Physics:Quantum Markovian dynamics - Revision history

WikiHarold: Restore missing Quantum reference definitions

2026-05-24T00:31:14Z

Restore missing Quantum reference definitions

← Older revision		Revision as of 00:31, 24 May 2026
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	This neglects system–environment correlations.		This neglects system–environment correlations.

	Together, these assumptions lead to a time-local master equation.<ref name="MIT_OCW" />		Together, these assumptions lead to a time-local master equation.<ref name="MIT_OCW">{{cite web \|url=https://ocw.mit.edu/courses/22-51-quantum-theory-of-radiation-interactions-fall-2012/resources/mit22_51f12_ch8/ \|title=22.51 Course Notes, Chapter 8: Open Quantum Systems \|website=MIT OpenCourseWare \|access-date=2026-04-12}}</ref>

	== Dynamical behavior ==		== Dynamical behavior ==
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	== Physical significance ==		== Physical significance ==

	Markovian quantum dynamics provide a simplified but powerful description of open quantum systems. They capture the essential features of irreversible processes and form the foundation of the Lindblad formalism.<ref name="BreuerBook" />		Markovian quantum dynamics provide a simplified but powerful description of open quantum systems. They capture the essential features of irreversible processes and form the foundation of the Lindblad formalism.<ref name="BreuerBook">{{cite book \|last=Breuer \|first=H.-P. \|last2=Petruccione \|first2=F. \|title=The Theory of Open Quantum Systems \|publisher=Oxford University Press \|year=2002}}</ref>

	They represent the standard approximation for describing decoherence and dissipation in many physical systems.		They represent the standard approximation for describing decoherence and dissipation in many physical systems.
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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}}

Maintenance script: Normalize quantum page header order

2026-05-22T11:33:19Z

Normalize quantum page header order

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	{{Quantum book backlink\|Open quantum systems}}		{{Quantum book backlink\|Open quantum systems}}
	{{Quantum article nav\|previous=Physics:Quantum Markov semigroup\|previous label=Markov semigroup\|next=Physics:Quantum Non-Markovian dynamics\|next label=Non-Markovian dynamics}}		{{Quantum article nav\|previous=Physics:Quantum Markov semigroup\|previous label=Markov semigroup\|next=Physics:Quantum Non-Markovian dynamics\|next label=Non-Markovian dynamics}}

	<div style="display:flex; gap:24px; align-items:flex-start; max-width:1200px;">		<div style="display:flex; gap:24px; align-items:flex-start; max-width:1200px;">

Maintenance script: Clean Book label remnants and backlink spacing

2026-05-22T11:11:38Z

Clean Book label remnants and backlink spacing

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	{{Short description\|Quantum Collection topic on Quantum Markovian dynamics}}		{{Short description\|Quantum Collection topic on Quantum Markovian dynamics}}

	{{Quantum book backlink\|Open quantum systems}}		{{Quantum book backlink\|Open quantum systems}}
	{{Quantum article nav\|previous=Physics:Quantum Markov semigroup\|previous label=Markov semigroup\|next=Physics:Quantum Non-Markovian dynamics\|next label=Non-Markovian dynamics}}		{{Quantum article nav\|previous=Physics:Quantum Markov semigroup\|previous label=Markov semigroup\|next=Physics:Quantum Non-Markovian dynamics\|next label=Non-Markovian dynamics}}

Maintenance script: Remove hidden BOM characters and direct Book label after Short description

2026-05-22T11:03:51Z

Remove hidden BOM characters and direct Book label after Short description

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	{{Short description\|Quantum Collection topic on Quantum Markovian dynamics}}~~Book I~~		{{Short description\|Quantum Collection topic on Quantum Markovian dynamics}}

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

Maintenance script: Clean Short description prefix and add Book I label

2026-05-22T10:48:53Z

Clean Short description prefix and add Book I label

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	~~~~{{Short description\|Quantum Collection topic on Quantum Markovian dynamics}}		{{Short description\|Quantum Collection topic on Quantum Markovian dynamics}}Book I

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

Maintenance script: Apply Quantum previous-next navigation

2026-05-20T12:25:48Z

Apply Quantum previous-next navigation

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	{{Short description\|Quantum Collection topic on Quantum Markovian dynamics}}		{{Short description\|Quantum Collection topic on Quantum Markovian dynamics}}

	{{Quantum book backlink\|Open quantum systems}}		{{Quantum book backlink\|Open quantum systems}}
			{{Quantum article nav\|previous=Physics:Quantum Markov semigroup\|previous label=Markov semigroup\|next=Physics:Quantum Non-Markovian dynamics\|next label=Non-Markovian dynamics}}

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Maintenance script: Improve Book I intro quality

2026-05-20T09:04:45Z

Improve Book I intro quality

← Older revision		Revision as of 09:04, 20 May 2026
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	{{Short description\|Quantum Collection topic on Quantum Markovian dynamics}}		{{Short description\|Quantum Collection topic on Quantum Markovian dynamics}}

	{{Quantum book backlink\|Open quantum systems}}		{{Quantum book backlink\|Open quantum systems}}
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	<div style="flex:1; line-height:1.45; color:#006b45; column-count:2; column-gap:32px; column-rule:1px solid #b8d8c8;">		<div style="flex:1; line-height:1.45; color:#006b45; column-count:2; column-gap:32px; column-rule:1px solid #b8d8c8;">
	'''Markovian dynamics''' ~~is a Book I topic in the Quantum Collection. Markovian~~ quantum dynamics describe the time evolution of open quantum systems in the absence of memory effects. In this regime, the future state of the system depends only on its present state and not on its past history. This approximation is widely used in quantum optics, quantum information, and condensed matter physics. Markovian quantum dynamics describe the time evolution of open quantum systems in the absence of memory effects. In this regime, the future state of the system depends only on its present state and not on its past history. This approximation is widely used in quantum optics, quantum information, and condensed matter physics. ~~A quantum process is Markovian if~~ the evolution ~~of the density operator \rho(t) is governed by a time-local equation: Here \mathcal{L} is a generator that does not depend on the past history of the system~~.		'''Markovian dynamics''' markovian quantum dynamics describe the time evolution of open quantum systems in the absence of memory effects. In this regime, the future state of the system depends only on its present state and not on its past history. This approximation is widely used in quantum optics, quantum information, and condensed matter physics. Markovian quantum dynamics describe the time evolution of open quantum systems in the absence of memory effects. In this regime, the future state of the system depends only on its present state and not on its past history. This approximation is widely used in quantum optics, quantum information, and condensed matter physics. This reflects the absence of memory and ensures consistent forward evolution.
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Maintenance script: Clean Book I red links, intro, and image slots

2026-05-20T08:16:07Z

Clean Book I red links, intro, and image slots

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	'''Markovian ~~quantum~~ dynamics''' describe the time evolution of open quantum systems in the absence of memory effects. In this regime, the future state of the system depends only on its present state and not on its past history.~~<ref name="BreuerBook">{{cite book \|last=Breuer \|first=H~~.~~-P. \|last2=Petruccione \|first2=F. \|title=The Theory~~ of ~~Open Quantum Systems \|publisher=Oxford University Press \|year=2002}}</ref><ref name="MIT_OCW">{{cite web \|url=https://ocw.mit.edu/courses/22-51-~~quantum~~-theory-~~of~~-radiation-interactions-fall-2012/resources/mit22_51f12_ch8/ \|title=22~~.~~51 Course Notes~~, ~~Chapter 8: Open Quantum Systems \|website=MIT OpenCourseWare \|access-date=2026-04-12}}</ref>~~		'''Markovian dynamics''' is a Book I topic in the Quantum Collection. Markovian quantum dynamics describe the time evolution of open quantum systems in the absence of memory effects. In this regime, the future state of the system depends only on its present state and not on its past history. This approximation is widely used in quantum optics, quantum information, and condensed matter physics. Markovian quantum dynamics describe the time evolution of open quantum systems in the absence of memory effects. In this regime, the future state of the system depends only on its present state and not on its past history. This approximation is widely used in quantum optics, quantum information, and condensed matter physics. A quantum process is Markovian if the evolution of the density operator \rho(t) is governed by a time-local equation: Here \mathcal{L} is a generator that does not depend on the past history of the system.
	This approximation is widely used in quantum optics, quantum information, and condensed matter physics.
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Maintenance script: Normalize Book I Quantum page structure

2026-05-19T22:50:14Z

Normalize Book I Quantum page structure

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

	{{Sourceattribution\|Markovian ~~quantum~~ dynamics\|1}}		{{Sourceattribution\|Physics:Quantum Markovian dynamics\|1}}

Harold: Clean Quantum header BOM and legacy backlink

2026-05-17T22:04:55Z

Clean Quantum header BOM and legacy backlink

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	{{Short description\|Quantum Collection topic on Quantum Markovian dynamics}}		{{Short description\|Quantum Collection topic on Quantum Markovian dynamics}}

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← Older revision		Revision as of 11:11, 22 May 2026
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	{{Short description\|Quantum Collection topic on Quantum Markovian dynamics}}		{{Short description\|Quantum Collection topic on Quantum Markovian dynamics}}

	{{Quantum book backlink\|Open quantum systems}}		{{Quantum book backlink\|Open quantum systems}}
	{{Quantum article nav\|previous=Physics:Quantum Markov semigroup\|previous label=Markov semigroup\|next=Physics:Quantum Non-Markovian dynamics\|next label=Non-Markovian dynamics}}		{{Quantum article nav\|previous=Physics:Quantum Markov semigroup\|previous label=Markov semigroup\|next=Physics:Quantum Non-Markovian dynamics\|next label=Non-Markovian dynamics}}