73 citations · 179 across the 24 of their papers we have counts for
15 papers · 1 filter
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…
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.
Nonexistence of spontaneous symmetry breakdown of time-translation symmetry on general quantum systems: Any macroscopic order parameter moves not!
Hajime Moriya
This review informs that the impossibility of genuine quantum time crystals has been known in the C*-algebraic quantum statistical mechanics since 1970s. The KMS condition implies…
Gibbs variational formula for thermal equilibrium states in terms of quantum relative entropy density
Hajime Moriya
We prove the Gibbs variational formula in terms of quantum relative entropy density that characterizes translation invariant thermal equilibrium states in quantum lattice systems.…
Supersymmetry breakdown for an extended version of the Nicolai supersymmetric fermion lattice model
Hajime Moriya
Sannomiya-Katsura-Nakayama have recently studied supersymmetry breakdown for an extension of the Nicolai supersymmetric fermion lattice model. This model called the extended Nicola…
Characterization of degenerate supersymmetric ground states of the Nicolai supersymmetric fermion lattice model by symmetry breakdown
Hosho Katsura, Hajime Moriya, Yu Nakayama
We study a supersymmetric fermion lattice model defined by Hermann Nicolai. We show that its infinitely many classical supersymmetric ground states are associated to breakdown of h…