Quantum decay in a topological continuum
Abstract
The quantummechanical decay of two or more overlapped resonances in a common continuum is largely influenced by Fano interference, leading to important phenomena such as the existence of bound states in the continuum, fractional decay and quiescent dynamics for single particle decay, and signature of particle statistics in the manybody quantum decay. An overlooked yet essential requirement to observe Fano interference is timereversal symmetry of the bath. Here we consider multilevel quantum decay in a bath sustaining unidirectional (chiral) propagating states, such as in quantum Hall or in Floquet topological insulators, and show that the chiral nature of scattering states fully suppresses Fano interference among overlapping resonances. As a result, there are not bound states in the continuum, quantum decay is complete, and there is not any signature of particle statistics in the decay process. Nonetheless, some interesting features are disclosed in the multilevel decay dynamics in a topological bath, such as the appearance of highorder exceptional points, long quiescent dynamics followed by a fast decay, and the possibility to observe damped nonHermitian Bloch oscillations.
 Publication:

Physical Review A
 Pub Date:
 August 2019
 DOI:
 10.1103/PhysRevA.100.022123
 arXiv:
 arXiv:1908.03378
 Bibcode:
 2019PhRvA.100b2123L
 Keywords:

 Quantum Physics;
 Condensed Matter  Mesoscale and Nanoscale Physics
 EPrint:
 12 pages, 5 figures, to appear in Phys Rev A