scholarly journals Quasi-Periodically Driven Quantum Systems

2016 ◽  
Vol 71 (10) ◽  
pp. 897-907 ◽  
Author(s):  
Albert Verdeny ◽  
Joaquim Puig ◽  
Florian Mintert

AbstractFloquet theory provides rigorous foundations for the theory of periodically driven quantum systems. In the case of non-periodic driving, however, the situation is not so well understood. Here, we provide a critical review of the theoretical framework developed for quasi-periodically driven quantum systems. Although the theoretical footing is still under development, we argue that quasi-periodically driven quantum systems can be treated with generalisations of Floquet theory in suitable parameter regimes. Moreover, we provide a generalisation of the Floquet-Magnus expansion and argue that quasi-periodic driving offers a promising route for quantum simulations.

2021 ◽  
Vol 10 (6) ◽  
pp. 211
Author(s):  
Durrell M. Washington ◽  
Toyan Harper ◽  
Alizé B. Hill ◽  
Lester J. Kern

The first juvenile court was created in 1899 with the help of social workers who conceptualized their actions as progressive. Youth were deemed inculpable for certain actions since, cognitively, their brains were not as developed as those of adults. Thus, separate measures were created to rehabilitate youth who exhibited delinquent and deviant behavior. Over one hundred years later, we have a system that disproportionately arrests, confines, and displaces Black youth. This paper critiques social work’s role in helping develop the first juvenile courts, while highlighting the failures of the current juvenile legal system. We then use P.I.C. abolition as a theoretical framework to offer guidance on how social work can once again assist in the transformation of the juvenile legal system as a means toward achieving true justice.


2018 ◽  
Vol 97 (2) ◽  
Author(s):  
David J. Luitz ◽  
Achilleas Lazarides ◽  
Yevgeny Bar Lev

Author(s):  
Mevludin Licina

Dynamical high-dimensional quantum states can be tracked and manipulated in many cases. Using a new theoretical framework approach of manipulating quantum systems, we will show how one can manipulate and introduce parameters that allow tracking and descriptive insight in the dynamics of states. Using quantum topology and other novel mathematical representations, we will show how quantum states behave in critical points when the shift of probability distribution introduces changes.


Author(s):  
J. Acacio de Barros ◽  
Federico Holik ◽  
Décio Krause

In this work, we discuss a formal way of dealing with the properties of contextual systems. Our approach is to assume that properties describing the same physical quantity, but belonging to different measurement contexts, are indistinguishable in a strong sense. To construct the formal theoretical structure, we develop a description using quasi-set theory, which is a set-theoretical framework built to describe collections of elements that violate Leibnitz's principle of identity of indiscernibles. This framework allows us to consider a new ontology in order to study the properties of quantum systems. This article is part of the theme issue ‘Contextuality and probability in quantum mechanics and beyond’.


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