Decoherence limit of quantum systems obeying generalized uncertainty principle: New paradigm for Tsallis thermostatistics
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21340%2F22%3A00360005" target="_blank" >RIV/68407700:21340/22:00360005 - isvavai.cz</a>
Result on the web
<a href="https://doi.org/10.1103/PhysRevD.105.L121501" target="_blank" >https://doi.org/10.1103/PhysRevD.105.L121501</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1103/PhysRevD.105.L121501" target="_blank" >10.1103/PhysRevD.105.L121501</a>
Alternative languages
Result language
angličtina
Original language name
Decoherence limit of quantum systems obeying generalized uncertainty principle: New paradigm for Tsallis thermostatistics
Original language description
The generalized uncertainty principle (GUP) is a phenomenological model whose purpose is to account for a minimal length scale (e.g., Planck scale or characteristic inverse-mass scale in effective quantum description) in quantum systems. In this paper, we study possible observational effects of GUP systems in their decoherence domain. We first derive coherent states associated to GUP and unveil that in the momentum representation they coincide with Tsallis probability amplitudes, whose nonextensivity parameter q monotonically increases with the GUP deformation parameter ??. Second, for ?? < 0 (i.e., q < 1), we show that, due to Bekner-Babenko inequality, the GUP is fully equivalent to informationtheoretic uncertainty relations based on Tsallis-entropy-power. Finally, we invoke the maximal entropy principle known from estimation theory to reveal connection between the quasiclassical (decoherence) limit of GUP-related quantum theory and nonextensive thermostatistics of Tsallis. This might provide an exciting paradigm in a range of fields from quantum theory to analog gravity. For instance, in some quantum gravity theories, such as conformal gravity, aforementioned quasiclassical regime has relevant observational consequences. We discuss some of the implications.
Czech name
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Czech description
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Classification
Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
10300 - Physical sciences
Result continuities
Project
<a href="/en/project/GA19-16066S" target="_blank" >GA19-16066S: Nonlinear interactions and information transfer in complex systems with extreme events</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)
Others
Publication year
2022
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Physical Review D
ISSN
2470-0010
e-ISSN
2470-0029
Volume of the periodical
105
Issue of the periodical within the volume
12
Country of publishing house
US - UNITED STATES
Number of pages
6
Pages from-to
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UT code for WoS article
000822539300012
EID of the result in the Scopus database
2-s2.0-85132374424