PDEA Seminar: Perfect wave transfer in continuous quantum systems

Abstract: I will present recent work on perfect transfer of information in 1+1D continuous quantum systems. This includes effective descriptions of inhomogeneous spin chains, for which the notion of perfect state transfer in quantum information was introduced and until now only considered for discrete systems, while we here phrase it in terms of wave propagation. We show that reflection symmetry is necessary for perfect wave transfer (PWT), and even sufficient when restricted to one-particle excitations in theories that are conformal. To determine if or when it is sufficient more generally, we first break conformal invariance and study a broad class of continuous 1+1D bosonic theories. We show that the question can then be posed as an inverse Sturm-Liouville problem that determines when the bosonic theory exhibits PWT. We demonstrate how to uniquely solve this inverse spectral problem, which also shows that reflection symmetry is sufficient for any number of excitations if the bosonic theory is conformal. Using bosonization, our continuum results extend these notions of perfect transfer to theories with interactions.

Based on joint work arXiv:2408.00723 with M. Christandl, G. M. Graf, and S. Sotiriadis.

Participate on site or via Zoom link, meeting ID: 67226102216

This is a seminar in the PDEs and Applications seminar series