inverse participation ratio
Recently Published Documents


TOTAL DOCUMENTS

22
(FIVE YEARS 3)

H-INDEX

10
(FIVE YEARS 0)

2021 ◽  
Vol 9 ◽  
Author(s):  
Pablo Serna ◽  
Miguel Ortuño ◽  
Andrés M. Somoza

We obtain eigenstates of interacting disorder Hamiltonians using unitary displacement transformations that rotate the state of the system. The method generates excited states if the strength of these transformations is chosen to optimize the energy, while decreasing the energy variance. We apply the method to analyse the localization properties of one-dimensional spinless fermions with short range interactions, reaching relatively large system sizes. We quantify the degree of localization through the size and disorder dependence of the inverse participation ratio.



Author(s):  
Kyu-Won Park ◽  
Juman Kim ◽  
Jisung Seo ◽  
Songky Moon ◽  
Kabgyun Jeong

Abstract The relationship between wavefunction (de)localisation and avoided crossing in a quadrupole billiard is analysed. The following three-types of measures are employed for wavefunction (de)localisation: inverse participation ratio, inverse of Rényi entropy, and root-mean-square (RMS) image contrast. All these measures exhibit minimal values at the centre of the avoided crossing, where the wavefunction is maximally delocalised. Our results indicate that these quantities can be sufficient for the indication of wavefunction (de)localisation.



2021 ◽  
Vol 67 (2 Mar-Apr) ◽  
pp. 285
Author(s):  
E. Martínez-Sánchez ◽  
A. Díaz-de-Anda ◽  
G. Burlak ◽  
R. Muñiz-Valdez

We investigate the structure of the  optical field radiated by the disordered optical nano-emitters randomly incorporated  in three-dimensional cluster of a percolation material. Our numerical studies shown that the temporal variations of the inverse participation ratio (IPR) allow analyzing the extended and localized field structures over a long time range. The properties of IPR and the dynamics of the lasing emitters allow to find the characteristic time scales when the localization of the field in a general three-dimensional disordered system occurs. The studied effect opens new perspectives to control the optical fields localization in modern optical nano-technologies.









2008 ◽  
Vol 77 (9) ◽  
pp. 094601 ◽  
Author(s):  
Mingjie Zheng ◽  
Masaki Goda ◽  
Kousuke Yakubo ◽  
Kin Wah Yu


Sign in / Sign up

Export Citation Format

Share Document