Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Quantum Networks in Divergence-free Circuit QED   Superconducting circuits are one of the leading quantum platforms for quantum
technologies. With growing system complexity, it is of crucial importance to
develop scalable circuit models that contain the minimum information required
to predict the behaviour of the physical system. Based on microwave engineering
methods, divergent and non-divergent Hamiltonian models in circuit quantum
electrodynamics have been proposed to explain the dynamics of superconducting
quantum networks coupled to infinite-dimensional systems, such as transmission
lines and general impedance environments. Here, we study systematically common
linear coupling configurations between networks and infinite-dimensional
systems. The main result is that the simple Lagrangian models for these
configurations present an intrinsic natural length that provides a natural
ultraviolet cutoff. This length is due to the unavoidable dressing of the
environment modes by the network. In this manner, the coupling parameters
between their components correctly manifest their natural decoupling at high
frequencies. Furthermore, we show the requirements to correctly separate
infinite-dimensional coupled systems in local bases. We also compare our
analytical results with other analytical and approximate methods available in
the literature. Finally, we propose several applications of these general
methods to analog quantum simulation of multi-spin-boson models in
non-perturbative coupling regimes.

22
The categories of this paper are: chao-dyn
28
The categories of this paper are: alg-geom
12
The categories of this paper are: nucl-th
7
The categories of this paper are: hep-th
11
The categories of this paper are: hep-lat
20
The categories of this paper are: acc-phys
27
The categories of this paper are: comp-gas
1
The categories of this paper are: cs
19
The categories of this paper are: eess
5
The categories of this paper are: gr-qc
35
The categories of this paper are: mtrl-th
8
The categories of this paper are: hep-ex
0
The categories of this paper are: hep-ph
25
The categories of this paper are: patt-sol
36
The categories of this paper are: cmp-lg
30
The categories of this paper are: q-alg