Erasmus Langer
Siegfried Selberherr
Oskar Baumgartner
Markus Bina
Hajdin Ceric
Johann Cervenka
Raffaele Coppeta
Lado Filipovic
Lidija Filipovic
Wolfgang Gös
Klaus-Tibor Grasser
Hossein Karamitaheri
Hans Kosina
Hiwa Mahmoudi
Alexander Makarov
Mahdi Moradinasab
Mihail Nedjalkov
Neophytos Neophytou
Roberto Orio
Dmitry Osintsev
Mahdi Pourfath
Florian Rudolf
Franz Schanovsky
Anderson Singulani
Zlatan Stanojevic
Viktor Sverdlov
Stanislav Tyaginov
Michael Waltl
Josef Weinbub
Yannick Wimmer
Thomas Windbacher
Wolfhard Zisser

Mihail Nedjalkov
Dr. D.Sc.
Mihail Nedjalkov, born in Sofia, Bulgaria received a Master degree in semiconductor physics at the Sofia University "Kl. Ohridski", a PhD degree (1990), habilitation (2001) and D.Sc. degree (2011) at the Bulgarian Academy of Sciences (BAS). He is Associate Professor at the Institute of Information and Communication Technologies, BAS, and has held visiting research positions at the University of Modena (1994), University of Frankfurt (1998), Arizona State University (2004) and mainly at the Institute for Microelectronics, Technische Universität Wien. Nedjalkov has been supported by the following European and Austrian projects: EC Project NANOTCAD (2000-03), "Osterreichische Forschungsgemeinschaft MOEL 239 and 173 (2007-08), FWF (Austrian Science Fund) P-13333-TEC (1998-99) START (2005-06), and P21685 'Wigner-Boltzmann Particle Simulations' (2009-current). He has served as a lecturer at the 2004 International School of Physics 'Enrico Fermi', Varenna, Italy. He is a member of the Italian Physical Society, APS and AMS reviewer, and has over 100 publications: 50 in journals, 50 in proceedings, 18 in books, and 3 book chapters. His research interests include physics and modeling of classical and quantum carrier transport in semiconductor materials, devices and nanostructures, collective phenomena, theory and application of stochastic methods.

Wigner Quasi-Particles – an Asymptotic Perspective

Wigner quantum mechanics is reformulated in a discrete momentum space and analyzed with a Monte Carlo algorithm, in order to for solve integral equations and are thus associated with a particle picture. General quantum transport phenomena, accounting for transients, boundary conditions and initial conditions may be modeled in terms of quasi-particles involving attributes like drift, generation, sign, and annihilation in a phase space grid. The model is examined in an ultimate regime, where classical and quantum dynamics become equivalent. The difference between the classical and the quantum mean values of a physical quantity associated with the evolution of an initial state is negligible for up to quadratic potentials. In this case the commutator coincides with the Poisson bracket and the physical aspects are determined by the initial condition only. This ultimate parity may be used to setup benchmark experiments testing the properties of quantum computational approaches. In particular, in the phase space, the ballistic Boltzmann and coherent Wigner evolution become equivalent for linear potentials. Why has this duality not yet been used as a reference for validation of Wigner transport simulation methods? The reason is that the Wigner potential becomes a generalized function, namely a delta function derivative, which precludes any exact numerical treatment: even the standard, infinitely coherent in space definition of the Wigner potential diverges.
This research aims at both, the development of an asymptotic approach as well as validating of our Wigner particle model for this extreme case. The model, which entangles particle attributes such as generation, sign and annihilation at consecutive time steps, must resemble the effect of acceleration due to the applied electric field. The equivalence between the two pictures is achieved only at the limit of the coherence length approaching infinity, so that the finite case reveals both classical and quantum effects. The peculiarities of the transport in this asymptotic regime are analyzed within simulations, benchmarking the behavior of the Wigner function.