Seminarium KMMF "Teoria Dwoistości"

This talk presents a bridge between bi-Hamiltonian systems, contact Hamiltonian dynamics, and the GKSL formalism for open quantum systems. On the classical side, the invariants of a bi-Hamiltonian system are lifted to an exact symplectic manifold and projected onto a contact manifold, yielding a completely integrable contact Hamiltonian system. On the quantum side, we introduce contact-compatible Lindblad generators: GKSL evolutions whose dissipative part preserves the commutative algebra generated by the quantized dissipated quantities, and whose Hamiltonian part admits an Egorov-type semiclassical limit to the contact dynamics. This construction provides a mathematical mechanism for pure dephasing, compatible with integrability and contact dissipation. An explicit example inspired by the Euler top illustrates the resulting bi-Lindblad structure and its semiclassical behaviour. Joint work with Leonardo Colombo.To attend our online seminar please use the Zoom identificator:https://us02web.zoom.us/j/8145917621?pwd=bVVKend0SHFKNUNyUUQ4cWNRK3laZz09