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9th SmoleQ Greeting Seminar (2025.06.18 at 17:00 (JST))
 
Speaker: 
Paul Menczel

Title: 
Full counting statistics and first-passage times in quantum Markovian processes


Abstract:

We investigate the full counting statistics and first-passage time  distributions for open quantum systems governed by Markovian dynamics.  These complementary approaches provide powerful tools for probing  fluctuations  in quantum transport and nonequilibrium thermodynamics. We derive  general ensemble relations that connect the two approaches under  specific conditions, and we highlight their physical implications with  several applications. In regimes of metastability, long-lived  intermediate states may cause apparent violations of these relations,  as we discuss. We also illustrate how fluctuation theorems governing the  probability of rare fluctuations in the first-passage time  distributions can be formulated based on results from  full counting statistics. Our general framework provides a  comprehensive picture of the first-passage time statistics in Markovian  quantum systems, encompassing multiple earlier results and having direct  implications for current experiments in mesoscopic conductors,  quantum optics, and nanoscale heat engines.






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