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The multimagnon continua of 1D quantum spin systems possess severalinteresting singular features that may soon be accessible experimentallythrough inelastic neutron scattering. These include cusps and compositiondiscontinuities in the boundary envelopes of two-magnon continuum states anddiscontinuities in the density of states, "caustics", on and within thecontinuum, which will appear as discontinuities in scattering intensity. Inthis note we discuss the general origins of these continuum features, andillustrate our results using the alternating Heisenberg antiferromagnetic chainand two-leg ladder as examples.Comment: 18 pages, 10 figure

Boundaries, cusps, and discontinuities in the multimagnon continua of one-dimensional quantum spin systems