Physics:Quantum Trajectories - Revision history

WikiHarold: Restore missing Quantum reference definitions

2026-05-24T00:31:33Z

Restore missing Quantum reference definitions

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	Each trajectory corresponds to a possible physical realization of the system’s evolution.<ref name="WisemanMilburn" />		Each trajectory corresponds to a possible physical realization of the system’s evolution.<ref name="WisemanMilburn">{{cite book \|last=Wiseman\|first=H. M.\|last2=Milburn\|first2=G. J.\|title=Quantum Measurement and Control\|publisher=Cambridge University Press\|year=2010\|doi=10.1017/CBO9780511813948\|url=https://www.cambridge.org/core/books/quantum-measurement-and-control/F78F445CD9AF00B10593405E9BAC6B9F
			}}</ref>

	== Connection to Lindblad equation ==		== Connection to Lindblad equation ==
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	can be represented as stochastic evolution of pure states.<ref name="PlenioKnight1998" />		can be represented as stochastic evolution of pure states.<ref name="PlenioKnight1998">{{cite journal \|last=Plenio \|first=M. B. \|last2=Knight \|first2=P. L. \|title=The quantum-jump approach to dissipative dynamics in quantum optics \|journal=Reviews of Modern Physics \|volume=70 \|pages=101–144 \|year=1998 \|url=https://link.aps.org/doi/10.1103/RevModPhys.70.101 \|doi=10.1103/RevModPhys.70.101}}</ref>

	=== Physical meaning ===		=== Physical meaning ===
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	This produces non-unitary evolution.<ref name="Dalibard1992" />		This produces non-unitary evolution.<ref name="Dalibard1992">{{cite journal \|last=Dalibard \|first=J. \|last2=Castin \|first2=Y. \|last3=Mølmer \|first3=K. \|title=Wave-function approach to dissipative processes in quantum optics \|journal=Physical Review Letters \|volume=68 \|pages=580–583 \|year=1992 \|url=https://journals.aps.org/prl/abstract/10.1103/PhysRevLett.68.580 \|doi=10.1103/PhysRevLett.68.580}}</ref>

	=== Jump process ===		=== Jump process ===
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	{{#invoke:PhysicsQC\|tocHeadingAndList\|Physics:Quantum basics/See also}}		{{#invoke:PhysicsQC\|tocHeadingAndList\|Physics:Quantum basics/See also}}

	=References=		= References =
	{{reflist\|3}}		{{reflist\|3}}

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2026-05-22T11:33:21Z

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	{{Quantum article nav\|previous=Physics:Quantum Non-Markovian dynamics\|previous label=Non-Markovian dynamics\|next=Physics:Quantum field theory (QFT) basics\|next label=Field theory (QFT) basics}}		{{Quantum article nav\|previous=Physics:Quantum Non-Markovian dynamics\|previous label=Non-Markovian dynamics\|next=Physics:Quantum field theory (QFT) basics\|next label=Field theory (QFT) basics}}

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Maintenance script: Clean Book label remnants and backlink spacing

2026-05-22T11:11:40Z

Clean Book label remnants and backlink spacing

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2026-05-22T11:03:52Z

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	{{Quantum book backlink\|Open quantum systems}}		{{Quantum book backlink\|Open quantum systems}}

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2026-05-22T10:48:55Z

Clean Short description prefix and add Book I label

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	{{Quantum book backlink\|Open quantum systems}}		{{Quantum book backlink\|Open quantum systems}}

Maintenance script: Apply continuous Quantum previous-next navigation

2026-05-20T12:35:59Z

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	{{Quantum book backlink\|Open quantum systems}}		{{Quantum book backlink\|Open quantum systems}}
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2026-05-20T12:25:51Z

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Maintenance script: Improve Book I intro quality

2026-05-20T09:04:48Z

Improve Book I intro quality

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	'''Trajectories''' ~~is a Book I topic in the Quantum Collection. Quantum~~ trajectories the stochastic time evolution of individual quantum systems interacting with an environment or undergoing continuous measurement. A representation of open quantum dynamics in terms of random pure-state evolutions instead of deterministic density matrix evolution. This approach is also known as the quantum jump method or stochastic unraveling of the master equation. Quantum trajectories the stochastic time evolution of individual quantum systems interacting with an environment or undergoing continuous measurement~~. A representation of open quantum dynamics in terms of random pure-state evolutions instead of deterministic density matrix evolution.{{cite book \|last=Wiseman\|first=H~~. J.\|title=Quantum Measurement and Control\|publisher=Cambridge University Press\|year=2010\|doi=10.1017/CBO9780511813948\|url=https://www.cambridge.org/core/books/quantum-measurement-and-control/F78F445CD9AF00B10593405E9BAC6B9F This approach is also known as the quantum jump method or stochastic unraveling of the master equation.		'''Trajectories''' quantum trajectories the stochastic time evolution of individual quantum systems interacting with an environment or undergoing continuous measurement. A representation of open quantum dynamics in terms of random pure-state evolutions instead of deterministic density matrix evolution. This approach is also known as the quantum jump method or stochastic unraveling of the master equation. Quantum trajectories the stochastic time evolution of individual quantum systems interacting with an environment or undergoing continuous measurement. J.\|title=Quantum Measurement and Control\|publisher=Cambridge University Press\|year=2010\|doi=10.1017/CBO9780511813948\|url=https://www.cambridge.org/core/books/quantum-measurement-and-control/F78F445CD9AF00B10593405E9BAC6B9F This approach is also known as the quantum jump method or stochastic unraveling of the master equation. The density operator is recovered as an average over trajectories: Each trajectory corresponds to a possible physical realization of the system’s evolution.
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Maintenance script: Clean Book I red links, intro, and image slots

2026-05-20T08:16:10Z

Clean Book I red links, intro, and image slots

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	'''~~Quantum trajectories~~''' the stochastic time evolution of individual quantum systems interacting with an environment or undergoing continuous measurement. A representation of open quantum dynamics in terms of random pure-state evolutions instead of deterministic density matrix evolution.~~<ref name="WisemanMilburn">~~{{cite book \|last=Wiseman\|first=H~~. M.\|last2=Milburn\|first2=G~~. J.\|title=Quantum Measurement and Control\|publisher=Cambridge University Press\|year=2010\|doi=10.1017/CBO9780511813948\|url=https://www.cambridge.org/core/books/quantum-measurement-and-control/F78F445CD9AF00B10593405E9BAC6B9F		'''Trajectories''' is a Book I topic in the Quantum Collection. Quantum trajectories the stochastic time evolution of individual quantum systems interacting with an environment or undergoing continuous measurement. A representation of open quantum dynamics in terms of random pure-state evolutions instead of deterministic density matrix evolution. This approach is also known as the quantum jump method or stochastic unraveling of the master equation. Quantum trajectories the stochastic time evolution of individual quantum systems interacting with an environment or undergoing continuous measurement. A representation of open quantum dynamics in terms of random pure-state evolutions instead of deterministic density matrix evolution.{{cite book \|last=Wiseman\|first=H. J.\|title=Quantum Measurement and Control\|publisher=Cambridge University Press\|year=2010\|doi=10.1017/CBO9780511813948\|url=https://www.cambridge.org/core/books/quantum-measurement-and-control/F78F445CD9AF00B10593405E9BAC6B9F This approach is also known as the quantum jump method or stochastic unraveling of the master equation.
	}}</ref><ref name="Dalibard1992">{{cite journal \|last=Dalibard \|first=J. \|last2=Castin \|first2=Y. \|last3=Mølmer \|first3=K. \|title=Wave-function approach to dissipative processes in quantum optics \|journal=Physical Review Letters \|volume=68 \|pages=580–583 \|year=1992 \|url=https://journals.aps.org/prl/abstract/10.1103/PhysRevLett.68.580 \|doi=10.1103/PhysRevLett.68.580}}</ref>
	This approach is also known as the ~~'''~~quantum jump method~~'''~~ or ~~'''~~stochastic unraveling~~'''~~ of the master equation.<ref name="PlenioKnight1998">{{cite journal \|last=Plenio \|first=M. B. \|last2=Knight \|first2=P. L. \|title=The quantum-jump approach to dissipative dynamics in quantum optics \|journal=Reviews of Modern Physics \|volume=70 \|pages=101–144 \|year=1998 \|url=https://link.aps.org/doi/10.1103/RevModPhys.70.101 \|doi=10.1103/RevModPhys.70.101}}</ref>
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Maintenance script: Normalize Book I Quantum page structure

2026-05-19T22:50:16Z

Normalize Book I Quantum page structure

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	{{Author\|Harold Foppele}}		{{Author\|Harold Foppele}}

	{{Sourceattribution\|Quantum Trajectories\|1}}		{{Sourceattribution\|Physics:Quantum Trajectories\|1}}

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	{{Quantum article nav\|previous=Physics:Quantum Non-Markovian dynamics\|previous label=Non-Markovian dynamics\|next=Physics:Quantum field theory (QFT) basics\|next label=Field theory (QFT) basics}}		{{Quantum article nav\|previous=Physics:Quantum Non-Markovian dynamics\|previous label=Non-Markovian dynamics\|next=Physics:Quantum field theory (QFT) basics\|next label=Field theory (QFT) basics}}