On holographic time-like entanglement entropy

In order to study the pseudo entropy of timelike subregions holographically, the previous smooth space-like extremal surface was recently generalized to mix space-like and time-like segments and the area becomes complex value. This paper finds that, if one tries to use such kind of piecewise smooth extremal surfaces to compute timelike entanglement entropy holographically, the complex area is not unique in general. We then generalize the original holographic proposal of spacelike entanglement entropy to pick up a unique area from all allowed ``space-like+time-like'' piecewise smooth extremal surfaces for a timelike subregion. We give some concrete examples to show the correctness of our proposal.Comment: 26 pages, 10 figure

Poly[hexa-μ-acetato-bis­(dimethyl sulfoxide)­trimanganese(II)]

In the title complex, [Mn3(CH3CO2)6(C2H6SO)2]n, the MnII ions exhibit similar MnO6 octa­hedral coordination geometries but with different coordination environments. One type of MnII ion is surrounded by five acetate groups and a terminal dimethyl sulfoxide group, while the other lies on a twofold axis and is coordinated by six O atoms from three symmetry-related acetate ions. The acetate anions exhibit three independent bridging modes, which flexibly bridge the MnII ions along the c-axis direction, forming an infinite chain structure; the chains are further inter­connected through weak C—H⋯O and C—H⋯S hydrogen-bonding inter­actions

A Solvable Model for Discrete Time Crystal Enforced by Nonsymmorphic Dynamical Symmetry

Discrete time crystal is a class of nonequilibrium quantum systems exhibiting subharmonic responses to external periodic driving. Here we propose a class of discrete time crystals enforced by nonsymmorphic dynamical symmetry. We start with a system with nonsymmorphic dynamical symmetry, in which the instantaneous eigenstates become M\"obius twisted, hence doubling the period of the instantaneous state. The exact solution of the time-dependent Schr\"odinger equation shows that the system spontaneously exhibits a period extension without undergoing quantum superposition states for a series of specifc evolution frequencies or in the limit of long evolution period. Moreover, in such case the system gains a {\pi} Berry phase after two periods' evolution. Finally, we show that the subharmonic response is stable even when many-body interactions are introduced, indicating a DTC phase in the thermodynamic limit.Comment: 5 pages, 4 figure

Probabilistic Characterization of 3-D Spatial Variability of Soils: Methodology and Strategy

The 3-D spatial variability of soils has significant impacts on the failure mechanism and reliability of geotechnical structures and deserves a quantitative characterization through site investigation. This study develops a probabilistic approach for characterizing the 3-D spatial variability of soils within the framework of maximum likelihood estimation, whose computational problem is addressed through a matrix decomposition technique. The sampling strategy to minimize the statistical uncertainty is explored systematically based on virtual site analysis. The empirical distance criterion and density criterion are proposed to control the statistical uncertainty to a practically acceptable low level.This work was supported by the National Key R&D Program of China (Project No. 2017YFC1501300), the National Natural Science Foundation of China (Project Nos. 51679174, and 51779189), and the Open Fund of Key Laboratory of Rock Mechanics in Hydraulic Structural Engineering, Ministry of Education of China (Project No. RMHSE1903). The financial support is gratefully acknowledged

Chlorido{N 2,N 6-dibenzyl-N 2,N 6-bis­[(diphenyl­phosphan­yl)meth­yl]pyridine-2,6-diamine}­methyl­platinum(II)

In the title mononuclear complex, [Pt(CH3)Cl(C45H41N3P2)], the pyridine-2,6-diamine ligand can be viewed as a centrosymmetric motif having two pendant N-benzyl-N-[(diphenyl­phosphan­yl)meth­yl] arms, the two P atoms of which chelate to the PtII ion, forming a ten-membered metallocycle. A distorted square-planar coordination geometry around the PtII atom is completed by a methyl ligand and a chloride ion. The packing between the mononuclear units is achieved through C—H⋯π inter­actions, which link the mol­ecules into chains along the c axis

Application of optic disc parameters and RNFL thickness by swept source optical coherence tomography in patients with PACG

AIM: To explore the application value of optic disc parameters and retinal nerve fiber layer(RNFL)thickness by swept source optical coherence tomography(SS-OCT)in the efficacy evaluation of primary angle-closure glaucoma(PACG). METHODS: Totally 60 PACG patients(68 eyes)who was treated with peripheral iridotomy and trabeculectomy was selected. According to the intraocular pressure during postoperative follow-up, all the patients were divided into controlled group(RESULTS: The intraocular pressure in both groups were significantly reduced after treatment, and the controlled group was significantly lower than that in uncontrolled group(PP>0.05), but it was obviously thinned in uncontrolled group compared with before treatment and control group(PPPr=0.415, -0.399; PCONCLUSION: SS-OCT can accurately reflect the change of optic disc parameters and RNFL thickness after intraocular pressure controlled in PACG patients. It has a certain clinical value in follow-up and efficacy evaluation for PACG

Mobile defects as mediated states for charge-carrier trapping in metal halide perovskites quantum dots

The migration motion of defects in metal halide perovskites quantum dots (MHPQDs) results in charge-carrier trapping become more complicated. We study two-step trapping mediated by mobile defects between the ground state of MHPQDs and a fixed-depth defect using a full-configuration defect method, where all possible trapping processes mediated by these mobile defects could be reproduced and the fastest channels among them are picked out. We find that these two-step trapping processes could keep more one order of magnitude faster than these direct ones as mobile defect with the appropriate localization strength, which implies that these indirect trapping should play the crucial rule to determine the non-radiative recombination losses. These results provide the significant explanation for studying non-radiation processes of carriers in the presence of the migration defects in recent experiments. Moreover, this model will be available to analyze some key performance related defects in electronic devices.Comment: 5 pages, 3 figure