scholarly journals Phase diagram of ultracold atoms in optical lattices: Comparative study of slave fermion and slave boson approaches to Bose-Hubbard model

2005 ◽  
Vol 71 (3) ◽  
Author(s):  
Yue Yu ◽  
S. T. Chui
Keyword(s):  
Phase Diagram ◽  
Comparative Study ◽  
Hubbard Model ◽  
Ultracold Atoms ◽  
Optical Lattices

EFFECTS OF THE NEXT-NEAREST-NEIGHBOR HOPPING IN OPTICAL LATTICES

2008 ◽  
Vol 22 (01) ◽  
pp. 33-44 ◽  
Author(s):  
YUN'E GAO ◽  
FUXIANG HAN
Keyword(s):  
Phase Diagram ◽  
Hubbard Model ◽  
Ground State Energy ◽  
Ground State ◽  
Optical Lattices ◽  
State Energy ◽  
Nearest Neighbor ◽  
Three Dimensional ◽  
Dispersion Relations ◽  
Insulating Phase

Introducing the next-nearest-neighbor hopping t′ into the Bose–Hubbard model, we study its effects on the phase diagram, on the ground-state energy, and on the quasiparticle and quasihole dispersion relations of the Mott insulating phase in optical lattices. We have found that a negative value of t′ enlarges the Mott-insulating region on the phase diagram, while a positive value of t′ acts oppositely. We have also found that the effects of t′ are dependent on the dimensionality of optical lattices with its effects largest in three-dimensional optical lattices.

scholarly journals Phase diagram of the Bose-Hubbard Model

1994 ◽  
Vol 26 (7) ◽  
pp. 545-550 ◽  
Author(s):  
J. K Freericks ◽  
H Monien
Keyword(s):  
Phase Diagram ◽  
Hubbard Model

Phase diagram of an extended Hubbard model with correlated hopping at half filling

1995 ◽  
Vol 51 (19) ◽  
pp. 13774-13777 ◽  
Author(s):  
A. A. Aligia ◽  
Liliana Arrachea ◽  
E. R. Gagliano
Keyword(s):  
Phase Diagram ◽  
Hubbard Model ◽  
Extended Hubbard Model ◽  
Half Filling

scholarly journals Compact gravimeter with an ensemble of ultracold atoms in spin-dependent optical lattices

2018 ◽  
Vol 98 (5) ◽  
Author(s):  
Yongguan Ke ◽  
Jiahao Huang ◽  
Min Zhuang ◽  
Bo Lu ◽  
Chaohong Lee
Keyword(s):  
Ultracold Atoms ◽  
Optical Lattices

scholarly journals Phase diagram of the two-chain Hubbard model

1999 ◽  
Vol 59 (4) ◽  
pp. 2587-2590 ◽  
Author(s):  
Youngho Park ◽  
Shoudan Liang ◽  
T. K. Lee
Keyword(s):  
Phase Diagram ◽  
Hubbard Model

T = 0 phase diagram of the 1D Hubbard model with magnetic interactions in the narrow band limit

Open Physics ◽  
2012 ◽  
Vol 10 (3) ◽  
Author(s):  
Ferdinando Mancini ◽  
Evgeny Plekhanov ◽  
Gerardo Sica
Keyword(s):  
Phase Diagram ◽  
Hubbard Model ◽  
Narrow Band ◽  
Operator Method ◽  
Magnetic Interactions ◽  
Exchange Constant ◽  
Local Charge ◽  
Spin Interactions ◽  
Charge Interaction ◽  
Composite Operator Method

AbstractIn this paper we study a generalization of the Hubbard model by considering spin-spin interactions described by the exchange constant J. An external magnetic field his also taken into account. In the narrowband limit and for the 1D case, we present the exact solution obtained in the framework of the Green’s function formalism, using the Composite Operator Method. We report the T = 0 phase diagram for both ferro (J > 0) and anti-ferro (J < 0) couplings. The competition of the different energy scales (U, J, and h; being U the local charge interaction) generates a variety of phases and different charge and spin orderings.

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