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Forums
Physics
Quantum Physics
Jaynes-Cummings Density Operator Evolution
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[QUOTE="kith, post: 6512586, member: 331961"] I think your first set of equations doesn't contain spontaneous emission while the Lindblad equation does. Compare your notes with this: [URL='https://www.ifsc.usp.br/~strontium/Teaching/Material2020-1%20SFI5814%20Atomicamolecular/Anderson%20-%20Monograph%20-%20Bloch%20equations.pdf']https://www.ifsc.usp.br/~strontium/Teaching/Material2020-1 SFI5814 Atomicamolecular/Anderson - Monograph - Bloch equations.pdf[/URL] Generally speaking, the Lindblad equation is used for open quantum systems and includes terms which lead to decoherence and dissipation. If you start with a pure state, this kind of time evolution usually leads to a mixed state. This can't happen under the unitary dynamics of isolated quantum systems which is represented by the first term of the RHS of the Lindblad equation you have written (the commutator term). [/QUOTE]
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Jaynes-Cummings Density Operator Evolution
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