TY  - JOUR
A1  - Prosen, Tomaz
A1  - Ilievski, Enej
T1  - Nonequilibrium phase transition in a periodically driven XY spin chain
JF  - Physical review letters
N2  - 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.
Y1  - 2011
U6  - https://doi.org/10.1103/PhysRevLett.107.060403
SN  - 0031-9007
VL  - 107
IS  - 6
PB  - American Physical Society
CY  - College Park
ER  - 
TY  - JOUR
A1  - Prosen, Tomaz
T1  - Complexity and nonseparability of classical Liouvillian dynamics
JF  - Physical review : E, Statistical, nonlinear and soft matter physics
N2  - 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.
Y1  - 2011
U6  - https://doi.org/10.1103/PhysRevE.83.031124
SN  - 1539-3755
VL  - 83
IS  - 3
PB  - American Physical Society
CY  - College Park
ER  -