Repeated local measurements of quantum many-body systems can induce a phase transition in their entanglement structure. These measurement-induced phase transitions (MIPTs) have been studied for ...various types of dynamics, yet most cases yield quantitatively similar critical exponents, making it unclear how many distinct universality classes are present. Here, we probe the properties of the conformal field theories governing these MIPTs using a numerical transfer-matrix method, which allows us to extract the effective central charge, as well as the first few low-lying scaling dimensions of operators at these critical points for (1+1)-dimensional systems. Our results provide convincing evidence that the generic and Clifford MIPTs for qubits lie in different universality classes and that both are distinct from the percolation transition for qudits in the limit of large on-site Hilbert space dimension. For the generic case, we find strong evidence of multifractal scaling of correlation functions at the critical point, reflected in a continuous spectrum of scaling dimensions.
In the present update on mucoadhesive ocular dosage forms, the tremendous advances in the biochemistry of mucins, the development of new polymers, the use of drug complexes and other technological ...advances are discussed. This review focusses on recent literature regarding mucoadhesive liquid (viscous solutions, particulate systems), semi-solid (hydrogel, in situ gelling system) and solid dosage forms, with special attention to in vivo studies. Gel-forming minitablets and inserts made of thiomers show an interesting potential for future applications in the treatment of ocular diseases.
Abstract Deep Neural Networks (DNN) are nothing but neural networks with many hidden layers. DNNs are becoming popular in automatic speech recognition tasks which combines a good acoustic with a ...language model. Standard feedforward neural networks cannot handle speech data well since they do not have a way to feed information from a later layer back to an earlier layer. Thus, Recurrent Neural Networks (RNNs) have been introduced to take temporal dependencies into account. However, the shortcoming of RNNs is that long-term dependencies due to the vanishing/exploding gradient problem cannot be handled. Therefore, Long Short-Term Memory (LSTM) networks were introduced, which are a special case of RNNs, that takes long-term dependencies in a speech in addition to short-term dependencies into account. Similarily, GRU (Gated Recurrent Unit) networks are an improvement of LSTM networks also taking long-term dependencies into consideration. Thus, in this paper, we evaluate RNN, LSTM, and GRU to compare their performances on a reduced TED-LIUM speech data set. The results show that LSTM achieves the best word error rates, however, the GRU optimization is faster while achieving word error rates close to LSTM.
Short, intense laser pulses can be used to access the transition regime between classical and quantum optical responses in dielectrics. In this regime, the relative roles of inter- and intraband ...light-driven electronic transitions remain uncertain. We applied attosecond transient absorption spectroscopy to investigate the interaction between polycrystalline diamond and a few-femtosecond infrared pulse with intensity below the critical intensity of optical breakdown. Ab initio time-dependent density functional theory calculations, in tandem with a two-band parabolic model, accounted for the experimental results in the framework of the dynamical Franz-Keldysh effect and identified infrared induction of intraband currents as the main physical mechanism responsible for the observations.
Advances in genomics, proteomics and molecular pathology have generated many candidate biomarkers with potential clinical value. Their use for cancer staging and personalization of therapy at the ...time of diagnosis could improve patient care. However, translation from bench to bedside outside of the research setting has proved more difficult than might have been expected. Understanding how and when biomarkers can be integrated into clinical care is crucial if we want to translate the promise into reality.
• Details of a multiphase model incorporating both macrosegregation and shrinkage cavity.• In-depth analysis of macrosegregation mechanisms.• New hypothesis of A-segregates in large steel ingots.• ...Experimental validation.
A four-phase mixed columnar–equiaxed solidification model is introduced to calculate the formation of macrosegregation and shrinkage cavity during solidification of steel ingot. The four phases are the liquid melt, the solidifying solid with columnar morphology, the solidifying solid with equiaxed morphology, and the gas phase (or covering liquid slag). Multiphase/multiphysics transport phenomena (mass, momentum, species and enthalpy) are solved with a volume-average approach. Solidification induced mass and species transfers among metal phases are considered according to the thermodynamics and diffusion-governed crystal growth kinetics. The gas phase (or covering liquid slag) is only required to feed the shrinkage cavity and no mass/species exchange with other metal phases occurs. The following modeling results are obtained: the progress of columnar tip front and growth of columnar tree trunks, the nucleation and growth of equiaxed grains, the melt flow and equiaxed crystal sedimentation, the solute partitioning at the solid/liquid interface, the transport of the solute species and induced macrosegregation, the shrinkage cavity, the interaction or competition between growing columnar and equiaxed phases and the occurrence of columnar to equiaxed transition (CET). Those modeling capacities were verified by the calculation of a 10.5tons steel ingot. The experimentally determined profile of the shrinkage cavity, Sulfur print and chemical analysis of macrosegregation of the ingot in a vertical section were also available. Satisfactory agreement was obtained between the simulation and experimental result. Finally, a new hypothesis for the initialization of A-segregates is proposed: the motion of equiaxed phase and its interaction with the melt flow in the vicinity of growing columnar tip front lead to formation of an A-shape segregation band starting from the ingot corner just above the columnar-to-equiaxed transition area. This A-segregation band might provide a favored location for the initialization of A-segregates. Further dedicated experiment should be carried out to verify it.
One-way layouts, i.e., a single factor with several levels and multiple observations at each level, frequently arise in various fields. Usually not only a global hypothesis is of interest but also ...multiple comparisons between the different treatment levels. In most practical situations, the distribution of observed data is unknown and there may exist a number of atypical measurements and outliers. Hence, use of parametric and semiparametric procedures that impose restrictive distributional assumptions on observed samples becomes questionable. This, in turn, emphasizes the demand on statistical procedures that enable us to accurately and reliably analyze one-way layouts with minimal conditions on available data. Nonparametric methods offer such a possibility and thus become of particular practical importance. In this article, we introduce a new R package nparcomp which provides an easy and user-friendly access to rank-based methods for the analysis of unbalanced one-way layouts. It provides procedures performing multiple comparisons and computing simultaneous confidence intervals for the estimated effects which can be easily visualized. The special case of two samples, the nonparametric Behrens-Fisher problem, is included. We illustrate the implemented procedures by examples from biology and medicine.
PDF
