scholarly journals Dynamical topological quantum phase transitions for mixed states

2017 ◽  
Vol 96 (18) ◽  
Author(s):  
M. Heyl ◽  
J. C. Budich
2020 ◽  
Vol 2 (4) ◽  
Author(s):  
Sourav Manna ◽  
N. S. Srivatsa ◽  
Julia Wildeboer ◽  
Anne E. B. Nielsen

Author(s):  
Muzamil Shah

Abstract Topological photonics is an emerging field in photonics in which various topological and geometrical ideas are used to manipulate and control the behavior of light photons. The interplay between topological matter and the spin degree of freedom of photons provides new opportunities for achieving spin-based photonics applications. In this paper, the photonic spin Hall effect (PSHE) of reflected light from the surface of the topological silicene quantum systems subjected to external electric and radiation fields in the terahertz regime is theoretically investigated. By tuning the external electric and the applied laser fields, we can drive the silicenic system through different topological quantum phase transitions. We demonstrate that the in-plane and transverse spatial spin dependent shifts exhibit extreme values near Brewster’s angles and away from the optical transition frequencies. We reveal that the photonic spin Hall shifts are sensitive to the spin and valley indices as well as to the number of closed gaps. By incorporating the quantum weak value measurement techniques, the photonic spin Hall effect greatly impact the research in spinoptics, spintronics, and valleytronics.


2020 ◽  
Vol 101 (17) ◽  
Author(s):  
Xiao-Chuan Wu ◽  
Yichen Xu ◽  
Hao Geng ◽  
Chao-Ming Jian ◽  
Cenke Xu

2014 ◽  
Vol 28 (07) ◽  
pp. 1450050 ◽  
Author(s):  
ANDRÉ L. FONSECA DE OLIVEIRA ◽  
EFRAIN BUKSMAN ◽  
JESÚS GARCÍA LÓPEZ DE LACALLE

The present article proposes a measure of correlation for multiqubit mixed states. The measure is defined recursively, accumulating the correlation of the subspaces, making it simple to calculate without the use of regression. Unlike usual measures, the proposed measure is continuous additive and reflects the dimensionality of the state space, allowing to compare states with different dimensions. Examples show that the measure can signal critical points (CPs) in the analysis of Quantum Phase Transitions (QPTs) in Heisenberg models.


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