Evidence for correlated states in a cluster of bosons with Rashba spin-orbit coupling

We study the ground state properties of spin-half bosons subjected to the Rashba spin-orbit coupling in two dimensions. Due to the enhancement of the low energy density of states, it is expected that the effect of interaction becomes more important. After reviewing several possible ideal condensed states, we carry out an exact diagonalization calculation for a cluster of the bosons in the presence of strong spin-orbit coupling on a two-dimensional disk and reveal strong correlations in its ground state. We derive a low-energy effective Hamiltonian to understand how states with strong correlations become energetically more favorable than the ideal condensed states.Comment: 23 pages, 6 figure

Effective theory and universal relations for Fermi gases near a dd-wave interaction resonance

In this work, we present an effective field theory to describe a two-component Fermi gas near a $d$-wave interaction resonance. The effective field theory is renormalizable by matching with the low energy $d$-wave scattering phase shift. Based on the effective field theory, we derive universal properties of the Fermi gas by the operator product expansion method. We find that beyond the contacts defined by adiabatic theorems, the asymptotic expressions of the momentum distribution and the Raman spectroscopy involve two extra contacts which provide additional information of correlations of the system. Our formalism sets the stage for further explorations of many-body effects in a $d$-wave resonant Fermi gas. Finally we generalise our effective field theory for interaction resonances of arbitrary higher partial waves.Comment: revised versio

Holographic Shear Viscosity in Hyperscaling Violating Theories without Translational Invariance

In this paper we investigate the ratio of shear viscosity to entropy density, $\eta/s$, in hyperscaling violating geometry with lattice structure. We show that the scaling relation with hyperscaling violation gives a strong constraint to the mass of graviton and usually leads to a power law of temperature, $\eta/s\sim T^\kappa$. We find the exponent $\kappa$ can be greater than two such that the new bound for viscosity raised in arXiv:1601.02757 is violated. Our above observation is testified by constructing specific solutions with UV completion in various holographic models. Finally, we compare the boundedness of $\kappa$ with the behavior of entanglement entropy and conjecture a relation between them.Comment: 38 pages, 8 figures: 1 appendix added, 2 figures added, 1 references adde

Open Museum：Make Art Accessible, make appreciators becoming creators, collectors and promoters

As a human activity that expresses emotional power, beauty, technical ability, or conceptual ideas, art has a long history and a large fan base. However, while people\u27s interest in art has never waned, it has rarely increased. The lack of interactivity of art in comparison to other information on the Internet is a significant disadvantage, and the recent reduction in museum visitors due to COVID-19 has also hampered the growth of the art industry. My thesis addresses these issues and attempts to create new opportunities for the growth of the art world by combining art appreciation, art collecting, and art re-creation. To solve the problem, I designed Open Museum, a web-based platform that lowers the barrier to art collecting in terms of both price and identification by using NFT technology and popularizes sculpture-based secondary creation by simplifying the node system that was already widely used in the 3D industry. The goal of Open Museum is to make art more accessible to a wider audience and to encourage more people to experience the joys of collecting and creating art. This project shows how Open Museum is progressing in various aspects, as well as how to achieve this goal