A stochastic Hamiltonian approach for quantum jumps, spontaneous localizations, and continuous trajectories

@article{Belavkin1996ASH,
  title={A stochastic Hamiltonian approach for quantum jumps, spontaneous localizations, and continuous trajectories},
  author={Viacheslav P. Belavkin and Olaf Melsheimer},
  journal={Quantum and Semiclassical Optics: Journal of The European Optical Society Part B},
  year={1996},
  volume={8},
  pages={167-187}
}
  • V. BelavkinO. Melsheimer
  • Published 1 February 1996
  • Physics
  • Quantum and Semiclassical Optics: Journal of The European Optical Society Part B
We give an explicit stochastic Hamiltonian model of discontinuous unitary evolution for quantum spontaneous jumps like in a system of atoms in quantum optics, or in a system of quantum particles that interacts singularly with `bubbles' which admit a continual counting observation. This model allows one to watch a quantum trajectory in a photodetector or in a cloud chamber by spontaneous localizations of the momenta of the scattered photons or bubbles. Thus, the continuous reduction and… 

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