Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Extracting the Central Charge of Conformal Field Theory by Central Spin
  Decoherence   Conformal invariance powerfully constrains the critical behavior of
two-dimensional classical systems with short-range interactions and the
critical theories in two-dimensions are parametrized by a dimensional number,
termed central charge or conformal anomaly $c$. However, experimental
determination of the central charge of a conformal field theory has not been
done before. Here we propose to extract the central charge of the conformal
field theory corresponding to a critical point of a two-dimensional lattice
models from the quantum decoherence measurement of a probe spin which is
coupled to the two-dimensional lattice models. Conformal invariance predicts
that the leading finite-size correction to the free energy for a
two-dimensional system at a conformal invariant critical point is linearly
related to the conformal anomaly for various boundary conditions. A recent
discovery of thermodynamic holography allows us to obtain the free energy of
many-body system from central spin decoherence measurement. Thus the central
charge of the conformal field theory could be extracted from central spin
decoherence measurement. We have applied the method to the two-dimensional
Ising model and extracted the central charge of two-dimensional Ising model
with good precision. This work provides a useful approach to extracting the
central charge of conformal field theory in various two-dimensional lattice
systems.

17
The categories of this paper are: q-fin
1
The categories of this paper are: cs
20
The categories of this paper are: acc-phys
27
The categories of this paper are: comp-gas
7
The categories of this paper are: hep-th
37
The categories of this paper are: supr-con
26
The categories of this paper are: bayes-an
31
The categories of this paper are: ao-sci
12
The categories of this paper are: nucl-th
29
The categories of this paper are: funct-an
30
The categories of this paper are: q-alg
16
The categories of this paper are: stat
3
The categories of this paper are: physics
36
The categories of this paper are: cmp-lg
14
The categories of this paper are: math-ph
8
The categories of this paper are: hep-ex