Mott Insulator-like Bose-Einstein Condensation in a Tight-Binding System of Interacting Bosons with a Flat Band

no code implementations • 22 Feb 2021 • Hosho Katsura, Hal Tasaki

We propose a new class of tight-binding systems of interacting bosons with a flat band, which are exactly solvable in the sense that one can explicitly write down the unique ground state.

Quantum Gases Statistical Mechanics

Rigorous results on the ground state of the attractive SU($N$) Hubbard model

no code implementations • 4 Nov 2020 • Hironobu Yoshida, Hosho Katsura

The model is defined on a bipartite lattice with the number of sites $N_A$ $(N_B)$ in the $A$ $(B)$ sublattice.

Strongly Correlated Electrons Quantum Gases Statistical Mechanics Mathematical Physics Mathematical Physics

Symmetry-protected Topological Phases in Spinful Bosons with a Flat Band

no code implementations • 3 Mar 2020 • Hong Yang, Hayate Nakano, Hosho Katsura

Ground states of such systems are not conventional Mott insulators in the sense that the ground states possess not only spin fluctuations but also non-negligible charge fluctuations.

Quantum Gases Strongly Correlated Electrons

Learning Disordered Topological Phases by Statistical Recovery of Symmetry

no code implementations • 18 Sep 2017 • Nobuyuki Yoshioka, Yutaka Akagi, Hosho Katsura

By using this, we classify the phases by the artificial neural network that learned the quasiparticle distribution in the clean limit, and show that the result is totally consistent with the calculation by the transfer matrix method or noncommutative geometry approach.