Related papers: Complexity of Quantum Charged Particle in External Magnetic Field

Complexity of Quantum Charged Particle in External Magnetic Field

URL: http://arxiv.org/abs/2408.13577v1
Date: Sat, 24 Aug 2024 13:02:39 GMT
Title: Complexity of Quantum Charged Particle in External Magnetic Field
Authors: M. Radomirov,
Abstract summary: We determine the complexity of thermofield double states as functions of time, temperature, and cyclotron frequency. We calculate the rate of complexity and show that it obeys the Lloyd bound.
Score: 0.0
License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Abstract: In this paper, we investigate the circuit complexity of a quantum charged particle in an external magnetic field. Utilizing the Nielsen approach, we determine the complexity of thermofield double states as functions of time, temperature, and cyclotron frequency. We analyze both the complexity and the amplitude of its oscillations across various parameter values, and reveal that these results cannot be derived as a limit of the harmonic oscillator case. Finally, we calculate the rate of complexity and show that it obeys the Lloyd bound.

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