Maximum velocity quantum circuits
- URL: http://arxiv.org/abs/2003.01133v1
- Date: Mon, 2 Mar 2020 19:00:06 GMT
- Title: Maximum velocity quantum circuits
- Authors: Pieter W. Claeys, Austen Lamacraft
- Abstract summary: We consider the long-time limit of out-of-time-order correlators (OTOCs) in two classes of quantum lattice models.
We show analytic results for the long-time value of the OTOC on and inside the light cone.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: We consider the long-time limit of out-of-time-order correlators (OTOCs) in
two classes of quantum lattice models with time evolution governed by local
unitary quantum circuits and maximal butterfly velocity $v_{B} = 1$. Using a
transfer matrix approach, we present analytic results for the long-time value
of the OTOC on and inside the light cone. First, we consider `dual-unitary'
circuits with various levels of ergodicity, including the integrable and
non-integrable kicked Ising model, where we show exponential decay away from
the light cone and relate both the decay rate and the long-time value to those
of the correlation functions. Second, we consider a class of kicked XY models
similar to the integrable kicked Ising model, again satisfying $v_{B}=1$,
highlighting that maximal butterfly velocity is not exclusive to dual-unitary
circuits.
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