Motion from Measurement: The Role of Symmetry of Quantum Measurements
Fuente:
arXiv
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| Autores principales: | , , , |
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| Formato: | Preprint |
| Publicado: |
2024
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| Acceso en línea: | |
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| _version_ | 1866913888640958464 |
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| author | Antonic, Luka Kafri, Yariv Podolsky, Daniel Turner, Ari M. |
| author_facet | Antonic, Luka Kafri, Yariv Podolsky, Daniel Turner, Ari M. |
| contents | In quantum mechanics, measurements are dynamical processes and thus they should be capable of inducing currents. The symmetries of the Hamiltonian and measurement operator provide an organizing principle for understanding the conditions for such currents to emerge. The central role is played by the inversion and time-reversal symmetries. We classify the distinct behaviors that emerge from single and repeated measurements, with and without coupling to a dissipative bath. While the breaking of inversion symmetry alone is sufficient to generate currents through measurements, the breaking of time-reversal symmetry by the measurement operator leads to a dramatic increase in the magnitude of the currents. We consider the dependence on the measurement rate and find that the current is non-monotonic. Furthermore, nondegenerate measurements can lead to current loops within the steady state even in the Zeno limit. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_05946 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Motion from Measurement: The Role of Symmetry of Quantum Measurements Antonic, Luka Kafri, Yariv Podolsky, Daniel Turner, Ari M. Quantum Physics Other Condensed Matter Statistical Mechanics In quantum mechanics, measurements are dynamical processes and thus they should be capable of inducing currents. The symmetries of the Hamiltonian and measurement operator provide an organizing principle for understanding the conditions for such currents to emerge. The central role is played by the inversion and time-reversal symmetries. We classify the distinct behaviors that emerge from single and repeated measurements, with and without coupling to a dissipative bath. While the breaking of inversion symmetry alone is sufficient to generate currents through measurements, the breaking of time-reversal symmetry by the measurement operator leads to a dramatic increase in the magnitude of the currents. We consider the dependence on the measurement rate and find that the current is non-monotonic. Furthermore, nondegenerate measurements can lead to current loops within the steady state even in the Zeno limit. |
| title | Motion from Measurement: The Role of Symmetry of Quantum Measurements |
| topic | Quantum Physics Other Condensed Matter Statistical Mechanics |
| url | https://arxiv.org/abs/2405.05946 |