Coherent two-state oscillations in false-vacuum decay regimes
Phys. Rev. B 113, 184306 – Published 7 May, 2026
DOI: https://doi.org/10.1103/7qvd-yrvs
Abstract
Coherent two-state oscillations are observed in numerical simulations of the one-dimensional transverse-longitudinal-field Ising model within false-vacuum decay regimes. Starting from the false vacuum (a nearly fully polarized ferromagnetic state), we show that in moderate-size systems, at resonances (with longitudinal field , transverse field , and an integer ), the expected decay can give way to coherent oscillations between the false vacuum and a symmetric resonant state. The oscillation frequency, i.e., the tunneling splitting, is notably observed to exhibit a collective enhancement, as confirmed by a Schrieffer-Wolff analysis. In large chains, coherence remains for due to bubble-size blockade and is robust against stronger transverse fields; for small , long-range interactions can stabilize the oscillations by lifting multibubble degeneracies, establishing a robust many-body coherence mechanism beyond perturbative and finite-size limits.