Mutual information as a two-point correlation function in stochastic lattice models

@article{Mller2013MutualIA,
  title={Mutual information as a two-point correlation function in stochastic lattice models},
  author={Ulrich M{\"u}ller and Haye Hinrichsen},
  journal={Journal of Statistical Mechanics: Theory and Experiment},
  year={2013},
  volume={2013}
}
In statistical physics entropy is usually introduced as a global quantity which expresses the amount of information that would be needed to specify the microscopic configuration of a system. However, for lattice models with infinitely many possible configurations per lattice site it is also meaningful to introduce entropy as a local observable that describes the information content of a single lattice site. Likewise, the mutual information between two sites can be interpreted as a two-point… 
1 Citations
Mutual information in coupled double quantum dots
  • K. Tanabe
  • Computer Science
    Journal of Statistical Mechanics: Theory and Experiment
  • 2020
TLDR
This study analyzes a simple numerical model comprising a set of coupled double quantum dots, where the disconnection of the elements is represented by the removal of Coulomb interaction between the quantum dots.

References

SHOWING 1-10 OF 17 REFERENCES
Shared information in stationary states at criticality
We consider bipartitions of one-dimensional extended systems whose probability distribution functions describe stationary states of stochastic models. We define estimators of the information shared
Mutual information in classical spin models
The total many-body correlations present in finite temperature classical spin systems are studied using the concept of mutual information. As opposed to zero-temperature quantum phase transitions,
Entanglement entropy and quantum field theory
We carry out a systematic study of entanglement entropy in relativistic quantum field theory. This is defined as the von Neumann entropy SA = −Tr ρAlogρA corresponding to the reduced density matrix
Correlation density matrix : an unbiased analysis of exact diagonalizations
Given the ground-state wave function for an interacting lattice model, we define a ``correlation density matrix'' (CDM) for two disjoint separated clusters $A$ and $B$ to be the density matrix of
Entanglement entropy and conformal field theory
We review the conformal field theory approach to entanglement entropy in 1+1 dimensions. We show how to apply these methods to the calculation of the entanglement entropy of a single interval, and
Numerical study of a model for nonequilibrium wetting.
TLDR
A special point in the phase diagram is investigated, where the model exhibits a roughening transition related to directed percolation, and it is argued that in the vicinity of this point evaporation from the middle of plateaus can be interpreted as an external field in the language of directedPercolation.
Localisation-delocalisation transition in a solid-on-solid model with a pinning potential
The influence of pinning forces on domain-wall fluctuations is studied in a continuous planar solid-on-solid model with a one-dimensional interface. The system is simple enough so that exact results
Entropy estimates of small data sets
TLDR
A new ‘balanced estimator’ for entropy functionals (Shannon, Rényi and Tsallis) specially devised to provide a compromise between low bias and small statistical errors, for short data series.
Pinning of a rough interface by an external potential
...
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