7 citations · 8 across the 3 of their papers we have counts for
4 papers · 1 filter
On Spectral Gap,U(1) Symmetry and Split Property in Quantum Spin Chains
Taku Matsui
We consider a class of ground states for quantum spin chains on an integer lattice. First we show that presence of the spectral gap between the ground state energy and the rest of…
On Haag Duality for Pure States of Quantum Spin Chain
M. Keyl, Taku Matsui, D. Schlingemann +1
We consider quantum spin chains and their translationally invariant pure states. We prove Haag duality for quasilocal observables localized in semi-infinite intervals when the von…
BEC of Free Bosons on Networks
Taku Matsui
We consider free Bosons hopping on a network(infinite graph). The condition for Bose-Einstein condensation is given in terms of the random walk on a graph. In case of periodic latt…
On Quasifree Representations of Infinite Dimensional Symplectic Group
Taku Matsui, Yoshihito Shimada
We consider an infinite dimensional generalization of Metaplectic representations (Weil representations) for the (double covering of) symplectic group. Given quasifree states of an…