scholarly journals Statistical moments of quantum-walk dynamics reveal topological quantum transitions

2016 ◽  
Vol 7 (1) ◽  
Author(s):  
Filippo Cardano ◽  
Maria Maffei ◽  
Francesco Massa ◽  
Bruno Piccirillo ◽  
Corrado de Lisio ◽  
...  
Keyword(s):  
Quantum Walk ◽  
Statistical Moments ◽  
Topological Quantum ◽  
Quantum Transitions

scholarly journals Entanglement and interaction in a topological quantum walk

2018 ◽  
Vol 5 (2) ◽  
Author(s):  
Alberto Verga ◽  
Ricardo Gabriel Elias
Keyword(s):  
Quantum Walk ◽  
Edge State ◽  
Interacting Particles ◽  
Topological Quantum

We study the quantum walk of two interacting particles on a line with an interface separating two topologically distinct regions. The interaction induces a localization-delocalization transition of the edge state at the interface. We characterize the transition through the entanglement between the two particles.

scholarly journals Topological quantum walk with discrete time-glide symmetry

2020 ◽  
Vol 102 (3) ◽  
Author(s):  
Ken Mochizuki ◽  
Takumi Bessho ◽  
Masatoshi Sato ◽  
Hideaki Obuse
Keyword(s):  
Discrete Time ◽  
Quantum Walk ◽  
Topological Quantum

Topological quantum scheme based on quantum walk

2007 ◽  
Author(s):  
Andis C. T. Kwan ◽  
Xiangdong Li ◽  
Lin Leung ◽  
Michael Anshel
Keyword(s):  
Quantum Walk ◽  
Topological Quantum

Topological quantum transitions in a two-band Chern insulator withn= 2

2015 ◽  
Vol 27 (4) ◽  
pp. 045601 ◽  
Author(s):  
Juntao Song ◽  
Yan-Yang Zhang ◽  
Yuxian Li ◽  
Qing-feng Sun
Keyword(s):  
Topological Quantum ◽  
Quantum Transitions

Topology knots and hierarchy problem

2019 ◽  
Author(s):  
Vitaly Kuyukov
Keyword(s):  
Quantum Theory ◽  
String Theory ◽  
Quantum Gravity ◽  
Dimensional Space ◽  
Space Time ◽  
Elementary Particles ◽  
Hierarchy Problem ◽  
Topological Quantum ◽  
Dimensional Space Time ◽  
New Formula

Many approaches to quantum gravity consider the revision of the space-time geometry and the structure of elementary particles. One of the main candidates is string theory. It is possible that this theory will be able to describe the problem of hierarchy, provided that there is an appropriate Calabi-Yau geometry. In this paper we will proceed from the traditional view on the structure of elementary particles in the usual four-dimensional space-time. The only condition is that quarks and leptons should have a common emerging structure. When a new formula for the mass of the hierarchy is obtained, this structure arises from topological quantum theory and a suitable choice of dimensional units.

Topological Quantum Entanglement

2014 ◽  
Author(s):  
Sankar Das Sarma ◽  
Michael Freedman ◽  
Victor Galitski ◽  
Chetan Nayak ◽  
Kirill Shtengel
Keyword(s):  
Quantum Entanglement ◽  
Topological Quantum

A topological quantum-chemical study of the chemisorption of carbon monoxide on the fcc (112) surfaces of Ni, Pt, Pd, Rh, and Ir

1990 ◽  
Vol 55 (8) ◽  
pp. 1907-1919
Author(s):  
Jiří Pancíř ◽  
Ivana Haslingerová
Keyword(s):  
Carbon Monoxide ◽  
Quantum Chemical ◽  
Co Adsorption ◽  
Quantum Chemical Study ◽  
Chemical Study ◽  
Dissociative Chemisorption ◽  
Frontier Orbitals ◽  
Surface Sites ◽  
Charged Surfaces ◽  
Topological Quantum

A semiempirical quantum-chemical topological method is applied to the study of the fcc (112) surfaces of Ni, Pt, Pd, Rh, and Ir and the nondissociative as well as dissociative chemisorption of carbon monoxide on them. On Ni, dissociative chemisorption is preferred to linear capture, whereas on Pd and Pt, linear capture is preferred although dissociative chemisorption is also feasible. On Rh and, in particular, on Ir, dissociative chemisorption is energetically prohibited. The high dissociative ability of the Ni surface can be ascribed to a rather unusual charge alteration and to the degeneracy of the frontier orbitals. Negative charges at the surface level are only found on the Ni and Pt surfaces whereas concentration of positive charges is established on the Rh and Ir surfaces; the Pd surface is nearly uncharged. Metals with negatively charged surfaces seem to be able to dissociate molecules of carbon monoxide. It is demonstrated that CO adsorption can take place on all metal surface sites, most effectively in the valley of the step. In all the cases studied, the attachment to the surface is found to be energetically more favourable for the carbon than for the oxygen.

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