TY  - JOUR
A1  - Prosen, Tomaz
T1  - Complexity and nonseparability of classical Liouvillian dynamics
T2  - 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
UR  - https://publishup.uni-potsdam.de/frontdoor/index/index/docId/36956
SN  - 1539-3755
VL  - 83
IS  - 3
PB  - American Physical Society
CY  - College Park
ER  -