{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,11,19]],"date-time":"2025-11-19T09:40:06Z","timestamp":1763545206812,"version":"3.41.2"},"reference-count":65,"publisher":"World Scientific Pub Co Pte Ltd","issue":"02","funder":[{"name":"National Research Center","award":["2021\/03\/Y\/ST2\/00193"],"award-info":[{"award-number":["2021\/03\/Y\/ST2\/00193"]}]},{"name":"Polish National Science Center","award":["2018\/30\/A\/ST2\/00837"],"award-info":[{"award-number":["2018\/30\/A\/ST2\/00837"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Open Syst. Inf. Dyn."],"published-print":{"date-parts":[[2023,6]]},"abstract":"<jats:p> We introduce different ensembles of random Lindblad operators [Formula: see text], which satisfy quantum detailed balance condition with respect to given stationary state [Formula: see text] of size [Formula: see text], and investigate their spectral properties. Such operators are known as \u2018Davies generators\u2019 and their eigenvalues are real; however, their spectral densities depend on [Formula: see text]. We propose different structured ensembles of random matrices, which allow us to tackle the problem analytically in the extreme cases of Davies generators corresponding to random [Formula: see text] with a nondegenerate spectrum or the maximally mixed stationary state, [Formula: see text]. Interestingly, in the latter case the density can be reasonably well approximated by integrating out the imaginary component of the spectral density characteristic to the ensemble of random unconstrained Lindblad operators. The case of asymptotic states with partially degenerated spectra is also addressed. Finally, we demonstrate that similar universal properties hold for the detailed balance-obeying Kolmogorov generators obtained by applying superdecoherence to an ensemble of random Davies generators. In this way we construct an ensemble of random classical generators with imposed detailed balance condition. <\/jats:p>","DOI":"10.1142\/s1230161223500075","type":"journal-article","created":{"date-parts":[[2023,7,17]],"date-time":"2023-07-17T09:04:01Z","timestamp":1689584641000},"source":"Crossref","is-referenced-by-count":3,"title":["Random Lindblad Operators Obeying Detailed Balance"],"prefix":"10.1142","volume":"30","author":[{"given":"Wojciech","family":"Tarnowski","sequence":"first","affiliation":[{"name":"Institute of Theoretical Physics, Jagiellonian University, ul. \u0141ojasiewicza 11, 30\u2013348 Cracow, Poland"}]},{"given":"Dariusz","family":"Chru\u015bci\u0144ski","sequence":"additional","affiliation":[{"name":"Institute of Physics, Faculty of Physics, Astronomy and Informatics, Nicolaus Copernicus University, Grudzia\u0327dzka 5\/7, 87\u2013100 Toru\u0144, Poland"}]},{"given":"Sergey","family":"Denisov","sequence":"additional","affiliation":[{"name":"Department of Computer Science, Oslo Metropolitan University, N\u20130130 Oslo, Norway"},{"name":"NordSTAR \u2014 Nordic Center for Sustainable and Trustworthy AI Research, Pilestredet 52, N\u20130166, Oslo, Norway"}]},{"given":"Karol","family":"\u017byczkowski","sequence":"additional","affiliation":[{"name":"Institute of Theoretical Physics, Jagiellonian University, ul. \u0141ojasiewicza 11, 30\u2013348 Cracow, Poland"},{"name":"Center for Theoretical Physics, Polish Academy of Science, al. 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