Comparison of Shannon information entropies in position and momentum space for an electron in one-dimensional nonuniform systems

2012 ◽  
Vol 86 (6) ◽  
Author(s):  
Longyan Gong ◽  
Ling Wei ◽  
Shengmei Zhao ◽  
Weiwen Cheng
Keyword(s):  
Momentum Space ◽  
Shannon Information ◽  
One Dimensional

scholarly journals Momentum correlations as signature of sonic Hawking radiation in Bose-Einstein condensates

2018 ◽  
Vol 4 (4) ◽  
Author(s):  
Alessandro Fabbri ◽  
Nicolas Pavloff
Keyword(s):  
Hawking Radiation ◽  
Momentum Space ◽  
Einstein Condensate ◽  
Measuring Process ◽  
One Dimensional ◽  
Bose Einstein Condensate ◽  
Momentum Correlation ◽  
Quantum Quenches ◽  
Effects Of Temperature ◽  
Bose Einstein

We study the two-body momentum correlation signal in a quasi one dimensional Bose-Einstein condensate in the presence of a sonic horizon. We identify the relevant correlation lines in momentum space and compute the intensity of the corresponding signal. We consider a set of different experimental procedures and identify the specific issues of each measuring process. We show that some inter-channel correlations, in particular the Hawking quantum-partner one, are particularly well adapted for witnessing quantum non-separability, being resilient to the effects of temperature and/or quantum quenches.

scholarly journals Implementation of one-dimensional quantum walks on spin-orbital angular momentum space of photons

2010 ◽  
Vol 81 (5) ◽  
Author(s):  
Pei Zhang ◽  
Bi-Heng Liu ◽  
Rui-Feng Liu ◽  
Hong-Rong Li ◽  
Fu-Li Li ◽  
...  
Keyword(s):  
Angular Momentum ◽  
Orbital Angular Momentum ◽  
Momentum Space ◽  
Quantum Walks ◽  
Spin Orbital ◽  
One Dimensional

Special directions in momentum space. I. Cubic symmetries

2011 ◽  
Vol 44 (6) ◽  
pp. 1246-1254 ◽  
Author(s):  
G. Kontrym-Sznajd ◽  
M. Samsel-Czekała
Keyword(s):  
Compton Scattering ◽  
Brillouin Zone ◽  
Momentum Space ◽  
Three Dimensional ◽  
Reciprocal Space ◽  
One Dimensional

Some new sets of special directions (SDs) in the Brillouin zone for cubic structures are presented. They allow for construction in the reciprocal space of anisotropic quantities, having Γ1symmetry, from knowledge of such quantities along a limited number of SDs. These SDs also define which spectra, measured, for example, in Compton scattering experiments, are the most efficient for reconstructing three-dimensional densities from their one-dimensional projections. The new SDs are compared with results obtained by other authors.

scholarly journals Momentum-space entanglement after a quench in one-dimensional disordered fermionic systems

2019 ◽  
Vol 100 (24) ◽  
Author(s):  
Rex Lundgren ◽  
Fangli Liu ◽  
Pontus Laurell ◽  
Gregory A. Fiete
Keyword(s):  
Momentum Space ◽  
One Dimensional ◽  
Fermionic Systems

Special directions in momentum space. III. Practical applications

2015 ◽  
Vol 48 (1) ◽  
pp. 11-19 ◽  
Author(s):  
Grazyna Kontrym-Sznajd
Keyword(s):  
Compton Scattering ◽  
Momentum Space ◽  
Optimal Strategy ◽  
Three Dimensional ◽  
Experimental Investigations ◽  
Experimental Uncertainty ◽  
One Dimensional ◽  
Practical Applications ◽  
Whole Space ◽  
Full Symmetry

This paper complements two previous papers devoted toSpecial directions in momentum space. I. CubicandII. Hexagonal, tetragonal and trigonal symmetries[Kontrym-Sznajd & Samsel-Czekala (2011).J. Appl. Cryst.44, 1246–1254; Kontrym-Sznajd & Samsel-Czekala (2012).J. Appl. Cryst.45, 1254–1260], in which sets of special directions (SDs) were proposed. Such directions, employing the full symmetry of the Brillouin zone, allow for constructing in the whole space anisotropic quantities from their known values along a few directions. SDs also define which spectra, measured in, for example, Compton scattering experiments, are the most efficient for reconstructing three-dimensional densities from their one-dimensional projections. This paper, in which new sets of special directions (SDs) for cubic structures are proposed, is devoted mainly to practical applications of SDs. Taking into account experimental uncertainty, an optimal strategy for experimental investigations is discussed.

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