Linear and integrable nonlinear evolution of the qutrit

• URL: http://arxiv.org/abs/2006.10322v1
• Date: Thu, 18 Jun 2020 07:25:19 GMT
• Title: Linear and integrable nonlinear evolution of the qutrit
• Authors: Krzysztof Kowalski
• Abstract summary: The analyzed dynamics of the qutrit is rich and includes quasiperiodic motion, multiple equilibria and limit cycles. The generalization of the von Neumann equation preserving convexity of the state space is studied in the nontrivial case of the qutrit.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: The nonlinear generalization of the von Neumann equation preserving convexity of the state space is studied in the nontrivial case of the qutrit. This equation can be cast into the integrable classical Riccati system of nonlinear ordinary differential equations. The solutions of such system are investigated in both the linear case corresponding to the standard von Neumann equation and the nonlinear one referring to the generalization of this equation. The analyzed dynamics of the qutrit is rich and includes quasiperiodic motion, multiple equilibria and limit cycles.

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