Non-uniform magnetic field as a booster for quantum speed limit: faster quantum information processing. (1st August 2022)

• Record Type: Journal Article
• Authors: Aggarwal, Srishty; Banerjee, Subhashish; Ghosh, Arindam; Mukhopadhyay, Banibrata
• Is Part Of: New journal of physics. Volume 24:Number 8(2022)
• Publication Date: 2022-08-01
• Subjects: quantum speed -- non-uniform magnetic field -- Dirac equation -- Landau quantization -- Bremermann–Bekenstein bound; Physics -- Periodicals; Physics; Periodicals; 530.05
• DOI: 10.1088/1367-2630/ac84f9
• Languages: English
• ISSNs: 1367-2630

Abstract

Abstract: We probe the quantum speed limit (QSL) of an electron when it is trapped in a non-uniform magnetic field. We show that the QSL increases to a large value, but within the regime of causality, by choosing a proper variation in magnetic fields. We also probe the dependence of QSL on spin of electron and find that it is higher for spin-down electron in the relativistic regime. This can be useful in achieving faster speed of transmission of quantum information. Further, we use the Bremermann–Bekenstein bound to find a critical magnetic field that bridges the gap between non-relativistic and relativistic treatments and relates to the stability of matter. An analytical framework is developed. We also provide a plausible experimental design to supplement our theory.