Quantum phase transitions of two-species bosons in square lattice

TL;DR

This paper studies quantum phase transitions in a two-species boson system on a square lattice, identifying phase boundaries and characterizing transitions, aiding experimental searches for pair superfluid phases.

Contribution

It introduces a tensor product state algorithm to determine phase boundaries and characterize quantum phase transitions in two-species boson systems.

Findings

Identified phase boundaries of pair superfluid states.

Characterized quantum phase transitions across these boundaries.

Provided guidance for experimental detection of pair superfluid phases.

Abstract

We investigate various quantum phase transitions of attractive two-species bosons in a square lattice. Using the algorithm based on the tensor product states, the phase boundaries of the pair superfluid states with nonzero pair condensate density \emph{and} vanishing atomic condensate density are determined. Various quantum phase transitions across the phase boundaries are characterized. Our work thus provides guides to the experimental search of the pair superfluid phase in lattice boson systems.