[105.] F. Hebert, G.G. Batrouni
R.T. Scalettar G. Schmid, M. Troyer and A. Dorneich,
``Quantum phase transitions in the twodimensional hardcore boson
model,''
Phys. Rev. B65, 014513 (2002)


[115.] G.G. Batrouni, V. Rousseau,
R.T. Scalettar, M. Rigol, A. Muramatsu,
and P.J.H. Denteneer,
``Mott Domains of Bosons Confined on Optical Lattices,''
Phys. Rev. Lett. 89, 117203 (2002).


[123.] M. Rigol, A. Muramatsu,
G.G. Batrouni, V. Rousseau,
R.T. Scalettar, P.J.H. Denteneer, and M. Troyer,
"Mott Domains of bosons and fermions confined in optical lattices,''
Course in the Physics of Correlated Electron Systems and HighTc
Superconductors,
Vietri sul Mare (Salerno), Italy, 14  25 October 2002.

[127.] M. Rigol, A. Muramatsu, G.G. Batrouni, and R.T. Scalettar,
"Local quantum criticality in confined fermions on optical lattices,''
Phys. Rev. Lett. 91, 130403 (2003).


[132.] V. Rousseau, G. G. Batrouni, and R.T. Scalettar,
"Phase separation in the bosonic Hubbard model with ring
exchange,"
Phys. Rev. Lett. 93, 110404 (2004).


[137.] M. Rigol, A. Muramatsu, G.G. Batrouni, and R.T. Scalettar,
"Local Mott metalinsulator transition in confined fermions on optical
lattices,"
AIP Conf. Proc. 715, 225234 (2004).

[139.] F. Hebert, G.G. Batrouni, and R. T. Scalettar,
"Solitons in Trapped BoseEinstein condensates in onedimensional
optical lattices,"
Phys. Rev. A71, 063609 (2005).


[140.] R. T. Scalettar, G. Batrouni, P. Denteneer, F. H\'ebert, A.
Muramatsu,
M. Rigol, V. Rousseau, and M. Troyer,
"Equilibrium and Dynamical Properties of the Boson Hubbard
Model in One Dimension,"
J. Low Temp. Phys. 140, 315 (2005).

[141.] M. Rigol, S. R. Manmana, A. Muramatsu,
R. T. Scalettar, R. R. P. Singh, and S. Wessel,
"Comment on `Novel Superfluidity in a Trapped Gas of Fermi Atoms
with Repulsive Interaction
Loaded on an Optical Lattice'",
Phys. Rev. Lett. 95, 218901 (2005).


[143.] G.G. Batrouni, F.F. Assaad, R.T. Scalettar, P.J.H. Denteneer,
"Dynamic response of trapped ultracold bosons on optical
lattices,"
Phys. Rev. A72, R031601 (2005).


[144.] M. Rigol, V. Rousseau, R. T. Scalettar, and R. R. P. Singh,
"Collective Oscillations of Strongly Correlated 1D Bosons on a
Lattice,"
Phys. Rev. Lett. 95, 110402 (2005).


[150.] M. Rigol, V. Rousseau, R.T. Scalettar, and R.R.P. Singh,
"Dipolar Oscillations of Strongly Correlated Bosons
on a OneDimensional Lattice,"
Proceedings of the 24th International
Conference on Low Temperature Physics,
Orlando, Florida, USA, August,
2005.

[152.] P. Sengupta, M. Rigol, G. G. Batrouni, P. J. H. Denteneer, and
R. T. Scalettar,
"Phase coherence, visibility, and the superfluidMottinsulator
transition on onedimensional optical lattices,"
Phys. Rev. Lett. 95, 220402 (2005).


[154.] M. Rigol, R. T. Scalettar, G. G. Batrouni, and P. Sengupta,
"Time of flight experiments and the formation of
Mott domains of fermions and bosons on optical lattices,"
Phys. Rev. B73, 121103(R) (2006).


[155.] M. Rigol, A. Muramatsu, G. G. Batrouni, V. Rousseau, R. T.
Scalettar, P. J. H.
Denteneer, and M. Troyer,
"Mott domains of bosons and fermions confined in
optical lattices,"
AIP Conf. Proc. 678, 283 (2003).

[159.] V.G. Rousseau, M. Rigol, F. Hebert,
D.P. Arovas, G.G. Batrouni, and R.T. Scalettar,
"Exact Study of the 1D Boson
Hubbard Model with a Superlattice Potential,"
Phys. Rev. B73, 174516 (2006).


[165.] R.T. Scalettar, M.
Rigol, V.G. Rousseau, P. Sengupta, G.G. Batrouni, F. Hebert, P.J.H.
Denteneer,
A. Muramatsu, and M. Troyer,
"Phase Diagram and Visibility of Optically Trapped Bosons,"
AIP Conf. Proc. 816, 232 (2006).

[174.] G.G. Batrouni, M.H. Huntley, V.G. Rousseau and
R.T. Scalettar,
"Exact Numerical Study of Pair Formation with Imbalanced Fermion
Populations,"
Phys. Rev. Lett. 100, 116405 (2008).


[176.] V.G. Rousseau, A. Baldwin, A. Zujev, P.J.H. Denteneer,
M. Rigol, and R.T. Scalettar,
Superfluid and Mott Insulator Phases of one dimensional BoseFermi
Mixtures,
Phys. Rev. A78, 033619 (2008).


[177.] C.N. Varney, V. Rousseau, and R.T. Scalettar,
"Quantum Monte Carlo study of the visibility of onedimensional
BoseFermi mixtures,"
Phys. Rev. A77, 041608 (2008).


[179.] G.G. Batrouni, H.R. Krishnamurthy,
K.W. Mahmud, V.G. Rousseau, and R.T. Scalettar,
"Canonical Trajectories and Critical Coupling of the
BoseHubbard Hamiltonian in a Harmonic Trap,"
Phys. Rev. A78 023627 (2008).


[184.]
G.G. Batrouni, V.G. Rousseau, and R.T. Scalettar,
"Magnetic and Superfluid Transitions in the
d=1 Spin1 Boson Hubbard Model,"
Phys. Rev. Lett. 102, 140402 (2009).


[185.]
Marcos Rigol, George G. Batrouni, Valery G.~Rousseau,
and Richard T. Scalettar,
"Universal state diagrams for harmonically trapped bosons in
optical lattices,"
Phys. Rev. A79, 053605 (2009).


[189.]
T. Paiva, R.T. Scalettar, M. Randeria, and N. Trivedi,
"Fermions in 2D Optical Lattices: Constraints on entropy for
observing antiferromagnetism and superfluidity,"
submitted to Phys. Rev. Lett.

[187.]
C.N. Varney, C.R.~Lee, Z.J. Bai, S. Chiesa, M. Jarrell, and R. T.
Scalettar,
"High Precision Quantum Monte Carlo Study of the 2D Fermion Hubbard
Model at HalfFilling",
Phys. Rev. B80, 075116 (2009).

