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math-ph2025
Mutual entropy and thermal area law in C*-algebraic quantum lattice systems
Hajime Moriya
We present a general definition of quantum mutual entropy for infinitely extended quantum spin and fermion lattice systems. Using this, we establish a thermal area law in these inf…
math-ph2024
Continuous extension of the discrete shift translations on one-dimensional quantum lattice systems
Hajime Moriya, Heide Narnhofer
We study the continuous extension of discrete shift translations on one-dimensional quantum lattice systems.