University of Geneva
Dr. Elmar Doggen
Confinement of excitations induces quasilocalized dynamics in disorder-free isolated quantum many-body systems in one spatial dimension. This occurrence is signaled by severe suppression of quantum correlation spreading and of entanglement growth, long-time persistence of spatial inhomogeneities, and long-lived coherent oscillations of local observables. I will review and discuss this phenomenology and present a unified understanding of these dramatic effects. The suppressed delocalization of configurations with dilute excitations is shown to be determined by the existence of high energy barriers in the many-body Hilbert space, and can be related to the Schwinger effect in quantum electrodynamics. The dynamics are quantitatively captured for long time scales by effective Hamiltonians exhibiting Stark localization of excitations and weak growth of entanglement for arbitrary confinement strength. This analysis explains the suppression of real-time string breaking found in 1d lattice gauge theories, as well as the anomalous evolution observed in tilted-field and in long-range interacting quantum Ising chains starting from configurations with dilute domain-walls.
Phys. Rev. B 99, 180302(R) (2019)
Phys. Rev. B 99, 121112(R) (2019)
Phys. Rev. X 10, 021041 (2020)
Phys. Rev. B 102, 041118(R) (2020)