Monitored quantum transport: full counting statistics of a quantum Hall interferometer
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arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866908572508487680 |
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| author | Beenakker, C. W. J. Chen, Jin-Fu |
| author_facet | Beenakker, C. W. J. Chen, Jin-Fu |
| contents | We generalize the Levitov-Lesovik formula for the probability distribution function of the electron charge transferred through a phase coherent conductor, to include projective measurements that monitor the chiral propagation in quantum Hall edge modes. When applied to an electronic Mach-Zehnder interferometer, the monitoring reduces the visibility of the Aharonov-Bohm conductance oscillations while preserving the binomial form of the counting statistics, thereby removing a fundamental shortcoming of the dephasing-probe model of decoherence. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_07773 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Monitored quantum transport: full counting statistics of a quantum Hall interferometer Beenakker, C. W. J. Chen, Jin-Fu Mesoscale and Nanoscale Physics We generalize the Levitov-Lesovik formula for the probability distribution function of the electron charge transferred through a phase coherent conductor, to include projective measurements that monitor the chiral propagation in quantum Hall edge modes. When applied to an electronic Mach-Zehnder interferometer, the monitoring reduces the visibility of the Aharonov-Bohm conductance oscillations while preserving the binomial form of the counting statistics, thereby removing a fundamental shortcoming of the dephasing-probe model of decoherence. |
| title | Monitored quantum transport: full counting statistics of a quantum Hall interferometer |
| topic | Mesoscale and Nanoscale Physics |
| url | https://arxiv.org/abs/2504.07773 |