Variational Polaron Method for Bose-Bose Mixtures

Abstract

We study degenerate mixtures of "heavy" bosons and "light" superfluid bosons using a variational polaron transformation. We consider the Mott insulator-superfluid transition of the heavy species and find that at $T=0$ interaction favors the superfluid phase of the heavy species. Our analytic results agree well with numerically exact quantum Monte Carlo simulations in two dimensions. We then show that in three dimensions the variational polaron transformation can be combined with a Gutzwiller approximation to give good results.

5 pages, 2 figures

References in corpus (7)

• Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms
• Bose-Fermi Mixtures in a Three-dimensional Optical Lattice
• Degenerate Bose-Bose mixture in a three-dimensional optical lattice
• Role of interactions in 87Rb-40K Bose-Fermi mixtures in a 3d optical lattice
• Interaction-driven Dynamics of 40K / 87Rb Fermi-Bose Gas Mixtures in the Large Particle Number Limit
• Superfluidity of Interacting Bosonic Mixtures in Optical Lattices
• Mixtures of strongly interacting bosons in optical lattices

Cited by in corpus (18)

• Real-Time Dynamics of an Impurity in an Ideal Bose Gas in a Trap
• Bose polaron as an instance of quantum Brownian motion
• Quantum Impurity in a One-dimensional Trapped Bose Gas
• Bath-Induced Correlations Enhance Thermometry Precision at Low Temperatures
• Demixing Effects in Mixtures of Two Bosonic Species
• Two-species boson mixture on a ring: A group theoretic approach to the quantum dynamics of low-energy excitations
• Non-Markovian polaron dynamics in a trapped Bose-Einstein condensate
• Quantum dynamics of Bose-polaron in a $d$-dimensional Bose Einstein condensate
• Phase separation can be stronger than chaos
• Lattice polarons across the superfluid to Mott insulator transition
• Delocalization effects, entanglement entropy and spectral collapse of boson mixtures in a double well
• Polaronic effects in one- and two-band quantum systems
• The phase-separation mechanism of a binary mixture in a ring trimer
• Residual entropy and critical behavior of two interacting boson species in a double well
• Collision of impurities with Bose-Einstein condensates
• Interspecies entanglement with impurity atoms in a lattice gas
• Phase transition of ultracold atoms immersed in a BEC vortex lattice
• Density-dependent hopping for ultracold atoms immersed in a Bose-Einstein-condensate vortex lattice