Saved in:
| Main Author: | |
|---|---|
| Format: | Preprint |
| Published: |
2024
|
| Subjects: | |
| Online Access: | https://arxiv.org/abs/2408.13577 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866910605079740416 |
|---|---|
| author | Radomirov, M. |
| author_facet | Radomirov, M. |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2408_13577 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Complexity of Quantum Charged Particle in External Magnetic Field Radomirov, M. Quantum Physics High Energy Physics - Theory 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. |
| title | Complexity of Quantum Charged Particle in External Magnetic Field |
| topic | Quantum Physics High Energy Physics - Theory |
| url | https://arxiv.org/abs/2408.13577 |