61 citations · 64 across the 6 of their papers we have counts for
7 papers
Control landscapes for two-level open quantum systems
Alexander Pechen, Dmitrii Prokhorenko, Rebing Wu +1
A quantum control landscape is defined as the physical objective as a function of the control variables. In this paper the control landscapes for two-level open quantum systems, wh…
Nonequlibrium Renormalization Theory III
D. V. Prokhorenko
In the present paper we develop the general theory of renormalization of some nonequilibrium diagram technique. This technique roughly is the Keldysh diagram technique. To develop…
On Some New Proof of the Bogoliubov-Parasiuk Theorem (Nonequilibrium Renormalization Theory II)
D. V. Prokhorenko
It is usually used a complicated combinatorics to prove the Bogoliubov-Parasiuk theorem. In the present paper we give a proof of the Bogoliubov-Parasiuk theorem which use a simple…
Nonequilibrium Renormalization Theory I
D. V. Prokhorenko
In the present article we consider some general class of divergent diagrams in Keldysh diagram technique. These divergences arise for nonequilibrium matter and closely related to t…
Squares of White Noise, SL(2,C) and Kubo - Martin -Schwinger States
D. V. Prokhorenko
We investigate the structure of Kubo - Martin - Schwinger (KMS) states on some extension of the universal enveloping algebra of SL(2,C}. We find that there exists a one-to-one corr…
Renormalization of Gauge theories and the Hopf Algebra of Diagrams
D. V. Prokhorenko
In 1999 A. Connes and D. Kreimer have discovered a Hopf algebra structure on the Feynman graphs of scalar field theory. They have found that the renormalization can be interpreted…