\chapter{List of Publications}

\begin{enumerate}

\item 
{\bf{P. N. Ma}},
{\it{Numerical simulations of bosons and fermions in three dimensional optical lattices}},
Ph.D thesis, ETH Zurich (2013).

\item
{\bf{P. N. Ma}}, S. Pilati, M. Troyer, and X. Dai, 
{\it{Density functional theory for atomic Fermi gases}}, 
Nature Phys. {\bf{8}}, 601 (2012).

\item
B. Bauer, et al. (ALPS Collaboration),
{\it{The ALPS project release 2.0: open source software for strongly correlated systems}},
Jour. Stat. Mech: Theo. and Expt. {\bf{2011}}, P05001 (2011).

\item
S. Fang, C-M. Chung, {\bf{P. N. Ma}}, P. Chen, and D-W. Wang, 
{\it{Quantum criti- cality from in situ density imaging}}, 
Phys. Rev. A {\bf{83}}, 031605 (2011).

\item
{\bf{P. N. Ma}}, L. Pollet, and M. Troyer,
{\it{Measuring the equation of state of trapped ultracold bosonic systems in an optical lattice with in-situ density imaging}},
Phys. Rev. A {\bf{82}}, 033627 (2010).

\item
{\bf{P. N. Ma}},
{\it{Numerical exact simulations of actual-size bosonic optical lattice systems}},
M. Phil thesis, HKU (2009).

\item
{\bf{P. N. Ma}}, K. Y. Yang, L. Pollet, J. V. Porto, M. Troyer, and F. C. Zhang,
{\it{Influence of the trap shape on the detection of the superfluid-Mott-insulator transition}},
Phys. Rev A {\bf{78}}, 023605 (2008).

\item
{\bf{P. N. Ma}}, L. Pollet, M. Troyer, and F. C. Zhang,
{\it{A classical picture of the role of vacancies and interstitials in Helium-4}},
J. Low. Temp. Phys. {\bf{152}} 156-163 (2007).

\end{enumerate}