so cavities you systems a macroscopic manmade quantum systems
in which superconducting artificial atoms interact with the electromagnetic field in a microwave present data
these systems have been invented to mimic the physics of quantum optically cavity huey do
systems
what we latins
in a scalable and more flexible framework
this opens up a variety of possible applications that you use
for instance
they provide a promising platform for processing quantum information
today
so if you systems containing a small number of artificial atoms
can be fabricated and one controlled
and the experimental technology is rapidly moving towards multi adam multi resonator architectures which drastically
and heart coherence times
this makes a q e d increasingly attractive
also for quantum simulations of interacting quantum anybody systems
even more so
because of the current widespread interest
in the non equilibrium dynamics of these systems
we have previously proposed and analyzed circuit you at design
that implements the quantum transverse you using chain
couples to microwave resonator for read out
the transverse field using chain is an elementary quantum anybody's been system
and thus as the model example system in the theory of quantum criticality
and non equilibrium thermodynamics
we have argued that our setup can be used to study quenched and n x
the propagation of localised expectations
and other non equilibrium features
in this you fury that exhibits a quantum phase transition
in the present work we revisit our proposal and study the effects of this order
on the non equilibrium dynamics of our quantum simulator
it is shown
but small amounts of application and use this or than the system parameters
but have to be expected in a real-world implementation of our proposal
do not jeopardise the observation of the previously predicted phenomena
for instance
the spectrum of the system does not change qualitatively
if some random does not in the system parameters is included
we then numerically extract the mean free power of a wave packet in the system
as a function of the sort of string
this allows us to provide a simple quantitative estimate for certain disorder effect on the
non equilibrium dynamics of the circuit q e d quantum simulator
finally we discuss the transition from week to stronger is also characterized by the onset
of and the localization
all the systems weight function
this machine can be accessed by deliberately did you wanting individual artificial atoms
and leads to qualitatively different dynamics