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Information × Registration Number 0221U101069, 0120U100119 , R & D reports Title Novel aspects of quantum detectors theory in low-dimensional electron systems popup.stage_title Head Skorobagatko Glib O., Кандидат фізико-математичних наук Registration Date 13-01-2021 Organization Institute for Condensed Matter Physics of the National Academy of Sciences of Ukraine popup.description2  The process of equilibration to the steady-state of the tunnel current in a wide class of Luttinger ballistic tunnel contacts was studied. In particular, the important Self-equilibation (SE-) theorem (about the self-equilibration of tunnel current quantum fluctuations) was proved for the first time for arbitrary Luttinger liquid tunnel contacts. On this basis the exact formula for the time-dependent generating functional for Luttinger liquid tunnel contacts was obtained for the first time. Maps of tunneling of interacting electrons through tunnel contact over time were obtained. Within the framework of the Full counting statistics approach, the authors have obtained exact analytical formulas for the distribution functions for tunnel currents through one-dimensional tunnel contacts of interacting electrons for the first time The new "causal" universal criterion for the entanglement or separability of quantum density matrices for arbitrary dimensions has been developed. As a result, for the first time corresponding universal causal separability criterion has been obtained for the important case of such systems, when all N subsystems of the quantum system are connected with each other to the same degree. On this background a number of important entanglement/separability conditions has been obtained for the first time for those (EC-)density matrices encoding equally connected quantum ensembles of different nature. Product Description popup.authors Baliha Vasyl Ya. Hutak Taras I. popup.nrat_date 2021-01-13 Close