Dynamics of measured many-body quantum chaotic systems
- URL: http://arxiv.org/abs/2112.08373v2
- Date: Wed, 13 Jul 2022 21:14:21 GMT
- Title: Dynamics of measured many-body quantum chaotic systems
- Authors: A. Altland, M. Buchhold, S. Diehl, T. Micklitz
- Abstract summary: We analytically describe the limits of strong and weak measurement rate, where in the latter case monitoring up to time scales exponentially long in the numbers of particles is required.
We complement the analysis of the limiting regimes with the construction of an effective replica theory providing information on the stability and the symmetries of the respective phases.
- Score: 0.0
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: We consider the dynamics of continuously measured many-body chaotic quantum
systems. Focusing on the observable of state purification, we analytically
describe the limits of strong and weak measurement rate, where in the latter
case monitoring up to time scales exponentially long in the numbers of
particles is required. We complement the analysis of the limiting regimes with
the construction of an effective replica theory providing information on the
stability and the symmetries of the respective phases. The analytical results
are tested by comparison to exact numerical simulations for a measured SYK
model.
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