Robust Oscillations and Edge Modes in Nonunitary Floquet Systems
- URL: http://arxiv.org/abs/2209.06945v2
- Date: Thu, 22 Jun 2023 01:39:22 GMT
- Title: Robust Oscillations and Edge Modes in Nonunitary Floquet Systems
- Authors: Vikram Ravindranath, Xiao Chen
- Abstract summary: We find a robust, purely real, edge $pi$-mode in the oscillatory phase.
These oscillations are numerically found to be stable against interactions and disorder.
- Score: 6.723539428281127
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: We explore oscillatory behaviour in a family of periodically driven spin
chains which are subject to a weak measurement followed by post-selection. We
discover a transition to an oscillatory phase as the strength of the
measurement is increased. By mapping these spin chains to free fermion models,
we find that this transition is reflected in the opening of a gap in the
imaginary direction. Interestingly, we find a robust, purely real, edge
$\pi$-mode in the oscillatory phase. We establish a correspondence between the
complex bulk spectrum and these edge modes. These oscillations are numerically
found to be stable against interactions and disorder.
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