Impurity in a three-dimensional unitary Bose gas

Static Impurities in a Weakly Interacting Bose Gas

“…Consequently, the calculation of thermodynamics for "Bose gas + static impurities" reduces to finding a solution of Equation ( 10) and then, with ψ 0 (r) in hand, to the evaluation of the functional determinant. Note that by taking into account S 0 only, one reproduces the mean-field [56][57][58][59][60][61] description of the system generalized to N impurities in the static limit. In comparison to other Bose-polaron theories, the adopted approach takes into account the correct short-distance boson-impurity physics from the very beginning of the celebrated Bogoliubov treatment of dilute Bose condensates.…”

Static impurities in a weakly-interacting Bose gas

“…(2.10), and then with ψ 0 (r) in hands to the evaluation of the functional determinant. Note that by taking into account S 0 only, one reproduces the mean-field [55][56][57][58][59][60] description of the system generalized to N impurities in the static limit.…”

Mean-field study of repulsive 2D and 3D Bose polarons

“…(here a is the s-wave scattering length) the presented formulation can be extended [64] to the so-called unitary limit, where formally a → ∞ and E[n] ∝ n 5/3 in 3D. The next step, after identifying of E[n], is to calculate the ground-state wave function φ(r), i.e., to solve Eq.…”