Extraction of Bose-Hubbard parameters from a 1D microscopic model

Robert Ivancic, Eric Duchon, Nandini Trivedi

Andrey R. Kolovsky, Andreas Buchleitner

We present a numerical study of the spectral properties of the 1D Bose-Hubbard model. Unlike the 1D Hubbard model for fermions, this system is found to be non-integrable, and exhibits Wigner-Dyson spectral statistics under suitable conditions.

Ramesh V. Pai, Rahul Anil Pandit

Jay D. Mancini, Vassilios Fessatidis, S.P. Bowen +2 more

Lorenzo Carfora, Callum W. Duncan, Stefan Kuhr +1 more

We calculate the phase diagram of the Bose-Hubbard model on a half-filled ladder lattice including the effect of finite on-site interactions. This shows that the rung-Mott insulator (RMI) phase persists to finite interaction strength, and we calculate the RMI-superfluid phase boundary in the thermodynamic limit. We show that the phases can still be distinguished using the number and parity variances, which are observables accessible in a quantum-gas microscope. Phases analogous to the RMI were found to exist in other quasi-1D lattice structures, with the lattice connectivity modifying the phase boundaries. This shows that the the presence of these phases is the result of states with one-dimensional structures being mapped onto higher dimensional systems, driven by the reduction of hopping rates along different directions.

A. R Kolovsky, Andreas Buchleitner

We present a numerical study of the spectral properties of the 1D Bose-Hubbard model. Unlike the 1D Hubbard model for fermions, this system is found to be non-integrable, and exhibits Wigner-Dyson spectral statistics under suitable conditions.