Results 61 to 70 of about 4,790,611 (321)

A Clarification on Quantum‐Metric‐Induced Nonlinear Transport

Advanced Science, EarlyView.
How does the quantum metric truly govern the nonlinear transport? The longstanding theoretical discrepancies are resolved in quantum‐metric‐induced nonlinear transport and the correct intrinsic nonlinear conductivity is identified. Furthermore, a toy model is engineered to suppress the competing effects, uniquely highlighting the role of quantum metric
Xiao‐Bin Qiang, Tianyu Liu, Zi‐Xuan Gao, Hai‐Zhou Lu, X. C. Xie   +4 more
wiley   +1 more source

Multi‐Soliton Microcombs Enable Ultrafast Nanometric‐Precision Ranging and Photon‐Level Detection

Advanced Science, EarlyView.
Our work first demonstrates dual‐multi‐soliton ranging and confirms its multifunctional capability. The method achieves ultrafast and nanometric‐precision measurement. For practical applications, we further extend the multi‐soliton states to photon‐level ranging.
Jiawen Zhi, Xiaoyang Guo, Xusheng Yang, Brent E. Little, Sai T. Chu, Chenggang Shao, Mengyu Wang, Yan Liang, Peng Xie, Weiqiang Wang, Hanzhong Wu   +10 more
wiley   +1 more source

Frames in super Hilbert modules [PDF]

Sahand Communications in Mathematical Analysis, 2018
In this paper, we define super Hilbert module and investigate frames in this space. Super Hilbert modules are  generalization of super Hilbert spaces in Hilbert C*-module setting.
Mehdi Rashidi-Kouchi
doaj  

Branching Geodesics of the Gromov-Hausdorff Distance

Analysis and Geometry in Metric Spaces, 2022
In this paper, we first evaluate topological distributions of the sets of all doubling spaces, all uniformly disconnected spaces, and all uniformly perfect spaces in the space of all isometry classes of compact metric spaces equipped with the Gromov ...
Ishiki Yoshito
doaj   +1 more source

A Perspective on Interactive Theorem Provers in Physics

Advanced Science, EarlyView.
Into an interactive theorem provers (ITPs), one can write mathematical definitions, theorems and proofs, and the correctness of those results is automatically checked. This perspective goes over the best usage of ITPs within physics and motivates the open‐source community run project PhysLean, the aim of which is to be a library for digitalized physics
Joseph Tooby‐Smith
wiley   +1 more source

Perturbation and Stability of Continuous Operator Frames in Hilbert C∗-Modules

Journal of Mathematics, 2021
Frame theory has a great revolution in recent years. This theory has been extended from the Hilbert spaces to Hilbert C∗-modules. In this paper, we consider the stability of continuous operator frame and continuous K-operator frames in Hilbert C∗-modules
Abdeslam Touri, Hatim Labrigui, Mohamed Rossafi, Samir Kabbaj   +3 more
doaj   +1 more source

Experimental Joint Estimation of Phase and Phase Diffusion Via Deterministic Bell Measurements

Advanced Science, EarlyView.
This work employs Bell measurement, a form of entangling measurement, to estimate both the phase and its fluctuations in an optical interferometer. By incorporating a novel quantum effect at the measurement stage, the proposed method achieves the ultimate precision limit and demonstrates the significant potential of entangling measurements in multi ...
Ben Wang, Minghao Mi, Huangqiuchen Wang, Qian Xie, Lijian Zhang   +4 more
wiley   +1 more source

Some New Characterizations and g-Minimality and Stability of g-Bases in the Hilbert Spaces

Journal of Function Spaces and Applications, 2013
The concept of g-basis in the Hilbert spaces is introduced by Guo (2012) who generalizes the Schauder basis in the Hilbert spaces. g-basis plays the similar role in g-frame theory to that the Schauder basis plays in frame theory.
Xunxiang Guo
doaj   +1 more source

Scrambling‐Enhanced Quantum Battery Charging in Black Hole Analogues

Advanced Science, EarlyView.
By employing a black‐hole‐analog quantum battery constructed from a position‐dependent XY model, its dynamical behavior is investigated through a quench of the scrambling parameter. It is systematically quantified that how the simulated scrambling improves key performance metrics‐namely, stored energy, peak power, and charging time‐thereby offering a ...
Zhilong Liu, Ying Li, Zehua Tian, Jieci Wang   +3 more
wiley   +1 more source

Reconstructing Coherent Functional Landscape From Multi‐Modal Multi‐Slice Spatial Transcriptomics by a Variational Spatial Gaussian Process

Advanced Science, EarlyView.
This study introduces stVGP, a variational spatial Gaussian process framework for multi‐modal, multi‐slice spatial transcriptomics. By integrating histological and genomic data through hybrid alignment and attention‐based fusion, stVGP reconstructs coherent 3D functional landscapes.
Zedong Wang, Bowen Fu, Chuanchao Zhang, Xiaoping Liu   +3 more
wiley   +1 more source