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Is there any study about the DMRG simulation of such kind of systems?

One-Site coupling

or

Two-Site Coupling

Each blue site is a spin, for example. Only one or several spins on each chain are coupled.

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    $\begingroup$ Are you looking for sth specific? In order to simulate such systems with DMRG a number of ways come to mind (e.g. thinking of this as a 1D system - like a ladder with only 1 or 2 rungs - or using some method based on trees). I'm not sure which of those have been done. $\endgroup$ Commented Aug 23, 2020 at 11:55
  • $\begingroup$ @NorbertSchuch Thank you for the info! I have searched the tree network and there's already quite a bit of research on it! This kind of configuration just pops into my mind when I thinking about the spin-boson model. $\endgroup$
    – Frank
    Commented Aug 25, 2020 at 15:00
  • $\begingroup$ The other option is to just block the two rows, then you have a 1D system. $\endgroup$ Commented Aug 25, 2020 at 16:30
  • $\begingroup$ @NorbertSchuch Would that be less efficient? If the state of the chains is compressed into an MPS (which is suitable for 1-D systems), the MPS will have nearest-neighbor sites from the upper chain and the low chain, although those two sites aren't coupled. Site N and site N+2 are coupled but they are separated by a site from the other chain. Will this scheme cause any problems? $\endgroup$
    – Frank
    Commented Aug 26, 2020 at 7:05

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