7 citations · 10 across the 7 of their papers we have counts for
7 papers
Solving models with generalized free fermions II: Path-product expansion and conserved charges
Kohei Fukai, Balázs Pozsgay, István Vona
Free-fermion solvability in quantum spin systems is increasingly understood to be governed by a graph Clifford algebra defined from the frustration graph of the Hamiltonian. When t…
Dissipative free fermions in disguise
Kohei Fukai, Hironobu Yoshida, Hosho Katsura
Recently, a class of spin chains known as ``free fermions in disguise'' (FFD) has been discovered, which possess hidden free-fermion spectra even though they are not solvable via t…
Solving models with generalized free fermions I: Algebras and eigenstates
Kohei Fukai, Balázs Pozsgay, István Vona
We study quantum spin chains solvable via hidden free fermionic structures. We study the algebras behind such models, establishing connections to the mathematical literature of the…
Integrability of a family of clean SYK models from the critical Ising chain
Kohei Fukai, Hosho Katsura
We establish the integrability of a family of Sachdev-Ye-Kitaev (SYK) models with uniform -body interactions. We derive the R-matrix and mutually commuting transfer matrices tha…
A free fermions in disguise model with claws
Kohei Fukai, István Vona, Balázs Pozsgay
Recently, several spin chain models have been discovered that admit solutions in terms of "free fermions in disguise." A graph-theoretical treatment of such models was also establi…
Study of local conserved quantities in the one-dimensional Hubbard model
Kohei Fukai
In this thesis, I study the local charges in the one-dimensional Hubbard model, which is an integrable system used for theoretical studies of non-perturbative effects in…
Quantum circuits with free fermions in disguise
Balázs Pozsgay, Kohei Fukai
Recently multiple families of spin chain models were found, which have a free fermionic spectrum,even though they are not solvable by a Jordan-Wigner transformation. Instead, the f…