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  • $\begingroup$ My answer to this other question might also relate to yours, depending on exactly what you're asking: What does spontaneous symmetry breaking have to do with decoherence? $\endgroup$
    – Chiral Anomaly
    Commented Nov 12, 2021 at 22:49
  • $\begingroup$ @ChiralAnomaly Thanks, I will take a careful look and see if I can map it on to my question. $\endgroup$
    – d_b
    Commented Nov 12, 2021 at 22:54
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    $\begingroup$ In a finite system, the Goldstone modes will also gap out. The Goldstone mode spectra are expected to scale with the number of sites $N$ as $1/N^{1/d}$ in $d$ dimensions. The structure of the resulting finite-size spectrum is very well-understood, see for example arxiv.org/abs/1704.08622 $\endgroup$
    – Seth Whitsitt
    Commented Nov 14, 2021 at 6:25
  • $\begingroup$ @SethWhitsitt Thanks, that reference is very helpful. $\endgroup$
    – d_b
    Commented Nov 15, 2021 at 20:55