Дата и място: Вторник, 27.01.2026 г., 13:00 ч., Зала 403, ИМИ – БАН

Докладчик: Jean-Pierre Gazeau (Université Paris Cité, CNRS, and University of Białystok)

Заглавие: Spectral and angular variables for open qudit dynamics

Abstract:  In this talk, I introduce a parametrization of finite-dimensional quantum states that is particularly adapted to the study of open qudit dynamics. Any generic density matrix in Cn can be described by separating spectral variables, which encode the eigenvalue content, from angular variables associated with the unitary degrees of freedom. These angular variables naturally live on the coset space SU(n)/T, in the spirit of the Tilma–Sudarshan construction.
A key outcome of this parametrization is a partial decoupling of the GKLS evolution: while the angular variables are driven by both the Hamiltonian and the dissipative contributions, the spectral variables evolve under the dissipative part only. This separation provides a transparent geometric picture of decoherence and dissipation. Simple examples for qubits and qutrits are discussed, together with an alternative, geometrically motivated notion of purity expressed solely in terms of the spectral variables in a linear way.

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