Timeline for Norm of a jump operator
Current License: CC BY-SA 4.0
7 events
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May 7 at 9:41 | comment | added | Frederik vom Ende | The requirement of the $L_k$ being bounded as linear operators (which is trivially satisfied in finite dimensions) is equivalent to the resulting dynamics being uniformly continuous (in $t$), while unbounded operators correspond to "just" strong continuouity. But even in the uniformly continuous case there is no universal bound on the norms (i.e. there is no such thing as "it must hold that $\|L_k\|\leq 1$ for all $k$") as the answer below rightly shows. | |
Apr 13, 2023 at 19:50 | vote | accept | Jon Megan | ||
Apr 13, 2023 at 8:47 | comment | added | AwkwardWhale | See for example this tutorial arxiv.org/pdf/1110.2122.pdf the choice of jump operator comes from which system operators interact with the bath. In practice these are often something like Pauli matrices for spin dephasing, transition operators for spontaneous decay, or creation and annihkiation operators for photonic cavity loss and gain | |
Apr 13, 2023 at 4:37 | history | edited | Qmechanic♦ |
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Apr 13, 2023 at 1:01 | answer | added | Quantum Mechanic | timeline score: 4 | |
Apr 13, 2023 at 1:01 | history | edited | Quantum Mechanic | CC BY-SA 4.0 |
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Apr 13, 2023 at 0:01 | history | asked | Jon Megan | CC BY-SA 4.0 |