8 citations · 13 across the 3 of their papers we have counts for
3 papers
Rigorous lower bound of the dynamical critical exponent of the Ising model
Rintaro Masaoka, Tomohiro Soejima, Haruki Watanabe
We study the kinetic Ising model under Glauber dynamics and establish an upper bound on the spectral gap for finite systems. This bound implies the critical exponent inequality $z…
Rigorous lower bound on dynamical exponents in gapless frustration-free systems
Rintaro Masaoka, Tomohiro Soejima, Haruki Watanabe
This work rigorously establishes a universal lower bound for the dynamical exponent in frustration-free quantum many-body systems whose ground states exhibit power-law deca…
Quadratic dispersion relations in gapless frustration-free systems
Rintaro Masaoka, Tomohiro Soejima, Haruki Watanabe
Recent case-by-case studies revealed that the dispersion of low energy excitations in gapless frustration-free Hamiltonians is often quadratic or softer. In this work, we argue tha…