Quantum Monte Carlo method for pairing phenomena: Super-counter-fluid of two-species Bose gases in optical lattices

Abstract

We study the super-counter-fluid(SCF) states in the two-component hardcore Bose-Hubbard model on the square lattice, using the quantum Monte Carlo method based on the worm(directed loop) algorithm. Since the SCF state is a state of a pair-condensation characterized by $<a^{†}b>\ne 0,<a>=0$, and $<b>=0$, where $a$ and $b$ are the order parameters of the two components, it is important to study behaviors of the pair-correlation function $<a_i{b}_i^{†}{a}_j^{†}{b}_j>$. For this purpose, we propose a choice of the worm head for calculating the pair-correlation function. From this pair-correlation, we confirm the Kosterlitz-Thouless(KT) charactor of the SCF phase. The simulation efficiency is also improved in the SCF phase.

4 pages, 4 figures

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Cited by in corpus (11)

• Pair Superfluidity of Three-Body Constrained Bosons in Two Dimensions
• Demixing Effects in Mixtures of Two Bosonic Species
• Effect of particle statistics in strongly correlated two-dimensional Hubbard models
• Detecting paired and counterflow superfluidity via dipole oscillations
• Quantum phases of hard-core bosons on 2D lattices with anisotropic dipole-dipole interaction
• Two-species hard-core bosons on the triangular lattice: A quantum Monte Carlo study
• Finite-temperature phase diagram of two-component bosons in a cubic optical lattice: Three-dimensional t-J model of hard-core bosons
• Quantum and Thermal Transitions Out of the Pair-Supersolid Phase of Two-Species Bosons in Lattice
• Absence of the Twisted Superfluid State in a mean field model of bosons on a Honeycomb Lattice
• Multi-discontinuity algorithm for world-line Monte Carlo simulations
• Emergent supercounterfluid and quantum phase diagram of two-component interacting bosons in one-dimensional optical lattice