Perfect Wave Transfer in Nonconformal Tomonaga-Luttinger Liquids

arXiv:2611.09018v1 Announce Type: new Abstract: Perfect wave transfer (PWT) reproduces spatial reflection at a common finite time under a fixed Hamiltonian. We classify this process for open compact bosons and inhomogeneous Tomonaga--Luttinger liquids, distinguishing transfer of oscillator and neutral observables from transfer on the charged field algebra. In the single-charge model, the first two notions coincide. Global transfer additionally requires rephasing of the compact zero mode. For regular reflection-symmetric channels, exact oscillator transfer forces an odd multiple of the optical crossing time and a strictly ordered, parity-compatible spectrum differing from the conformal ladder at only finitely many levels.