support from Swedish Research Council(2023-06671 and 2023-05288);Vinnova project(2024-00466);the G?ran Gustafsson Foundation;support from Knut and Alice Wallenberg(KAW)Foundation through the Wallenberg Centre for Quantum Technology(WACQT);Swedish Research Council(VR)Starting Grant(2016-03905);Vinnova quantum kick-start project 2021;support from the KAW and VR;supported by European Research Council under the European Union Seventh Framework ERS-2018-SYG HERO,KAW 2019.0068;the University of Connecticut。
The mobility edge(ME)is a crucial concept in understanding localization physics,marking the critical transition between extended and localized states in the energy spectrum.Anderson localization scaling theory predict...
supported by an Australian Research Council Discovery Project Grant(DP130101160)
We review recent developments in the use of magnetic lattices as a complementary tool to optical lattices for trapping periodic arrays of ultracold atoms and degenerate quantum gases. Recent advances include the reali...
This work was supported by the National Natural Science Foundation of China (Grant No. 29973005); and we are grateful to Hong Kong Research Grants Council Earmarked Grant (CUHK 456/95P) for supporting this research work.
The chemistry of inclusion compounds has a long history and is nowadays a subject of wide-ranging and intense study. With the awarding of the 1987 Nobel Prize in Chemistry to Donald J. Cram, Jean-Marie Lehn and Charle...
The category of completely distributive lattices with Scott continuous functions is cartesian closed. Neither the category of completely distributive lattices with arbitrary union preserving mappings nor the category ...
Let F(S) be the free algebra of type (,∨,→) generated by the non_empty set S, it is proved that the logical equivalent relation defined by means of R 0_semantics is a congruence relation on F(S) and the correspondin...
SINCE the concept of random walks (RW) was propounded formally by Pearson in 1905, there has been extensive research in mathematics. Then it expanded to many areas such as physics, chemistry, biology, engineering, com...
Project supported partly by the National Natural Science Foundation of China.
Taking completely distributive lattices for objects and complete lattice homomorphisms for morphisms, we get a category Lat (see Refs. [1—3]). There is a primary question about Lat: Does every family of objects have ...
Project supported by the National Natural Science Foundation of China
Ⅰ. INTRODUCTION K. Mahler, Th. Schneider, P. Bundschuh, J. Browkin and Wang Lianxiang considered the question of p-adic number which is approximated by rational numbers and tbe question of the algebraic independence ...
Ⅰ. INTRODUCTION Let A be a bounded linear operator on a separable infinitely-dimensional complex Hilbert space (?), denoted by A ∈(?)((?)), and lat A denote the lattice of all invariant subspaces of A. An operator A...
In this article we consider a classification problem of complemented lattices, which is derived from conaiderations relevant to the decision problem in many-valued logic. In what follows, we will first give some remar...