Exact Entanglement dynamics in Three Interacting Qubits

Motivated by recent experimental study on coherent dynamics transfer in three interacting atoms or electron spins \cite{Barredo:2015,Rosenfeld:2018}, here we study entanglement entropy transfer in three interacting qubits. We analytically calculate time evolutions of wave function, density matrix and entanglement of the system. We find that initially entangled two qubits may alternatively transfer their entanglement entropy to other two qubit pairs. So that dynamical evolution of three interacting qubits may produce a genuine three-partite entangled state through entanglement entropy transfers. In particular, different pairwise interactions of the three qubits endow symmetric and asymmetric evolutions of the entanglement transfer, characterized by the quantum mutual information and concurence. Finally, we discuss an experimental proposal of three Rydberg atoms for testing the entanglement dynamics transfer of this kind.Comment: 6 pages + 5 figure

Laboratory Evaluation of Unbound RAP as a Pavement Base Material

More than 50 million tons of asphalt pavements are milled every year in the United States (Taha 1999). The economical benefit attracts the recycling practice of utilizing RAP as paving materials. In unbound RAP material, aged asphalt wraps aggregates. It is believed that unbound RAP performs differently from usual unbound material due to the existence of asphalt wrap. In the present study, triaxial tests were conducted for the unbound RAP under different temperatures. In addition, limestone and gravel were tested in order to compare with RAP. The resilient modulus, triaxial static creep behavior and hysteresis loops were obtained to compare the differences between the unbound RAP, limestone and gravel. The specimens were prepared at optimum moisture content and equivalent compaction work. The laboratory results indicated the RAP characteristics change with different temperature. It was found that RAP requires more compaction work than limestone and gravel. According to AASHTO 307-99, higher resilient moduli were obtained in RAP than limestone and gravel. However, larger permanent deformation was observed in RAP. Specific design consideration should be added for utilizing RAP as base material. As part of my graduate research, finite element analysis was conducted for pile foundation over cavernous bedrock and for an Accelerated Loading Facility (ALF) in Louisiana Transportation Research Center (LTRC). The FE simulations were attached in Appendices

A novel nucleotide insertion in S gene of hepatitis B virus in a chronic carrier

Hepatitis B virus DNA was extracted from serum of a chronic carrier and polymerase chain reaction was performed on S gene. Direct sequencing showed a variant HBsAg with additional 4-amino acid insertion, and clone sequencing confirmed the mixture of variant HBsAg and wildtype HBsAg. Of 16 clones with 12-nucleotide insertion, 15 clones had identical AGAACAACACAA insertion between nucleotide 494 and nucleotide 495, and one clone had GGAACAACTCAA insertion in the same position plus 3-nucleotide deletion from nucleotide 491 to nucleotide 493. S114T, C121Y, T126S/A, Q129K, G130R, T131N, M133T, G145R, N146D substitution and premature stop codon were also found in those clones. However, the origin of HBV with 4-amino acid insertion in HBsAg was unclear