10/27 Decoherence limit of quantum systems obeying generalized uncertainty principle: new paradigm for Tsallis thermostatistics
時間：10月27日(四) 13：45 ~ 15：10
題目：Decoherence limit of quantum systems obeying generalized uncertainty principle: new paradigm for Tsallis thermostatistics
講者：Doc. Dr Petr Jizba
服務單位：Department of Physics, Czech Technical University in Prague
對象：本所博士生及碩士生、或其他有興趣之師生(本次演講與電物系共同上課)
地點：線上演講 https://meet.google.com/ndj-aqqz-xuo 修課學生請至科學三館1樓 SC157教室聽講
備註：GoogleMeet連結直播https://meet.google.com/ndj-aqqz-xuo
Decoherence limit of quantum systems obeying generalized uncertainty principle: new paradigm for Tsallis thermostatistics
P.Jizba
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 q monotonically increases with the GUP deformation parameter β . Secondly, for β < 0 (ie, q < 1 ), 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.
P. Jizba and J. Korbel, Phys. Rev. Lett. 122 , 120601 (2019).
P. Jizba, Y. Ma, A. Hayes, and JA Dunningham Phys. Rev. E 93 , 060104(R) (2016)
P.Jizba, G. Lambiase, G. Luciano and L. Petruziello, Phys. Rev. D 105, L121501 (2022)
EP Verlinde, JHEP 04 , 029 (2011)
PD Mannheim and JG O’Brien, Phys. Rev. Lett. 106 , 121101 (2011)
