BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:E.Halubek\, K.Pomorski (Quantum Hardware Systems) DTSTART:20241019T090000Z DTEND:20241019T110000Z DTSTAMP:20260423T022829Z UID:QHSS2024/1 DESCRIPTION:Title: Analog emulators of quantum systems\nby E.Halubek\, K.Pomorski (Quant um Hardware Systems) as part of Workshop on Quantum Hardware-Software Syst ems\n\n\nAbstract\nThe model presented by Gabriel Kron in 1945 is an examp le of an analog computer simulating quantum phenomena on a hardware level. It uses passive RLC elements to construct a hardware solver for the probl em of quantum particles confined by rectangular or other classes of potent ial. The analytical and numerical validation of Kron’s second model is c onducted for different shapes of particle-confining potentials in the one- dimensional case using an LTspice simulator. Thus\, there remains potentia l for obtaining solutions in two- and three-dimensional cases. Here\, a ci rcuit model representing a linearized Ginzburg–Landau equation is given. Kron’s second model is generalized by the introduction of linear and no n-linear resistive elements. This transforms the deformed Schrödinger equ ation into a linear dissipative Schrödinger equation and its non-linear f orm. The quantum mechanical roton problem is the main result of this work and is formulated by means of classical physical states naturally present in the LC classical circular electrical transmission line. The experimenta l verification of Kron’s model is confirmed.\n\nhttps://us06web.zoom.us/ j/84670943849?pwd=uAuqWMwVp5rTqX0CNfaImAYn1XjNyn.1\n LOCATION:https://researchseminars.org/talk/QHSS2024/1/ END:VEVENT END:VCALENDAR