Competition between the collective solidification and single-particle localization in the 2D electron system

1995 ◽  
Vol 211 (1-4) ◽  
pp. 407-409 ◽  
Author(s):  
V.M. Pudalov
Entropy ◽  
2021 ◽  
Vol 23 (5) ◽  
pp. 498
Author(s):  
Chen Zhang ◽  
Kevin Welsher

In this work, we present a 3D single-particle tracking system that can apply tailored sampling patterns to selectively extract photons that yield the most information for particle localization. We demonstrate that off-center sampling at locations predicted by Fisher information utilizes photons most efficiently. When performing localization in a single dimension, optimized off-center sampling patterns gave doubled precision compared to uniform sampling. A ~20% increase in precision compared to uniform sampling can be achieved when a similar off-center pattern is used in 3D localization. Here, we systematically investigated the photon efficiency of different emission patterns in a diffraction-limited system and achieved higher precision than uniform sampling. The ability to maximize information from the limited number of photons demonstrated here is critical for particle tracking applications in biological samples, where photons may be limited.


2018 ◽  
Vol 98 (5) ◽  
Author(s):  
Jan Major ◽  
Giovanna Morigi ◽  
Jakub Zakrzewski

Author(s):  
T. Asthalter ◽  
M. Walter

Two-dimensional cuts through spin-integrated single-particle density matrices (SPDMs) have proven to be a valuable tool to discuss the nature of chemical bonding independent of the degree of rotation of the underlying orbitals in Hilbert space. Starting from a straightforward concept for the interpretation of σ bonds, we briefly present how the transition from purely ionic to mainly covalent bonding is mirrored in the off-diagonal features of the SPDM in the isoelectronic series LiF, BeO and BN. Furthermore, we outline one of several possible ways to extend the graphical representation and interpretation of SPDMs to the case of π bonds in organic molecules and apply it to the conjugated π-electron system 1,6-hexadiynediol.


2009 ◽  
Vol 17 (8) ◽  
pp. 6881 ◽  
Author(s):  
Sripad Ram ◽  
Prashant Prabhat ◽  
E. Sally Ward ◽  
Raimund J. Ober

2021 ◽  
Author(s):  
Alexey Shkarin ◽  
Anna Kashkanova ◽  
Reza Gholami mahmoodabadi ◽  
Matrin Blessing ◽  
Yazgan Tuna ◽  
...  

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