J1-2208 — Annual report 2009
1.
T. Prosen, adviser of PhD Thesis: Iztok Pižorn, Entanglement and quantum critical phenomena : oprator spaces and random matrix theory

Entanglement properties of the time evolution of local operators in the Heisenberg picture are characterized using a measure Operator Space Entanglement Entropy (OSEE). The growth of OSEE in temporal dynamics is related to the number of Majorana fermions (index) in initial product operators, furthermore, it diverges logarithmically for infinite-index initial operators with the prefactor given by the number of stationary points in the quasi-particle dispersion relation. This property is connected to the quantum phase transition in the XY model far from the equilibrium.

D.09 Tutoring for postgraduate students

COBISS.SI-ID: 2212964
2.
Tomaž Prosen, "Third quantization", invited lecture course at international workshop

Invited lecture course in four parts entitled "Third quantization" about the author's setup for an exact diagonalization of open many-body fermionic systems in Lioiville-Fock spaces. The event: The International Workshop on New Renormalization Techniques in Condensed Matter Systems, Stellenbosch,NITheP, South Africa, 31 August - 11 September

B.04 Guest lecture

COBISS.SI-ID: 2237284