Evolutional entanglement production
V.I. Yukalov, E.P. Yukalova
TL;DR
This paper introduces the concept of evolutional entanglement production, analyzing how entanglement generated by the evolution operator varies over time in spin systems, showing initial quadratic growth and subsequent oscillations.
Contribution
It defines and analyzes evolutional entanglement production in spin systems, highlighting its time-dependent behavior and dependence on system parameters.
Findings
Initial entanglement production grows quadratically with time.
Long-term entanglement oscillates periodically or quasiperiodically.
Behavior depends on specific system parameters.
Abstract
Evolutional entanglement production is defined as the amount of entanglement produced by the evolution operator. This quantity is analyzed for systems whose Hamiltonians are characterized by spin operators. The evolutional entanglement production at the initial stage grows quadratically in time. For longer times, it oscillates, being quasiperiodic or periodic depending on the system parameters.
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