Excitation Spectrum and Momentum Distribution of Bose-Hubbard Model with On-site Two-and Three-Body Interaction

An effective action for Bose-Hubbard model with two-and three-body on-site interaction in a square optical lattice is derived in the frame of a strong-coupling approach developed by Sengupta and Dupuis.From this effective action,superfluid-Mott insulator(MI) phase transition,excitation spectrum and momentum distribution for two phases are calculated by taking into account Gaussian fluctuation about the saddle-point approximation.In addition the effects of three-body interaction are also discussed.

Interaction between geological body and structural body in a three-body model

A three-body model composed of two geological bodies and a structural body was developed to explore how ground-support systems respond to axial loads in underground spaces. A detailed method was designed to fabricate physical scale-model specimens for testing. Three types of specimens were constructed to investigate how three different materials reacted to each other under load. The three types of specimens were called the weak-rock model, hard-rock model and mixed model. The results of uniaxial compression tests show that the mechanical behaviour of a three-body structural support is closely related to the interaction between the three bodies, but owing to different mechanisms, the three types of material behave very differently. To explain the test results, numerical simulations were conducted to explore fully the load responses of the three-body model specimens. The numerical simulations verify the hypotheses proposed for how the three types of material interact.

Effects of effective attractive multi-body interaction on quantum phase and transport dynamics of a strongly correlated bosonic gas across the superfluid to Mott insulator transition

We theoretically investigate quantum phases and transport dynamics of ultracold atoms trapped in an optical lattice in the presence of effective multi-body interaction. When a harmonic external potential is added, several interesting phenom- ena are revealed, such as the broadening and the emergence of a central insulator plateau and the phase transition between superftuid and Mott insulator phase. We also study the transport of the system which runs across the superfluid-insulator transition after ramping up the lattice, and predict a slower relaxation which is attributed to the influence of the multi-body interaction on the mass transport.

The structure of neutron-rich calcium isotopes studied by the shell model with realistic effective interactions

We study the structure of neutron-rich calcium isotopes in the shell model with realistic interactions.The CD-Bonn and Kuo-Brown(KB)interactions are used.As these interactions do not include the three-body force,their direct use leads to poor results.We tested whether the adjustment of the single particle energies(SPEs)would be sufficient to include the three-body correlations empirically.It turns out that the CD-Bonn interaction,after the adjustment of SPEs,gives good agreement with the experimental data for the energies and spectroscopy.For the KB interaction,both the SPEs and monopole terms require adjustments.Thus,the monopole problem is less serious for mod?ern realistic interactions which include perturbations up to the third order.We also tested the effect of the non-central force on the shell structure.It is found that the effect of the tensor force in the CD-Bonn interaction is weaker than in the KB interaction.

Many-body correlations in shell model effective interactions derived by ab initio methods and the V_(low-k) approach

We investigate many-body correlations caused by two- and three-body （2-, 3bd） forces. Shell-model effective interactions derived from ab initio methods （coupled-cluster method, no-core shell model） are adopted. Vlow-k potentials, based on many-body perturbation theory, are also tested, especially for their cut-off dependence. We compare the central, tensor and spin-orbit interactions from microscopic theory to the fitted interactions. After the inclusion of the three-body force, the matrix elements become fairly close to those fitted directly to experimental data. Calculations of neutron-rich oxygen isotopes are performed, to clarify the effects of 3bd forces, tensor, and spin-orbit interactions on the nuclear binding and excitation energies. We find that the 3bd force can influence the binding energies greatly, which also determines the drip line position, while its effect on excitation energies is not very pronounced. The spin-orbit force, which is part of the 2bd force, can affect the shell structure explicitly, at least for neutron-rich systems.

Mott-Hubbard transition of bosons in optical lattices with two-body interactions

In this paper, based on the Bose-Hubbard model with two-body on-site interactions, we study the quantum phase transition between the superfluid state and the Mott-insulator state. With the decoupling approximation, we get the relation between the weak superfluidity and dimensionless chemical potential with different particle number and different dimensionless interaction strength, and the relation between the weak superfluidity and the reciprocal of dimensionless interaction strength with different particle number. We also calculate the corresponding experimental parameters.