Аннотация:
This talk deals with intermode-interaction-induced effects in dynamics of open multi-mode photonic systems representing a family of continuous variable systems whose density matrix dynamics is governed by the master equation of the Lindblad form (the so-called Gorini-Kossakowski-Sudarshan-Lindblad master equation). We briefly discuss two analytical techniques to perform theoretical analysis of the Lindblad dynamics complicated by intermode couplings: (a) an algebraic approach based on the algebra of bilinear superoperators recently suggested in [Gaidash et al., arXiv:2412.13890[quant-phys]] and (b) the method of characteristic functions. We employ exact solution of the thermal bath Lindblad master equation with the Liouvillian superoperator that takes into account both dynamic (coherent) and environment induced (incoherent) intermode couplings to study the speed of evolution and the quantum speed limit (QSL) times of an open multi-mode bosonic system. For Gaussian states, we derive explicit expressions for the evolution speed and the QSL times. General analytical results are applied to the special case of a two-mode system where the intermode couplings can be parametrized using the two intermode coupling vectors: the frequency vector and the relaxation rate vector. For this system, we describe the geometry of Liouvillian exceptional points in the space of these vectors and present a number of numerical results on evolution of Gaussian (two-mode squeezed states) and non-Gaussian (polarization qubit states) states.
