published on July 7, 2026
How to determine the speed and amplitude of the leading edge of a dispersive shock wave
By Sergey Gavrilyuk
By Alain Joye
Appears in collection : 2024 - T1 - WS2 - Driven quantum systems
We consider a time-dependent small quantum system weakly coupled to an environment, whose effective dynamics we address by means of a Lindblad equation. We assume the Hamiltonian part of the Lindbladian is slowly varying in time and the dissipator part has small amplitude. We study the properties of the evolved state of the small system as the adiabatic parameter and coupling constant both go to zero, in various asymptotic regimes.