Increasing quantum speed limit via non-uniform magnetic field
| Title: | Increasing quantum speed limit via non-uniform magnetic field |
|---|---|
| Authors: | Aggarwal, Srishty, Mukhopadhyay, Banibrata, Banerjee, Subhashish, Ghosh, Arindam, Gregori, Gianluca |
| Publication Year: | 2024 |
| Collection: | General Relativity and Quantum Cosmology Quantum Physics |
| Subject Terms: | Quantum Physics, General Relativity and Quantum Cosmology |
| More Details: | Quantum speed limit (QSL) defines the theoretical upper bound on how fast a quantum system can evolve between states. It imposes a fundamental constraint on the rate of quantum information processing. For a relativistic spin-up electron in a uniform magnetic field, QSL increased with the magnetic field strength till around $10^{15}$ Gauss, before saturating at a saturated QSL (SQSL) of 0.2407c, where c is the speed of light. We show that by using variable magnetic fields, it is possible to surpass this limit, achieving SQSL upto 0.4-0.6c. To attain this quantum phenomenon, we solve the evolution equation of relativistic electron in spatially varying magnetic fields and find that the energies of various electron states become non-degenerate as opposed to the constant magnetic field case. This redistribution of energy is the key ingredient to accomplish higher QSL and, thus, a high information processing speed. We further explore how QSL can serve as a bridge between relativistic and non-relativistic quantum dynamics, providing insights via the Bremermann-Bekenstein bound, a quantity which constrains the maximal rate of information production. We also propose a practical experimental setup to realize these advancements. These results hold immense potential for propelling fields of quantum computation, thermodynamics and metrology. Comment: To be published in Astrophysics and Space Science Proceedings, titled "The Relativistic Universe: From Classical to Quantum, Proceedings of the International Symposium on Recent Developments in Relativistic Astrophysics", Gangtok, December 11-13, 2023: to felicitate Prof. Banibrata Mukhopadhyay on his 50th Birth Anniversary", Editors: S Ghosh and A R Rao, Springer Nature |
| Document Type: | Working Paper |
| Access URL: | http://arxiv.org/abs/2411.18687 |
| Accession Number: | edsarx.2411.18687 |
| Database: | arXiv |
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