Quantum jump method
Quantum jump method
The quantum jump method, also known as the Monte Carlo wave function method, is a technique in computational physics used for simulating quantum systems coupled to the environment. The quantum jump method is equivalent to the master-equation treatment, but operates on the wave function rather than the density matrix. The essence of the algorithm is evolving the system's wave function in time with a pseudo-Hamiltonian; at each point in time, a quantum jump (discontinuous change) may take place with some probability. Since the number of wave function components is smaller than the number of density matrix components (by a factor of the dimension of the Hilbert space), for certain problems the quantum jump method offers a performance advantage over direct master-equation approaches.[1]
History
The quantum jump method was simultaneously developed by Carmichael[2] and Dalibard, Castin and Mølmer.[3] Other contemporaneous works on wave-function-based Monte Carlo approaches to open quantum systems include those of Dum, Zoller and Ritsch[4] and Hegerfeldt and Wilser.[5]
Further reading
An early overview of the method is provided by Mølmer, Castin and Dalibard.[1] For a more recent and complete discussion, see the review by Plenio and Knight.[6]
References
- ^ a b Attention: This template ({{cite doi}}) is deprecated. To cite the publication identified by doi:10.1364/JOSAB.10.000524, please use {{cite journal}} (if it was published in a bona fide academic journal, otherwise {{cite report}} with
|doi=10.1364/JOSAB.10.000524instead. - ^ Carmichael, Howard (1993). An Open Systems Approach to Quantum Optics. Springer-Verlag. ISBN 9780387566344.
- ^ Attention: This template ({{cite doi}}) is deprecated. To cite the publication identified by doi:10.1103/PhysRevLett.68.580, please use {{cite journal}} (if it was published in a bona fide academic journal, otherwise {{cite report}} with
|doi=10.1103/PhysRevLett.68.580instead. - ^ Attention: This template ({{cite doi}}) is deprecated. To cite the publication identified by doi:10.1103/PhysRevA.45.4879, please use {{cite journal}} (if it was published in a bona fide academic journal, otherwise {{cite report}} with
|doi=10.1103/PhysRevA.45.4879instead. - ^ Hegerfeldt, G. C.; Wilser, T. S. (1992). "Classical and Quantum Systems". Proceedings of the Second International Wigner Symposium. World Scientific.
- ^ Attention: This template ({{cite doi}}) is deprecated. To cite the publication identified by doi:10.1103/RevModPhys.70.101, please use {{cite journal}} (if it was published in a bona fide academic journal, otherwise {{cite report}} with
|doi=10.1103/RevModPhys.70.101instead.
Category:Quantum mechanics
Category:Computational physics
Category:Monte Carlo methods
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