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Hybrid classical-quantum formulations ask for hybrid notions

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Barceló, Carlos and Carballo- Rubio, Raúl and Garay Elizondo, Luis Javier and Gómez Escalante, Ricardo (2012) Hybrid classical-quantum formulations ask for hybrid notions. Physical review A, 86 (4). ISSN 1050-2947

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Official URL: http://dx.doi.org/10.1103/PhysRevA.86.042120


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Abstract

We reappraise some of the hybrid classical-quantum models proposed in the literature with the goal of retrieving some of their common characteristics. In particular, first, we analyze in detail the Peres-Terno argument regarding the inconsistency of hybrid quantizations of the Sudarshan type. We show that to accept such hybrid formalism entails the necessity of dealing with additional degrees of freedom beyond those in the straight complete quantization of the system. Second, we recover a similar enlargement of degrees of freedom in the so-called statistical hybrid models. Finally, we use Wigner's quantization of a simple model to illustrate how in hybrid systems the subsystems are never purely classical or quantum. A certain degree of quantumness (classicality) is being exchanged between the different sectors of the theory, which in this particular unphysical toy model makes them undistinguishable.


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©2012 American Physical Society.
Special thanks go to Lorenzo Luis Salcedo and an anonymous referee for enlightening comments and bringing important references to our attention. The authors also want to thank Víctor Aldaya, Luis C. Barbado, Julio Guerrero, Gil Jannes, and Francisco López-Ruiz for helpful ciscussions. Financial support was provided by the Spanish MINECO through projects FIS2011-30145-C03-01 and FIS2011-30145- C03-02, by the Consolider-Ingenio 2010 Program CPAN (CSD2007-00042), and by the Junta de Andalucía through project FQM219. R.C. acknowledge support from CSIC through the JAE predoc program, cofunded by FSE.

Uncontrolled Keywords:Systems; Mechanics; Dynamics; Gravity
Subjects:Sciences > Physics > Physics-Mathematical models
Sciences > Physics > Mathematical physics
ID Code:29503
Deposited On:16 Apr 2015 07:47
Last Modified:10 Dec 2018 15:09

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