6 papers
Hierarchical Lorentz Mirror Model: Normal Transport and a Universal Mean--Variance Law
Raphael Lefevere, Hal Tasaki
The Lorentz mirror model provides a clean setting to study macroscopic transport generated solely by quenched environmental randomness. We introduce a hierarchical version whose di…
The XY and XYZ models on the two or higher dimensional hypercubic lattice do not possess nontrivial local conserved quantities
Naoto Shiraishi, Hal Tasaki
We study the quantum spin system on the -dimensional hypercubic lattice with with uniform nearest-neighbor interaction of the XY or XYZ type and arbitrar…
Macroscopic Irreversibility in Quantum Systems: Free Expansion in a Fermion Chain
Hal Tasaki
We consider a free fermion chain with uniform nearest-neighbor hopping and let it evolve from an arbitrary initial state with a fixed macroscopic number of particles. We then prove…
Absence of nontrivial local conserved quantities in the quantum compass model on the square lattice
Mahiro Futami, Hal Tasaki
By extending the method developed by Shiraishi, we prove that the quantum compass model on the square lattice does not possess any local conserved quantities except for the Hamilto…
Trees that can be grown in "too many" ways: A review of Bouch's construction
Hal Tasaki
We carefully review the hierarchical construction by Bouch [Bouch2015] of trees on the square lattice that can be grown from its root in distinct ways, where denotes t…
The Ground State of the S=1 Antiferromagnetic Heisenberg Chain is Topologically Nontrivial if Gapped
Hal Tasaki
Under the widely accepted but unproven assumption that the one-dimensional S=1 antiferromagnetic Heisenberg model has a unique gapped ground state, we prove that the model belongs…