@article{ZunkovicProsen2010,
  author    = {Zunkovic, Bojan and Prosen, Tomaz},
  title     = {Explicit solution of the Lindblad equation for nearly isotropic boundary driven XY spin 1/2 chain},
  issn      = {1742-5468},
  doi       = {10.1088/1742-5468/2010/08/P08016},
  year      = {2010},
  abstract  = {Explicit solution for the two-point correlation function in a non-equilibrium steady state of a nearly isotropic boundary driven open XY spin 1/2 chain in the Lindblad formulation is provided. A non-equilibrium quantum phase transition from exponentially decaying correlations to long range order is discussed analytically. In the regime of long range order a new phenomenon of correlation resonances is reported, where the correlation response of the system is unusually high for certain discrete values of the external bulk parameter, e.g. the magnetic field.},
  language  = {en}
}
@article{ProsenIlievski2011,
  author    = {Prosen, Tomaz and Ilievski, Enej},
  title     = {Nonequilibrium phase transition in a periodically driven XY spin chain},
  series = {Physical review letters},
  volume    = {107},
  journal   = {Physical review letters},
  number    = {6},
  publisher = {American Physical Society},
  address   = {College Park},
  issn      = {0031-9007},
  doi       = {10.1103/PhysRevLett.107.060403},
  pages     = {4},
  year      = {2011},
  abstract  = {We present a general formulation of Floquet states of periodically time-dependent open Markovian quasifree fermionic many-body systems in terms of a discrete Lyapunov equation. Illustrating the technique, we analyze periodically kicked XY spin-1/2 chain which is coupled to a pair of Lindblad reservoirs at its ends. A complex phase diagram is reported with reentrant phases of long range and exponentially decaying spin-spin correlations as some of the system's parameters are varied. The structure of phase diagram is reproduced in terms of counting nontrivial stationary points of Floquet quasiparticle dispersion relation.},
  language  = {en}
}
@article{Prosen2011,
  author    = {Prosen, Tomaz},
  title     = {Complexity and nonseparability of classical Liouvillian dynamics},
  series = {Physical review : E, Statistical, nonlinear and soft matter physics},
  volume    = {83},
  journal   = {Physical review : E, Statistical, nonlinear and soft matter physics},
  number    = {3},
  publisher = {American Physical Society},
  address   = {College Park},
  issn      = {1539-3755},
  doi       = {10.1103/PhysRevE.83.031124},
  pages     = {5},
  year      = {2011},
  abstract  = {We propose a simple complexity indicator of classical Liouvillian dynamics, namely the separability entropy, which determines the logarithm of an effective number of terms in a Schmidt decomposition of phase space density with respect to an arbitrary fixed product basis. We show that linear growth of separability entropy provides a stricter criterion of complexity than Kolmogorov-Sinai entropy, namely it requires that the dynamics be exponentially unstable, nonlinear, and non-Markovian.},
  language  = {en}
}