Physics:Quantum dissipation - Revision history

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	===Energy dissipation in Hamiltonian formalism===		===Energy dissipation in Hamiltonian formalism===

	A different approach to describe energy dissipation is to consider time dependent Hamiltonians. Against a common misunderstanding, the resulting unitary dynamics can describe energy dissipation, as certain degrees of freedom loose energy and others gain energy.<ref>{{cite journal\|last1=Gruebele\|first1=M.\|last2=Wong\|first2=V.\|title=Sub-exponential spin-boson decoherence in a finite bath\|journal=Chemical Physics\|volume=284\|year=2002\|issue=1–2\|pages=29–44\|doi=10.1016/S0301-0104(02)00534-7\|bibcode=2002CP....284...29W }}</ref> However, the quantum mechanical state of the system stays [[Physics:Quantum state#Pure states\|pure]], thus such an approach can not describe dephasing unless a subsystem is chosen and the reduced density matrix of this open quantum system is analyzed.<ref>{{cite journal\|last1=Gruebele\|first1=M.\|last2=Wong\|first2=V.\|title=Nonexponential dephasing in a local random matrix model\|journal=Physical Review A\|volume=63\|year=2001\|issue=2\|article-number=22502\|doi=10.1103/PhysRevA.63.022502\|bibcode=2001PhRvA..63b2502W }}</ref> Dephasing leads to [[Physics:Quantum decoherence\|quantum decoherence]] or information dissipation and is often important when describing open quantum systems. However, this approach is typically used e.g. in the description of optical experiments. There a light pulse (described by a time dependent semi-classical Hamiltonian) can change the energy in the system by stimulated absorption or emission.		A different approach to describe energy dissipation is to consider time dependent Hamiltonians. Against a common misunderstanding, the resulting unitary dynamics can describe energy dissipation, as certain degrees of freedom loose energy and others gain energy.<ref>{{cite journal\|last1=Gruebele\|first1=M.\|last2=Wong\|first2=V.\|title=Sub-exponential spin-boson decoherence in a finite bath\|journal=Chemical Physics\|volume=284\|year=2002\|issue=1–2\|pages=29–44\|doi=10.1016/S0301-0104(02)00534-7\|bibcode=2002CP....284...29W }}</ref> However, the quantum mechanical state of the system stays [[Physics:Quantum state#Pure states\|pure]], thus such an approach can not describe dephasing unless a subsystem is chosen and the reduced density matrix of this open quantum system is analyzed.<ref>{{cite journal\|last1=Gruebele\|first1=M.\|last2=Wong\|first2=V.\|title=Nonexponential dephasing in a local random matrix model\|journal=Physical Review A\|volume=63\|year=2001\|issue=2\|article-number=22502\|doi=10.1103/PhysRevA.63.022502\|bibcode=2001PhRvA..63b2502W }}</ref> Dephasing leads to [[Physics:Quantum decoherence\|quantum decoherence]] or information dissipation and is often important when describing open quantum systems. However, this approach is typically used e.g. in the description of optical experiments. There a light pulse (described by a time dependent semi-classical Hamiltonian) can change the energy in the system by stimulated absorption or emission.
	~~==See also==~~
	* Dissipation model for extended environment
	* Jaynes–Cummings model
	* Open quantum system
	* Lindblad equation
	* [[Physics:Quantum decoherence\|Quantum decoherence]]
	* Dephasing

	== See also ==		== See also ==

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	{{Short description\|Dissipation in quantum systems}}~~Book I~~		{{Short description\|Dissipation in quantum systems}}

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	'''dissipation''' ~~is a Book I topic in the Quantum Collection. Quantum~~ dissipation is the branch of physics that studies the quantum analogues of the process of irreversible loss of energy observed at the classical level. Its main purpose is to derive the laws of classical dissipation from the framework of quantum mechanics. It shares many features with the subjects of quantum decoherence and quantum theory of measurement. Quantum dissipation is the branch of physics that studies the quantum analogues of the process of irreversible loss of energy observed at the classical level. Its main purpose is to derive the laws of classical dissipation from the framework of quantum mechanics. It shares many features with the subjects of quantum decoherence and quantum theory of measurement.		'''dissipation''' quantum dissipation is the branch of physics that studies the quantum analogues of the process of irreversible loss of energy observed at the classical level. Its main purpose is to derive the laws of classical dissipation from the framework of quantum mechanics. It shares many features with the subjects of quantum decoherence and quantum theory of measurement. Quantum dissipation is the branch of physics that studies the quantum analogues of the process of irreversible loss of energy observed at the classical level. Its main purpose is to derive the laws of classical dissipation from the framework of quantum mechanics. It shares many features with the subjects of quantum decoherence and quantum theory of measurement. The typical approach to describe dissipation is to split the total system in two parts: the quantum system where dissipation occurs, and a so-called environment or bath into which the energy of the former will flow.
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	* [[Physics:Quantum decoherence\|Quantum decoherence]]		* [[Physics:Quantum decoherence\|Quantum decoherence]]
	* [[Physics:Dephasing\|Dephasing]]		* [[Physics:Dephasing\|Dephasing]]

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

	==References==		==References==
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	[[Category:Quantum mechanics]]		[[Category:Quantum mechanics]]

	{{Sourceattribution\|Quantum dissipation}}		{{Author\|Harold Foppele}}

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

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