Power Structure and Its Stability in North-East Asia

Its my pleasure to share viewpoints on the peace of North-East Asia with you here. But first, I would like to say thanks to the organizer for arranging the talk for me. The peace of northeast Asia, in my opinion, is decided and will be decided by the stability of Sino-America relationship, this is the center of this issue, while cross Taiwan straits relationship and North Korea nuclear issue are the two emphases, which are high relevant to the Sino-America relation and need both sides to treat strategically. As for the relationship between China and the United States, the most important aspect should be the rapid growth of Chinese economy since its opening-up and reform, which is labeled the rising of china. Its apparent that the high GDP growth rates have caused fear in Western world since middle of 1990s, and this should be the reason why china threat theory has been rampant since then before the real threat is coming. But what I will say here today, maybe contrary to most of you here, is that even though the rising of china is leading to some kind of power restructure in Northeast Asia, the regional order still has the high opportunity to keep stability and the peace in this region still can be hoped in the near and middle future.North-East Asia, Power Structure, Stability, China, The United States

Beyond Fermi pseudopotential: a modified GP equation

We present an effective potential and the corresponding modified Gross-Pitaevskii equation that account for the energy dependence of the two-body scattering amplitude through an effective-range expansion. For the ground state energy of a trapped condensate, the theory leads to what we call a shape-dependent confinement correction that improves agreements with diffusion Monte Carlo calculations. The theory illustrates, for relatively strong confinement and/or high density, how the shape dependence on atom-atom interaction can come into play in a many-atom quantum system.Comment: 8 pages, 5 figure

Quantum Criticality of one-dimensional multicomponent Fermi Gas with Strongly Attractive Interaction

Quantum criticality of strongly attractive Fermi gas with $SU(3)$ symmetry in one dimension is studied via the thermodynamic Bethe ansatz (TBA) equations.The phase transitions driven by the chemical potential $\mu$, effective magnetic field $H_1$, $H_2$ (chemical potential biases) are analyzed at the quantum criticality. The phase diagram and critical fields are analytically determined by the thermodynamic Bethe ansatz equations in zero temperature limit. High accurate equations of state, scaling functions are also obtained analytically for the strong interacting gases. The dynamic exponent $z=2$ and correlation length exponent $\nu=1/2$ read off the universal scaling form. It turns out that the quantum criticality of the three-component gases involves a sudden change of density of states of one cluster state, two or three cluster states. In general, this method can be adapted to deal with the quantum criticality of multi-component Fermi gases with $SU(N)$ symmetry.Comment: 20 pages, 5 figures, submitted to J.Phys.A, revised versio