Motivated by the wise idea of entanglement witness （EW）, we present an inequivalent entanglement witness （IEEW） that can analogously classify certain eigenstates entangled in inequivalent ways under stochastic loc...Motivated by the wise idea of entanglement witness （EW）, we present an inequivalent entanglement witness （IEEW） that can analogously classify certain eigenstates entangled in inequivalent ways under stochastic local operations and classical communication （SLOCC） in the Heisenberg spin chain. Since the IEEW is the absolute value of magnetization （M） that is a macroscopically measurable quantity, our conclusions provide a macroscopic method to detect inequivalent entanglement between microscopic spins, on the one hand, and clearly show that inequivalent entanglement can yield different macroscopic effects, on the other hand.展开更多
In this study,the inequivalent substitution of Ca^(2+)by Li^(+)in the Ca_(3)Co_(2)SiV_(2)O_(12)compound was designed to modulate its sintering characteristics and microwave dielectric properties.The corresponding Ca_(...In this study,the inequivalent substitution of Ca^(2+)by Li^(+)in the Ca_(3)Co_(2)SiV_(2)O_(12)compound was designed to modulate its sintering characteristics and microwave dielectric properties.The corresponding Ca_(3-x)Li_(2x)Co_(2)SiV_(2)O_(12)(CCSV-xLi,0.01≤x≤0.07)ceramics were prepared via the conventional solid-state phase method,which could be densely sintered at a temperature below 1140℃.Rietveld refinement results suggested that all the doped Li occupied the Ca-site as x≤0.05 while superfluous Li positioned at the Co-site of CCSV when x≤0.07.This atomic occupancy had a remarkable effect on the degree of“rattling effect”and thus modulated the relative permittivity of ceramics,constantly increasing at x=0.01-0.05 and slightly decreasing at x=0.07.Raman spectra revealed that Q×f value was closely related to Raman shift and FWHM.Also,the Q×f value was partly influenced by oxygen vacancy concentration.The t_(f)demonstrated an opposite tendency to the bond valence of the A-site and was affected by the“rattling effect”.The CCSV-0.05Li ceramic sintered at 1120℃possessed excellent microwave dielectric properties:εr=12.17,Q×f=56,220 GHz,and t_(f)=-8.5×10^(-6)℃^(-1).展开更多
The frequency dependence of the in-plane angular change of the antiferromagnetic resonance （AFMR） field of KCuF3 is systematically measured at frequencies ranging from 3.8 to 10.6 GHz at 4.2K. The effect of inequiva...The frequency dependence of the in-plane angular change of the antiferromagnetic resonance （AFMR） field of KCuF3 is systematically measured at frequencies ranging from 3.8 to 10.6 GHz at 4.2K. The effect of inequivalent g-tensors is found to gradually diminish with decreasing the frequency, and completely vanish when the frequency is decreased to the lower-frequency branch of C-band, while the effect of the effective anisotropy field is significantly enhanced with decreasing the frequency. The calculated AFMR field Hres based on the eight-sublattice model proposed by Yamada and Kato [J. Phys. Soc. Jpn. 63 （1994）289] is in good agreement with the experimental data.展开更多
C SiC, 4H SiC and 6H SiC are the three kinds of silicon carbide (SiC) applied most extensively in semiconductor device fabrications. This work is engaged in analyzing their photoluminescence (PL) spectra and then s...C SiC, 4H SiC and 6H SiC are the three kinds of silicon carbide (SiC) applied most extensively in semiconductor device fabrications. This work is engaged in analyzing their photoluminescence (PL) spectra and then summarizing the characteristics of the spectra. Special attention was paid to the inequiva lent sites existing in SiC and their effects on the PL spectra of SiC.展开更多
Six ethylene-propylene copolymer samples with different structural parameters were analyzed by ^1H NMR,^13C NMR and ^1H-^13C COSY in this paper.With the aid of the ^1H-^13C COSY spectra of ethylene-propylene copolymer...Six ethylene-propylene copolymer samples with different structural parameters were analyzed by ^1H NMR,^13C NMR and ^1H-^13C COSY in this paper.With the aid of the ^1H-^13C COSY spectra of ethylene-propylene copolymer,the chemical inequivalence behavior of the protons attached to the same carbon in the ethylene-propylene copolymer could be observed. Four basic types of chemical bonds were divided,and two kinds of main conformations were proposed to explain this phenomenon. Based on the calculation of conformation distribution,it can be proved that the explanation of this phenomenon was reasonable.展开更多
In this paper, we show that every infinite dimensional Banach space admits a homogenous measure of non-compactness not equivalent to the Hausdorff measure. Therefore, it resolves a long-standing question.
基金Project supported by the National Natural Science Foundation of China (Grant No 10404039)the Foundation for the Author of National Excellent Doctoral Dissertation of China (Grant No 200524)Program for New Century Excellent Talents (NCET) of China (Grant No NCET-06-0920)
文摘Motivated by the wise idea of entanglement witness （EW）, we present an inequivalent entanglement witness （IEEW） that can analogously classify certain eigenstates entangled in inequivalent ways under stochastic local operations and classical communication （SLOCC） in the Heisenberg spin chain. Since the IEEW is the absolute value of magnetization （M） that is a macroscopically measurable quantity, our conclusions provide a macroscopic method to detect inequivalent entanglement between microscopic spins, on the one hand, and clearly show that inequivalent entanglement can yield different macroscopic effects, on the other hand.
基金the National Undergraduate Innovation and Entrepreneurship Training Program(202310360017 and 202410360018)。
文摘In this study,the inequivalent substitution of Ca^(2+)by Li^(+)in the Ca_(3)Co_(2)SiV_(2)O_(12)compound was designed to modulate its sintering characteristics and microwave dielectric properties.The corresponding Ca_(3-x)Li_(2x)Co_(2)SiV_(2)O_(12)(CCSV-xLi,0.01≤x≤0.07)ceramics were prepared via the conventional solid-state phase method,which could be densely sintered at a temperature below 1140℃.Rietveld refinement results suggested that all the doped Li occupied the Ca-site as x≤0.05 while superfluous Li positioned at the Co-site of CCSV when x≤0.07.This atomic occupancy had a remarkable effect on the degree of“rattling effect”and thus modulated the relative permittivity of ceramics,constantly increasing at x=0.01-0.05 and slightly decreasing at x=0.07.Raman spectra revealed that Q×f value was closely related to Raman shift and FWHM.Also,the Q×f value was partly influenced by oxygen vacancy concentration.The t_(f)demonstrated an opposite tendency to the bond valence of the A-site and was affected by the“rattling effect”.The CCSV-0.05Li ceramic sintered at 1120℃possessed excellent microwave dielectric properties:εr=12.17,Q×f=56,220 GHz,and t_(f)=-8.5×10^(-6)℃^(-1).
文摘The frequency dependence of the in-plane angular change of the antiferromagnetic resonance （AFMR） field of KCuF3 is systematically measured at frequencies ranging from 3.8 to 10.6 GHz at 4.2K. The effect of inequivalent g-tensors is found to gradually diminish with decreasing the frequency, and completely vanish when the frequency is decreased to the lower-frequency branch of C-band, while the effect of the effective anisotropy field is significantly enhanced with decreasing the frequency. The calculated AFMR field Hres based on the eight-sublattice model proposed by Yamada and Kato [J. Phys. Soc. Jpn. 63 （1994）289] is in good agreement with the experimental data.
文摘C SiC, 4H SiC and 6H SiC are the three kinds of silicon carbide (SiC) applied most extensively in semiconductor device fabrications. This work is engaged in analyzing their photoluminescence (PL) spectra and then summarizing the characteristics of the spectra. Special attention was paid to the inequiva lent sites existing in SiC and their effects on the PL spectra of SiC.
文摘Six ethylene-propylene copolymer samples with different structural parameters were analyzed by ^1H NMR,^13C NMR and ^1H-^13C COSY in this paper.With the aid of the ^1H-^13C COSY spectra of ethylene-propylene copolymer,the chemical inequivalence behavior of the protons attached to the same carbon in the ethylene-propylene copolymer could be observed. Four basic types of chemical bonds were divided,and two kinds of main conformations were proposed to explain this phenomenon. Based on the calculation of conformation distribution,it can be proved that the explanation of this phenomenon was reasonable.
基金supported by National Natural Science Foundation of China (Grant Nos. 11731010,11471271 and 11471270)
文摘In this paper, we show that every infinite dimensional Banach space admits a homogenous measure of non-compactness not equivalent to the Hausdorff measure. Therefore, it resolves a long-standing question.
