz-txt-link-abbreviated" href="mailto:physics0607@physics.wm.edu">physics0607@physics.wm.edu</a>
<a class="moz-txt-link-rfc2396E" href="mailto:physics0607@physics.wm.edu"><physics0607@physics.wm.edu></a></td>
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<th align="RIGHT" nowrap="nowrap" valign="BASELINE">CC: </th>
<td><a class="moz-txt-link-abbreviated" href="mailto:undergrads0607@physics.wm.edu">undergrads0607@physics.wm.edu</a>
<a class="moz-txt-link-rfc2396E" href="mailto:undergrads0607@physics.wm.edu"><undergrads0607@physics.wm.edu></a></td>
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src="cid:part1.E9661467.10D42297@jlab.org"
v:shapes="Picture_x0020_1" height="237" hspace="12"
align="left" width="164"><!--[endif]--><b><span
style="font-size:12.0pt;font-family:"Times New
Roman",serif;color:blue;text-transform:uppercase">Physics
Dissertation Defense</span></b><b><span
style="font-size:12.0pt;font-family:"Times New
Roman",serif;color:#0066FF;text-transform:uppercase"><o:p></o:p></span></b></p>
<p class="MsoNormal"><b><span
style="font-size:14.0pt;font-family:"Times New
Roman",serif">Hao Shi<o:p></o:p></span></b></p>
<p class="MsoNormal"><span
style="font-size:12.0pt;font-family:"Times New
Roman",serif">Monday, March 27, 2017<o:p></o:p></span></p>
<p class="MsoNormal"><span
style="font-size:12.0pt;font-family:"Times New
Roman",serif">1:30 P.M.<o:p></o:p></span></p>
<p class="MsoNormal"><span
style="font-size:12.0pt;font-family:"Times New
Roman",serif">Earl Gregg Swem Library, Ford Room<o:p></o:p></span></p>
<p class="MsoNormal"><span
style="font-size:12.0pt;font-family:"Times New
Roman",serif"><o:p> </o:p></span></p>
<p class="MsoNormal"><b><span
style="font-size:14.0pt;font-family:"Times New
Roman",serif"><o:p> </o:p></span></b></p>
<p class="MsoNormal"><b><span
style="font-size:12.0pt;font-family:"Times New
Roman",serif;color:blue;text-transform:uppercase">Title
of Talk:</span></b><span
style="font-size:12.0pt;font-family:"Times New
Roman",serif;color:blue"> </span><b><i><span
style="font-size:16.0pt;font-family:"Times New
Roman",serif">Computational Studies of Strongly
Correlated Quantum Matter</span></i></b><b><i><span
style="font-size:14.0pt;font-family:"Times New
Roman",serif"><o:p></o:p></span></i></b></p>
<p class="MsoNormal"><b><span style="color:#1F497D"><o:p> </o:p></span></b></p>
<p class="MsoNormal"><b><span style="color:#1F497D"><o:p> </o:p></span></b></p>
<p class="MsoNormal"><b><span
style="font-size:14.0pt;font-family:"Times New
Roman",serif;color:#1F497D"><o:p> </o:p></span></b></p>
<p class="MsoNormal"><b><span style="color:#1F497D"><o:p> </o:p></span></b></p>
<p class="MsoNormal"><b><span style="color:#1F497D"><o:p> </o:p></span></b></p>
<p class="MsoNormal"><b><span style="color:#1F497D"><o:p> </o:p></span></b></p>
<p class="MsoNormal"><b><span
style="font-size:12.0pt;font-family:"Times New
Roman",serif;color:blue">Abstract:</span></b><span
style="font-size:12.0pt;font-family:"Times New
Roman",serif"> The study of strongly correlated quantum
many-body systems is an outstanding challenge. Highly
accurate results are needed for the understanding of
practical and fundamental problems in condensed-matter
physics, high energy physics, material science, quantum
chemistry and so on. Our familiar mean-field or perturbative
methods tend to be ineffective. Numerical simulations
provide a promising approach for studying such systems. The
fundamental difficulty of numerical simulation is that the
dimension of the Hilbert space needed to describe
interacting systems increases exponentially with the system
size. Quantum Monte Carlo (QMC) methods are one of the best
approaches to tackle the problem of enormous Hilbert space.
They have been highly successful for boson systems and
unfrustrated spin models. For systems with fermions, the
exchange symmetry in general causes the infamous sign
problem, making the statistical noise in the computed
results grow exponentially with the system size. This
hinders our understanding of interesting physics such as
high-temperature superconductivity, metal-insulator phase
transition. In this thesis, we present a variety of new
developments in the auxiliary-field quantum Monte Carlo
(AFQMC) methods, including the incorporation of symmetry in
both the trial wave function and the projector, developing
the constraint release method, using the force-bias to
drastically improve the efficiency in Metropolis framework,
identifying and solving the infinite variance problem, and
sampling Hartree-Fock-Bogoliubov wave function. With these
developments, some of the most challenging many-electron
problems are now under control. We obtain an exact numerical
solution of two-dimensional strongly interacting Fermi
atomic gas, determine the ground state properties of the 2D
Fermi gas with Rashba spin-orbit coupling, provide benchmark
results for the ground state of the two-dimensional Hubbard
model, and establish that the Hubbard model has a stripe
order in the underdoped region.<o:p></o:p></span></p>
<p class="MsoNormal"><span
style="font-size:12.0pt;font-family:"Times New
Roman",serif"><o:p> </o:p></span></p>
<p class="MsoNormal"><b><span
style="font-size:12.0pt;font-family:"Times New
Roman",serif;color:blue">Bio:</span></b><span
style="font-size:12.0pt;font-family:"Times New
Roman",serif;color:blue">
</span><span style="font-size:12.0pt;font-family:"Times
New Roman",serif">Hao Shi was born in Gugao, China, on
July 13, 1986. He is fascinated with science and math since
he was a kid. In 2008, he graduated with a Bachelor of
Science degree in Physics from Nanjing University in
Nanjing, China. In the same year, he joined Renming
University in Beijing, China to study computational physics.
He entered the College of William and Mary and joined Dr.
Shiwei Zhang’s computational condensed matter physics group
in Fall 2011. His research focuses on studying strongly
correlated systems by Auxiliary Field Quantum Monte Carlo
and other numerical methods. After graduation, he will work
as a postdoctoral fellow at Center for Computational Quantum
Physics in Flatiron Institute.<o:p></o:p></span></p>
<p class="MsoNormal"><span style="color:#1F497D"><o:p> </o:p></span></p>
<p class="MsoNormal"><span
style="font-size:12.0pt;font-family:"Times New
Roman",serif;color:black">Open to the public.<o:p></o:p></span></p>
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style="font-size:12.0pt;font-family:"Times New
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<p class="MsoNormal"><span
style="font-size:10.0pt;font-family:"Times New
Roman",serif;color:black">******<o:p></o:p></span></p>
<p class="MsoNormal"><b><span
style="font-size:12.0pt;font-family:"Monotype
Corsiva";color:#1F497D">Eleonor V. Wilkinson<o:p></o:p></span></b></p>
<p class="MsoNormal"><span
style="font-size:9.0pt;font-family:"Georgia",serif;color:black">Administrative
Coordinator<o:p></o:p></span></p>
<p class="MsoNormal"><span
style="font-size:9.0pt;font-family:"Georgia",serif;color:black">The
College of William & Mary-Physics<br>
Small Hall, Room 123<br>
300 Ukrop Way<br>
Williamsburg, VA 23185<o:p></o:p></span></p>
<p class="MsoNormal"><span
style="font-size:9.0pt;font-family:"Times New
Roman",serif;color:black">Telephone: 757-221-3503<o:p></o:p></span></p>
<p class="MsoNormal"><span
style="font-size:9.0pt;font-family:"Times New
Roman",serif;color:black">Fax: 757-221-3540<o:p></o:p></span></p>
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<p class="MsoNormal"><o:p> </o:p></p>
<p class="MsoNormal"><o:p> </o:p></p>
<p class="MsoNormal"><span
style="font-size:12.0pt;font-family:"Times New
Roman",serif;color:#2F20A0">Cheers,<o:p></o:p></span></p>
<p class="MsoNormal"><span
style="font-size:12.0pt;font-family:"Times New
Roman",serif;color:#2F20A0"><o:p> </o:p></span></p>
<p class="MsoNormal"><span
style="font-size:12.0pt;font-family:"Times New
Roman",serif;color:#2F20A0">Elle Wilkinson<o:p></o:p></span></p>
<p class="MsoNormal"><span
style="font-size:12.0pt;font-family:"Times New
Roman",serif;color:#2F20A0">The College of William
& Mary<o:p></o:p></span></p>
<p class="MsoNormal"><span
style="font-size:12.0pt;font-family:"Times New
Roman",serif;color:#2F20A0">Physics Admin/REU
Coordinator<o:p></o:p></span></p>
<p class="MsoNormal"><a moz-do-not-send="true"
href="mailto:evwilk@wm.edu"><span
style="font-size:12.0pt;font-family:"Times New
Roman",serif">evwilk@wm.edu</span></a><span
style="font-size:12.0pt;font-family:"Times New
Roman",serif;color:#2F20A0"><o:p></o:p></span></p>
<p class="MsoNormal"><span
style="font-size:12.0pt;font-family:"Times New
Roman",serif;color:#2F20A0">757-221-3503<o:p></o:p></span></p>
<p class="MsoNormal"><o:p> </o:p></p>
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