Timeline for Lieb-Robinson Bound for bosonic systems
Current License: CC BY-SA 4.0
7 events
| when toggle format | what | by | license | comment | |
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| Jan 24, 2021 at 12:49 | comment | added | Norbert Schuch | @zeldredge I didn't mean something too specific. One would have to look up the mathematical literature on bosonic systems to see what suitable bounds look like. You could also imagine that you impose a constraint that the expectation value of the energy per site is bounded: This would be local yet not impose a cutoff. Finally, for a "good" LR-bound you would like the speed to be independent of the cutoff, which is not the case if you truncate the Fock space. | |
| Jan 24, 2021 at 12:42 | comment | added | zeldredge | Sorry, I misread/read too fast and see now that by "the energy" in the last paragraph you mean the total system energy rather than the the number of bosons on a single site. | |
| Jan 23, 2021 at 21:58 | comment | added | Norbert Schuch | @zeldredge What is "energy/$n$"? And what do you mean by "boson->spin" mapping? The numbers of bosons in a mode (an this is what we are talking about - a lattice of harmonic oscillators) is unbounded. I don't see how you would map this to spins. Of course, if you bound the number of bosons per mode, then you can map back to spins and recover some LR-bound (which, unfortunately, will depend on the cutoff). | |
| Jan 23, 2021 at 21:28 | comment | added | zeldredge | If the energy/$n$ is bounded, doesn't using a boson->spin mapping recover the original Lieb-Robinson bound? | |
| Jan 22, 2021 at 12:54 | comment | added | More Anonymous | Thank you for your super swift answer. I'm just going through all the links. | |
| Jan 22, 2021 at 12:53 | vote | accept | More Anonymous | ||
| Jan 22, 2021 at 12:47 | history | answered | Norbert Schuch | CC BY-SA 4.0 |