{"id":8410,"date":"2022-10-25T11:17:56","date_gmt":"2022-10-25T03:17:56","guid":{"rendered":"https:\/\/phys.nycu.edu.tw\/10-27-decoherence-limit-of-quantum-systems-obeying-generalized-uncertainty-principle-new-paradigm-for-tsallis-thermostatistics\/"},"modified":"2022-10-25T11:30:28","modified_gmt":"2022-10-25T03:30:28","slug":"10-27-decoherence-limit-of-quantum-systems-obeying-generalized-uncertainty-principle-new-paradigm-for-tsallis-thermostatistics","status":"publish","type":"post","link":"https:\/\/phys.nycu.edu.tw\/en\/10-27-decoherence-limit-of-quantum-systems-obeying-generalized-uncertainty-principle-new-paradigm-for-tsallis-thermostatistics\/","title":{"rendered":"10\/27 Decoherence limit of quantum systems obeying generalized uncertainty principle: new paradigm for Tsallis thermostatistics"},"content":{"rendered":"

Time:<\/strong> 1:45pm~3:10pm, October 27 (Thursday)
\nTitle: <\/strong>Decoherence limit of quantum systems obeying generalized uncertainty principle: new paradigm for Tsallis thermostatistics<\/p>\n

Speaker:<\/strong> Doc. Dr Petr Jizba
\n(Department of Physics, Czech Technical University in Prague)
\nPlace:<\/strong> online speech <\/span><\/b>https:\/\/meet.google.com\/ndj-aqqz-xuo<\/a>\u00a0 \u00a0 <\/span>
\n<\/span><\/b>\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 Students should attend the lecture in Science Building III 1F SC157<\/p>\n

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Decoherence limit of quantum systems obeying generalized uncertainty principle: new paradigm for Tsallis thermostatistics<\/span><\/b><\/div>\n
P.Jizba<\/u><\/span>
\n<\/span><\/div>\n
\u00a0<\/span><\/div>\n
The generalized uncertainty principle (GUP) is a phenomenological model whose purpose is to account for a minimal length scale (eg, Planck scale or characteristic inverse-mass scale in effective quantum description) in quantum systems. In my talk I will discuss possible observational effects of GUP systems in their decoherence domain. I first derive coherent states associated to GUP and unveil that in the momentum representation they coincide with Tsallis’ probability amplitudes, whose non-extensivity parameter\u00a0<\/span>q<\/i><\/span>\u00a0monotonically increases with the GUP deformation parameter\u00a0<\/span>\u03b2<\/i><\/span>\u00a0. Secondly, for\u00a0<\/span>\u03b2<\/i><\/span>\u00a0<\u00a0<\/span>0\u00a0<\/span>(ie,\u00a0<\/span>q<\/i><\/span>\u00a0<\u00a0<\/span>1<\/span>\u00a0<\/span><\/i>\u00a0<\/span>\u00a0<\/span><\/i>\u00a0<\/span><\/i>\u00a0<\/span>\u00a0<\/span><\/i>), I show that, due to Bekner-Babenko inequality, the GUP is fully equivalent to information-theoretic uncertainty relations based on Tsallis-entropy-power. Finally, I invoke the Maximal Entropy principle known from estimation theory to reveal connection between the quasi -classical (decoherence) limit of GUP-related quantum theory and non-extensive 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, the aforementioned quasi-classical regime has relevant observational consequences. I will discuss some of the implications.<\/span><\/div>\n
\u00a0<\/span><\/div>\n
P. Jizba and J. Korbel, Phys.\u00a0<\/span>Rev.\u00a0<\/span>Lett.\u00a0<\/span>122\u00a0<\/span>, 120601\u00a0<\/span>(2019).<\/span>\u00a0<\/span>\u00a0<\/span>\u00a0<\/span>\u00a0<\/span><\/div>\n
P. Jizba, Y. Ma, A. Hayes, and JA Dunningham Phys.\u00a0<\/span>Rev.\u00a0<\/span>E\u00a0<\/span>93\u00a0<\/span>, 060104(R) (2016)<\/span>\u00a0<\/span>\u00a0<\/span>\u00a0<\/span><\/div>\n
P.Jizba,\u00a0<\/span>\u00a0G. Lambiase, G. Luciano and L. Petruziello, Phys. Rev. D 105, L121501 (2022)<\/span><\/div>\n
EP Verlinde, JHEP\u00a0<\/span>04\u00a0<\/span>, 029 (2011)<\/span>\u00a0<\/span><\/div>\n
PD Mannheim and JG O’Brien, Phys. Rev. Lett.\u00a0<\/span>106\u00a0<\/span>,\u00a0<\/span>121101 (2011)<\/span>\u00a0<\/span>\u00a0<\/span><\/div>\n<\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"

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