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Information × Registration Number 0222U001076, 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 23-01-2022 Organization Institute of 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 theorem 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. 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. In this context the areas of anomalous tunneling of interacting electrons beyond the steady state have been revealed on the short time scales from the tunneling maps being plotted. The effects from the Rabi oscillations of charge qubits on quantum point contacts of interacting electrons in the role of quantum detectors have been studied from the obtained tunneling maps. As the result a splitting of tunneling electrons distributions have been revealed on tunneling maps as parameter-dependent signature of Rabi oscillations of measured charge qubit. 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. The new theoretical concept of “weak quantum evolution” has been introduced in the theory of quantum weak values for the first time. Product Description popup.authors Baliha Vasyl Ya. Hutak Taras I. popup.nrat_date 2022-03-09 Close