Erratum: Dynamics of the Bounds of Squared Concurrence [Phys. Rev. A 79, 032306 (2009)]

This is an erratum to our paper.Comment: a little different from the published versio

The Dynamics of the Bounds of Squared Concurrence

We study the dynamics of upper and lower bounds of squared concurrence.Our results are similar to that of Konard et al. and can help the estimation of high-dimension bipartite entanglement in experiments.Comment: 5 pages, 2 figures accepted by PR

From ODLRO to the Meissner Effect and Flux Quantization

It has been shown that the electron system with ODLRO in the reduced density matrix $\rho _2$ can not support a uniform magnetic field, i.e., ODLRO\ in $\rho _2$ implies the Meissner effect \cite{2}\cite{3}, furthermore, the magnetic field trapped in the system is quantized\cite{3}. This note extends above results in two cases. We show that (1) the system with ODLRO in $\rho _2$ can not support a non uniform, cylindrically symmetric magnetic field; (2) the system with ODLRO in $\rho _2$ can not support a magnetic field slowly varying in space, and the magnetic flux trapped in it is quantized.Comment: Latex file, 10 page

Tunable Band Topology Reflected by Fractional Quantum Hall States in Two-Dimensional Lattices

Two-dimensional lattice models subjected to an external effective magnetic field can form nontrivial band topologies characterized by nonzero integer band Chern numbers. In this Letter, we investigate such a lattice model originating from the Hofstadter model and demonstrate that the band topology transitions can be realized by simply introducing tunable longer-range hopping. The rich phase diagram of band Chern numbers is obtained for the simple rational flux density and a classification of phases is presented. In the presence of interactions, the existence of fractional quantum Hall states in both |C|=1 and |C|>1 bands is confirmed, which can reflect the band topologies in different phases. In contrast, when our model reduces to a one-dimensional lattice, the ground states are crucially different from fractional quantum Hall states. Our results may provide insights into the study of new fractional quantum Hall states and experimental realizations of various topological phases in optical lattices.Comment: published version (6 pages, 6 figures, including a supplemental material

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

Stochastic Growth with the Social-Status Concern: The Existence of a Unique Stable Distribution

This paper extends Kurz¡¯s (1968) growth model to a stochastic growth framework with the social-status concern and production shocks. Using the stochastic monotonicity of stochastic dynamic system and methods using in Zhang (2007), the existence and stability of invariant distribution has been investigated. Different from the existence of multiple steady states under certainty, it is shown that there exists a unique stable invariant distribution under uncertainty.Stochastic growth, the Spirit of capitalism, Stochastic dominance, Multiple equilibria