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Full-Text Articles in Physics

Information-Entropic Measure Of Energy-Degenerate Kinks In Two-Field Models, R.A.C. Correa, A. De Souza Dutra, M. Gleiser Oct 2014

Information-Entropic Measure Of Energy-Degenerate Kinks In Two-Field Models, R.A.C. Correa, A. De Souza Dutra, M. Gleiser

Dartmouth Scholarship

We investigate the existence and properties of kink-like solitons in a class of models with two interacting scalar fields. In particular, we focus on models that display both double and single-kink solutions, treatable analytically using the Bogomol'nyi–Prasad–Sommerfield bound (BPS). Such models are of interest in applications that include Skyrmions and various superstring-motivated theories. Exploring a region of parameter space where the energy for very different spatially-bound configurations is degenerate, we show that a newly-proposed momentum–space entropic measure called Configurational Entropy (CE) can distinguish between such energy-degenerate spatial profiles. This information-theoretic measure of spatial complexity provides a complementary perspective to situations …


Improving Einstein–Podolsky–Rosen Steering Inequalities With State Information, James Schneeloch, Curtis J. Broadbent, John C. Howell Jan 2014

Improving Einstein–Podolsky–Rosen Steering Inequalities With State Information, James Schneeloch, Curtis J. Broadbent, John C. Howell

Mathematics, Physics, and Computer Science Faculty Articles and Research

We discuss the relationship between entropic Einstein–Podolsky–Rosen (EPR)-steering inequalities and their underlying uncertainty relations along with the hypothesis that improved uncertainty relations lead to tighter EPR-steering inequalities. In particular, we discuss how using information about the state of a quantum system affects oneʼs ability to witness EPR-steering. As an example, we consider the recent improvement to the entropic uncertainty relation between pairs of discrete observables (Berta et al., 2010 [10]). By considering the assumptions that enter into the development of a steering inequality, we derive correct steering inequalities from these improved uncertainty relations and find that they are identical to …