Mobile impurity near the superfluid-Mott insulator quantum critical point in two dimensions

Abstract

We consider bosonic atoms in an optical lattice at integer filling, tuned to the superfluid-Mott insulator critical point, and coupled to a single, mobile impurity atom of a different species. This setup is inspired by current experiments with quantum gas microscopes, which enable tracking of the impurity motion. We describe the evolution of the impurity motion from quantum wave packet spread at short times, to Brownian diffusion at long times. This dynamics is controlled by the interplay between dangerously irrelevant perturbations at the strongly-interacting field theory describing the superfluid-insulator transition in two spatial dimensions.

15 pages, 8 figures, added discussion of superfluid regime, typos corrected, final version

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Cited by in corpus (8)

• Thermometry of ultracold atoms via non-equilibrium work distributions
• Non-destructive selective probing of phononic excitations in a cold Bose gas using impurities
• Trapping Centers at the Superfluid-Mott-insulator Criticality: Transition between Charge-quantized States
• The halon: a quasiparticle featuring critical charge fractionalization
• Lattice Bose polarons at strong coupling and quantum criticality
• Tunable breakdown of the polaron picture for mobile impurities in a topological semimetal
• Bound states in two-dimensional Fermi systems with quadratic band touching
• Even-Odd effect of an Spin-S impurity coupled to a quantum critical system