20.500.12556/RUL-99955 Time-dependent correlation functions in open quadratic fermionic systems We formulate and discuss the explicit computation of dynamic correlation functions in open quadratic fermionic systems which are driven and dissipated by Lindblad jump processes that are linear in canonical fermionic operators. Dynamic correlators are interpreted in terms of a local quantum quench where the pre-quench state is a non-equilibrium steady state, i.e. a fixed point of the Liouvillian. As an example, we study the XY spin 1/2 chain and quadratic Majorana chains with boundary Lindblad driving, whose dynamics exhibit asymmetric (skewed) light cone behaviour. We also numerically treat the two-dimensional XY model and the XY spin chain with additional Dzyaloshinskii–Moriya interactions. The latter exhibits a new non-thermal phase transition which can be understood in terms of bifurcations of the quasi-particle dispersion relation. Finally, considering in some detail the periodic quadratic fermionic ring with dissipation at a single (arbitrary) site, we present analytical expressions for first order corrections (in the strength of dissipation) to the spectrum and non-equilibrium steady state (NESS) correlation functions. quantum mechanics quantum statistical mechanics correlation functions kvantna mehanika kvantna statistična mehanika korelacijske funkcije true false true IOP Publishing Ltd and SISSA Medialab srl Angleški jezik Slovenski jezik Neznano 2018-02-26 11:41:11 2018-02-26 11:41:12 2022-08-24 17:12:37 0000-00-00 00:00:00 2017 0 0 24 str. art. no. 123103 Vol. 2017 2017 0000-00-00 PostprintKoncna Objavljeno NiDoloceno 0000-00-00 0000-00-00 0000-00-00 2018-12-19 530.145 1742-5468 10.1088/1742-5468/aa9681 3170916 21517607 RAZ_Kos_Pavel_i2017.pdf RAZ_Kos_Pavel_i2017.pdf 1 144672522CD3147654C66D4A300ADFFD 4f782ed98dc6bf7c131c3e82db766f256c50463dbb538e7219b5473c726e61d7 a93877d7-a1b4-11eb-a523-00155dcfd717 20.500.12556/rul/fbfba266-0fad-45b0-86a7-bb07afcccb60 https://repozitorij.uni-lj.si/Dokument.php?lang=slv&id=109592 http://iopscience.iop.org/article/10.1088/1742-5468/aa9681 1 https://repozitorij.uni-lj.si/Dokument.php?lang=slv&id=109593 Fakulteta za matematiko in fiziko 0 0 0