Quantum jump method: Difference between revisions

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'''Quantum jump method'''

The quantum jump method, also known as the [[Monte Carlo method|Monte Carlo]] wave function method, is a technique in [[computational physics]] used for simulating [[open quantum system|quantum systems coupled to the environment]]. The quantum jump method is equivalent to the [[Lindblad equation|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#Quantum mechanics|Hilbert space]]), for certain problems the quantum jump method offers a performance advantage over direct master-equation approaches.<ref name=MCD1993>{{Cite doi|10.1364/JOSAB.10.000524}}</ref>

== History ==

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<!-- Sections to be written: Algorithm; Equivalence to master equation treatment (maybe); Applications -->

== Further reading ==

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[[:Category:Quantum mechanics]]

[[:Category:Computational physics]]

[[:Category:Monte Carlo methods]]

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