Dynamics of the non-Hermitian Kitaev chain
Monday, the 2nd of November 2020 at 10:30
type seminaire
Organized by : Vincent Rossetto ()
Location : Amphithéâtre, Maison des Magistères
Abstract : We theoretically investigate the non-Hermitian dynamical topology of a driven-dissipative Kitaev
chain. For this, we have employed the third quantization formalism [1] to explore signatures of the
non-trivial topology in the time-evolution of the entanglement spectra.
We shall first present a concise summary of the underlying physics of the Kitaev chain and clarify
the merits of stepping outside the realm of Hermitian physics. We then focus on the driven-dissipative
Kitaev chain and explore it’s richer phase diagram with gapless, real-line gapped, imaginary-line gapped,
and topological phases. We further discuss this system’s dynamics from the initial dissipation-less trivial
phase to other regions of the phase diagram. We reveal that non-trivial topology is reflected in crossings
in the entanglement spectrum for quenches from a trivial to the topological phase. We shall also describe
the non-Hermitian classification of our systems using a generalized winding number. Finally, we shall
emphasize that our results are unique to interacting quantum systems.
Laboratoire de Physique et Modélisation des Milieux Condensés
