Quantum Information Approach to Rotating Bose-Einstein Condensate

We investigate the 2D weakly interacting Bose-Einstein condensate in a rotating trap by the tools of quantum information theory. The critical exponents of the ground state fidelity susceptibility and the correlation length of the system are obtained for the quantum phase transition when the frst vortex is formed. We also find the single-particle entanglement can be an indicator of the angular momentums for some real ground states. The single-particle entanglement of fractional quantum Hall states such as Laughlin state and Pfaffian state is also studied.Comment: 4 pages, 6 figures, minimal changes are mad

The lowest scattering state of one-dimensional Bose gas with attractive interactions

We investigate the lowest scattering state of one-dimensional Bose gas with attractive interactions trapped in a hard wall trap. By solving the Bethe ansatz equation numerically we determine the full energy spectrum and the exact wave function for different attractive interaction parameters. The resultant density distribution, momentum distribution, reduced one body density matrix and two body correlation show that the decreased attractive interaction induces rich density profiles and specific correlation properties in the weakly attractive Bose gas.Comment: 6 pages, 6figure

Research Progress of CD73 in Cancer

CD73 (NT5E, extracellular 5' nucleotidase) is a multifunctional glycoprotein encoded by the NT5E gene with a relative molecular weight of 70 kD that can be anchored to the outer surface of cell membranes by glycosyl phosphatidylinositol (GPI).CD73 expression levels are aberrant in breast, colorectal, head and neck squamous cell carcinomas, gastric and hepatocellular carcinomas. However, the possible role and mechanism of CD73 in gastric carcinogenesis and development has not been clarified. In this paper, we will review the multiple roles of CD73 in tumour development, including the clinical significance of CD73, the promotion of tumour growth, metastasis and angiogenesis by CD73, the suppression of immune response by CD73, the regulatory mechanisms of CD73 expression, and the current status of CD73 anti-tumour therapy, with a view to providing a reference for subsequent studies

Quantum Information Approach to Bose-Einstein Condensate in a Tilted Double-Well System

We study the ground state properties of bosons in a tilted double-well system. We use fidelity susceptibility to identify the possible ground state transitions under different tilt values. For a very small tilt (for example $10^{-10}$), two transitions are found. For a moderate tilt (for example $10^{-3}$), only one transition is found. For a large tilt (for example $10^{-1}$), no transition is found. We explain this by analyzing the spectrum of the ground state. The quantum discord and total correlation of the ground state under different tilts are also calculated to indicate those transitions. In the transition region, both quantities have peaks decaying exponentially with particle number $N$. This means for a finite-size system the transition region cannot be explained by the mean-field theory, but in the large-$N$ limit it can be.Comment: 5 pages, 5 figures, slightly different from the published versio

Quantum entanglement of particles on a ring with fractional statistics

In this paper we investigate the von Neumann entropy in the ground state of one-dimensional anyonic systems with the repulsive interaction. Based on the Bethe-ansatz method, the entanglement properties for the arbitrary statistical parameter ($0\leq\kappa\leq1$) are obtained from the one-particle reduced density matrix in the full interacting regime. It is shown that the entanglement entropy increases with the increase in the interaction strength and statistical parameter. The statistic parameter affects the entanglement properties from two aspects: renormalizing of the effective interaction strength and introducing an additional anyonic phase. We also evaluate the entanglement entropy of hard-core anyons for different statistical parameters in order to clarify solely the effect induced by the anyonic phase.Comment: 5 pages, 5 figure

Dynamics of an SEIR model with media coverage mediated nonlinear infectious force

Media coverage can greatly impact the spread of infectious diseases. Taking into consideration the impacts of media coverage, we propose an SEIR model with a media coverage mediated nonlinear infection force. For this novel disease model, we identify the basic reproduction number using the next generation matrix method and establish the global threshold results: If the basic reproduction number \mathcal{R}_{0} < 1 , then the disease-free equilibrium $P_{0}$ is stable, and the disease dies out. If \mathcal{R}_{0} > 1 , then the endemic equilibrium $P^{*}$ is stable, and the disease persists. Sensitivity analysis indicates that the basic reproduction number $\mathcal{R}_{0}$ is most sensitive to the population recruitment rate $\Lambda$ and the disease transmission rate $\beta _{1}$