Structure of continuous matrix product operator for transverse field Ising model:An analytic and numerical study

We study the structure of the continuous matrix product operator(cMPO)^([1]) for the transverse field Ising model(TFIM).We prove TFIM’s cMPO is solvable and has the form T=e^(-1/2H_(F)).H_(F) is a non-local free fermionic Hamiltonian on a ring with circumferenceβ,whose ground state is gapped and non-degenerate even at the critical point.The full spectrum of H_(F) is determined analytically.At the critical point,our results verify the state–operator-correspondence^([2]) in the conformal field theory(CFT).We also design a numerical algorithm based on Bloch state ansatz to calculate the lowlying excited states of general(Hermitian)cMPO.Our numerical calculations coincide with the analytic results of TFIM.In the end,we give a short discussion about the entanglement entropy of cMPO’s ground state.

Alumina Carbon Refractory Products for Continuous Casting

1 Scope ：This standard specifies the classification, technical requirements, test methods, inspection rules, packing, marking, transportation, storage and quality certificate of alumina carbon refractory products for continuous casting.

Continuous preparation of strong and tough PVA nanocomposite fibers by mechanical stretching-assisted salting-out treatment

Polymer composite fibers with superior properties such as excellent combined strength and toughness and biocompatibility can be used in high-tech applications of braided protective devices and smart wearable,however the research of high-performance polymer composite fiber remains in the infant stage.Here we present a strategy to produce strong and tough anisotropic polymer nanocomposite fibers with orientedly aligned salt rods using mechanical stretching-assisted salting-out treatment.The prepared nanocomposite fibers have a tensile strength of up to 786±2.7 MPa and an elongation at break of 81%,and the anisotropic fibers exhibit good transmission of mechanical vibration in the longitudinal direction with high resolution.During the fabrication process,the salt builds up into oriented rods during the directional salting process,and the polymer is confined to the 150 nm domain between the rods after the solvent is completely evaporated,giving the nanocomposite fibers superior mechanical properties.The presented strategy can be applied to the continuous mass production of nanocomposite fibers and is also generalizable to other polymer nanocomposites,which could extend the applicability of nanocomposite fibers to conditions involving more demanding mechanical loading and mechanical vibration transmission.

Assessment and prediction of tablet properties using transmission and backscattering Raman spectroscopy and transmission NIR spectroscopy

This study investigated whether Raman and Near Infrared(NIR) spectroscopy could predict tablet properties. Granules were produced on a continuous line by varying granulation parameters. Tableting process parameters were adjusted to obtain uniform tablet weight and thickness. Spectra were collected offline and tablet properties determined with traditional analyzing methods. Partial Least Squares(PLS) regression was used to correlate spectral information to tablet properties, but predictive models couldn’t be established. Principal component analysis(PCA) was effectively used to distinguish theophylline concentrations and hydration levels and multiple linear regression(MLR) analysis allowed insight on how granulation parameters affect granule and tablet properties.

Consumption of Three Main Products Continues Upward Climb

China’s retail sales maintain fast growth since Apr., thanks to the nation’s consumption-boosting policies. From January to August, the total industrial production value of statistics-worthy Chinese textile enterprises edged up 11.67 percent year-on-year.

Consumption of Three Main Products Continues Upward Climb

China’s retail sales maintain fast growth since Apr., thanks to the nation’s consumption-boosting policies. From January to August, the total industrial production value of statistics-worthy Chinese textile enterprises edged up 11.67 percent year-on-year.