4 papers
Phase transition on a context-sensitive random language model with short range interactions
Yuma Toji, Jun Takahashi, Vwani Roychowdhury +1
Since the random language model was proposed by E. DeGiuli [Phys. Rev. Lett. 122, 128301], language models have been investigated intensively from the viewpoint of statistical mech…
Berezinskii--Kosterlitz--Thouless transition in a context-sensitive random language model
Yuma Toji, Jun Takahashi, Vwani Roychowdhury +1
Several power-law critical properties involving different statistics in natural languages -- reminiscent of scaling properties of physical systems at or near phase transitions -- h…
Fast mixing of operator-loop path-integral quantum Monte Carlo for stoquastic XY Hamiltonians
Chaithanya Rayudu, Jun Takahashi
Quantum Monte Carlo method with operator-loop update is a powerful technique that has been extensively used with great success in condensed matter physics. It enables one to sample…
Rapidly mixing loop representation quantum Monte Carlo for Heisenberg models on star-like bipartite graphs
Jun Takahashi, Sam Slezak, Elizabeth Crosson
Quantum Monte Carlo (QMC) methods have proven invaluable in condensed matter physics, particularly for studying ground states and thermal equilibrium properties of quantum Hamilton…