Quantum Speed Limit for Relativistic Spin-0 and Spin-1 Bosons on Commutative and Noncommutative Planes

Jing, Jian  (Department of Physics and Electronics, School of Science, Beijing University of Chemical Technology, Beijing 100029, China) ; Wang, Kang  (Department of Physics and Electronics, School of Science, Beijing University of Chemical Technology, Beijing 100029, China) ; Zhang, Yu-Fei  (Department of Physics and Electronics, School of Science, Beijing University of Chemical Technology, Beijing 100029, China) ; Wang, Qing  (College of Physics and Technology, Xinjiang University, Urumqi 830046, China) ; Long, Zheng-Wen  (College of Physics, Guizhou University, Guiyang 550025, China)

22 October 2017

Abstract: Quantum speed limits of relativistic charged spin-0 and spin-1 bosons in the background of a homogeneous magnetic field are studied on both commutative and noncommutative planes. We show that, on the commutative plane, the average speeds of wave packets along the radial direction during the interval in which a quantum state is evolving from an initial state to the orthogonal final one can not exceed the speed of light, regardless of the intensities of the magnetic field. However, due to the noncommutativity, the average speeds of the wave packets on noncommutative plane will exceed the speed of light in vacuum provided the intensity of the magnetic field is strong enough. It is a clear signature of violating Lorentz invariance in the relativistic quantum mechanics region.


Published in: Advances in High Energy Physics 2017 (2017) 4739596
Published by: Hindawi
DOI: 10.1155/2017/4739596
arXiv: 1703.01063
License: CC-BY-3.0



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