ICTS:30876

Video URL

Integer and fractional hitting times for monitored quantum dynamics

Integer and fractional hitting times for monitored quantum dynamics

(2025). Integer and fractional hitting times for monitored quantum dynamics. SciVideos. https://youtube.com/live/O4K0t07S8lE

Integer and fractional hitting times for monitored quantum dynamics. SciVideos, Jan. 28, 2025, https://youtube.com/live/O4K0t07S8lE 

          @misc{ scivideos_ICTS:30876,
            doi = {},
            url = {https://youtube.com/live/O4K0t07S8lE},
            author = {},
            keywords = {},
            language = {en},
            title = {Integer and fractional hitting times for monitored quantum dynamics},
            publisher = {},
            year = {2025},
            month = {jan},
            note = {ICTS:30876 see, \url{https://scivideos.org/index.php/icts-tifr/30876}}
          }
Eli Barkai
Talk numberICTS:30876
Source RepositoryICTS-TIFR
Collection

Abstract

We introduce a time-energy uncertainty relation within the context of restarts in monitored quantum dynamics [1] . Previous studies have established that the mean recurrence time, which represents the time taken to return to the initial state, is quantized as an integer multiple of the sampling time, displaying pointwise discontinuous transitions at resonances. Our findings demonstrate that the natural utilization of the restart mechanism in laboratory experiments [2], driven by finite data collection time spans, leads to a broadening effect on the transitions of the mean recurrence time. Our proposed uncertainty relation captures the underlying essence of these phenomena, by connecting the broadening of the mean hitting time near resonances, to the intrinsic energies of the quantum system and to the fluctuations of recurrence time. Our uncertainty relation has also been validated through remote experiments conducted on an International Business Machines Corporation (IBM) quantum computer. We then discuss fractional quantizatization of the recurrence time for interacting spin systems using sub-space measurements [3].
References
[1] R. Yin, Q. Wang, S. Tornow, and E. Barkai, Restart uncertainty relation for monitored quantum dynamics Proceedings of the National Academy of Sciences 122 (1) e2402912121, (2025).
[2] R. Yin, E. Barkai Restart expedites quantum walk hitting times Phys. Rev. Lett. 130, 050802 (2023).
[3] Q. Liu, S. Tornow, D. Kessler, and E. Barkai Properties of Fractionally Quantized Recurrence Times for Interacting Spin Models arXiv:2401.09810 [condmat.stat-mech] (submitted)