Lattice polarons across the superfluid to Mott insulator transition

Abstract

We study the physics of a mobile impurity confined in a lattice, moving within a Bose-Hubbard bath at zero temperature. Within the Quantum Gutzwiller formalism, we develop a beyond-Fröhlich model of the bath-impurity interaction. Results for the properties of the polaronic quasiparticle formed from the dressing of the impurity by quantum fluctuations of the bath are presented throughout the entire phase diagram, focusing on the quantum phase transition between the superfluid and Mott insulating phases. Here we find that the modification of the impurity properties is highly sensitive to the different universality classes of the transition, providing an unambiguous probe of correlations and collective modes in a quantum critical many-body environment.

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Cited by in corpus (15)

• Polarons and bipolarons in a two-dimensional square lattice
• Mobile impurities interacting with a few one-dimensional lattice bosons
• Collective excitations of a Bose-Einstein condensate of hard-core bosons and their mediated interactions: from two-body bound states to mediated superfluidity
• Bound impurities in a one-dimensional Bose lattice gas: low-energy properties and quench-induced dynamics
• Chiral polaron formation on the edge of topological quantum matter
• Induced supersolidity and hypersonic flow of a dipolar Bose-Einstein Condensate in a rotating bubble trap
• Lattice Bose polarons at strong coupling and quantum criticality
• Emergent Mott-insulators at non-integer fillings and devil's staircase induced by attractive interaction in many-body polarons
• Counterflow of lattice polarons in harmonically confined optical lattices
• Purely electronic model for exciton-polaron formation in moiré heterostructures
• Polaronic dressing of bound states
• The Bose-Hubbard polaron from weak to strong coupling
• Preparation of quasi-two-dimensional Bose mixture of ultracold ${}^{23}$Na and ${}^{87}$Rb atoms
• Phenomenological model of decaying Bose polarons
• Mobile impurity interacting with a Hubbard chain and the role of Friedel oscillations