Dissipation and decoherence for generic open quantum systems

Understand

We study generic open quantum systems with Markovian dissipation, focusing on a class of stochastic Liouvillian operators of Lindblad form with independent random dissipation channels (jump operators) and a random Hamiltonian.

• We perform a thorough numerical study, focusing on global spectral features, the spectral gap, and the steady-state purity and statistics.
• We establish that all properties follow three different regimes as a function of the dissipation strength, whose boundaries depend on the particular observable.
• Within each regime, we determine the scaling exponents with the dissipation strength and system size.