Difference between revisions of "Optical Bloch equations"
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Until now, our discussion has primarily been about closed quantum systems, which evolve unitarily. Specifically, we considered single and multiple component systems, such as atoms and photons, but we kept every part, and never threw anything away. However, in real systems, we often want to be able to disregard certain microscopic dynamics, or do not have access to certain parts of a system. For example, we may want to cool an atom, but will not keep track of the microscopic state of the cooling laser beam after it has interacted with the atom. Or an atom may interact with the vacuum, emitting a photon which we do not track. The study of such topics is the subject of open quantum system dynamics. This chapter begins our investigation of open quantum systems, with the goal of developing a fully quantum-mechanical model of an atom undergoing spontaneous emission, while interacting with a classical electromagnetic field. | Until now, our discussion has primarily been about closed quantum systems, which evolve unitarily. Specifically, we considered single and multiple component systems, such as atoms and photons, but we kept every part, and never threw anything away. However, in real systems, we often want to be able to disregard certain microscopic dynamics, or do not have access to certain parts of a system. For example, we may want to cool an atom, but will not keep track of the microscopic state of the cooling laser beam after it has interacted with the atom. Or an atom may interact with the vacuum, emitting a photon which we do not track. The study of such topics is the subject of open quantum system dynamics. This chapter begins our investigation of open quantum systems, with the goal of developing a fully quantum-mechanical model of an atom undergoing spontaneous emission, while interacting with a classical electromagnetic field. | ||
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| + | <categorytree mode=pages style="float:right; clear:right; margin-left:1ex; border:1px solid gray; padding:0.7ex; background-Until now, our discussion has primarily been about closed quantum systems, which evolve unitarily. Specifically, we considered single and multiple component systems, such as atoms and photons, but we kept every part, and never threw anything away. However, in real systems, we often want to be able to disregard certain microscopic dynamics, or do not have access to certain parts of a system. For example, we may want to cool an atom, but will not keep track of the microscopic state of the cooling laser beam after it has interacted with the atom. Or an atom may interact with the vacuum, emitting a photon which we do not track. The study of such topics is the subject of open quantum system dynamics. This chapter begins our investigation of open quantum systems, with the goal of developing a fully quantum-mechanical model of an atom undergoing spontaneous emission, while interacting with a classical electromagnetic field. | ||
<categorytree mode=pages style="float:right; clear:right; margin-left:1ex; border:1px solid gray; padding:0.7ex; background-color:white;" hideprefix=auto>8.422</categorytree> | <categorytree mode=pages style="float:right; clear:right; margin-left:1ex; border:1px solid gray; padding:0.7ex; background-color:white;" hideprefix=auto>8.422</categorytree> | ||
* [[Derivation of the optical Bloch equations]] ([http://cua.mit.edu/8.422/HANDOUTS/chapter4-obe-part-1.pdf 2007 pdf] | [http://cua.mit.edu/wikipost/20090302-221816/MIT-8422-lecture-8-derivation-of-optical-bloch-equations-chuang-v1a-02mar09.pdf 2009 pdf]) | * [[Derivation of the optical Bloch equations]] ([http://cua.mit.edu/8.422/HANDOUTS/chapter4-obe-part-1.pdf 2007 pdf] | [http://cua.mit.edu/wikipost/20090302-221816/MIT-8422-lecture-8-derivation-of-optical-bloch-equations-chuang-v1a-02mar09.pdf 2009 pdf]) | ||
| − | * [[Solutions of the optical Bloch equations]] ([http://cua.mit.edu/8.422/HANDOUTS/chapter4-obe-part-2.pdf 2007 pdf]) | + | * [[Solutions of the optical Bloch equations]] ([http://cua.mit.edu/8.422/HANDOUTS/chapter4-obe-part-2.pdf 2007 pdf] | [http://cua.mit.edu/8.422/HANDOUTS/MIT-8422-lecture-9-solutions-to-obe-and-purcell-effect-04mar09.pdf 2009 pdf]) |
| − | * [[Unraveling quantum open system dynamics]] ([http://cua.mit.edu/8.422/HANDOUTS/chapter4-obe-part-3.pdf 2007 pdf]) | + | * [[Unraveling quantum open system dynamics]] ([http://cua.mit.edu/8.422/HANDOUTS/chapter4-obe-part-3.pdf 2007 pdf] | [http://feynman.mit.edu/8.422/MIT-8422-lecture-10-unraveling-open-quantum-system-dynamics-09mar09.pdf 2009 pdf]) |
| − | * [[The operator sum representation | + | * [[The operator sum representation of open quantum system dynamics]] |
== Handouts == | == Handouts == | ||
Latest revision as of 13:35, 10 March 2009
Until now, our discussion has primarily been about closed quantum systems, which evolve unitarily. Specifically, we considered single and multiple component systems, such as atoms and photons, but we kept every part, and never threw anything away. However, in real systems, we often want to be able to disregard certain microscopic dynamics, or do not have access to certain parts of a system. For example, we may want to cool an atom, but will not keep track of the microscopic state of the cooling laser beam after it has interacted with the atom. Or an atom may interact with the vacuum, emitting a photon which we do not track. The study of such topics is the subject of open quantum system dynamics. This chapter begins our investigation of open quantum systems, with the goal of developing a fully quantum-mechanical model of an atom undergoing spontaneous emission, while interacting with a classical electromagnetic field.
- Derivation of the optical Bloch equations (2007 pdf | 2009 pdf)
- Solutions of the optical Bloch equations (2007 pdf | 2009 pdf)
- Unraveling quantum open system dynamics (2007 pdf | 2009 pdf)
- The operator sum representation of open quantum system dynamics
Handouts
- Also see API p. 369, on Absorbed energy
