A quantum-trajectory unravelling represents a Lindblad equation as an ensemble of stochastic pure-state histories. In one jump unravelling, a state evolves between jumps under the non-Hermitian effective Hamiltonian , while a jump of type sends it to a normalized multiple of .
A pure stationary state is dark when every jump operator acts on it as a scalar, after an allowed shift of the jump operators, and the corresponding effective Hamiltonian preserves its ray. Every trajectory that reaches such a state remains on that same ray.
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Quantum Trajectory Theory, also known as Quantum Jumps or Quantum Trajectories, is a theoretical framework used to describe the dynamics of quantum systems under the influence of measurements, decoherence, and noise. It provides a way to understand the evolution of quantum states in a more intuitive manner compared to traditional approaches.