Polaron in the dilute critical Bose condensate

Abstract

The properties of impurity immersed in the dilute $D$-dimensional Bose gas at temperatures close to the second-order phase transition point are considered. Particularly by means of the $1/N$-expansion we calculated the leading-order polaron energy and the damping rate in the limit of vanishing boson-boson interaction. It is show that the perturbative effective mass and the quasiparticle residue diverge logarithmically in the long-length limit signalling the non-analytic behavior of impurity spectrum and a non-pole structure of a polaron Green's function in the infrared region, respectively.

10+epsilon pages, 5 figures

References in corpus (11)

• Variational study of polarons in Bose-Einstein condensates
• Diagrammatic Monte Carlo study of the acoustic and the BEC polaron
• Universality of an impurity in a Bose-Einstein condensate
• The Bose polaron problem: effect of mass imbalance on binding energy
• Quantum Monte-Carlo study of the Bose polaron problem in a one-dimensional gas with contact interactions
• Finite-temperature behavior of the Bose polaron
• Efimov States of Heavy Impurities in a Bose-Einstein Condensate
• Impurity states in the one-dimensional Bose gas
• Impurity crystal in a Bose-Einstein condensate
• Behavior of the impurity atom in a weakly-interacting Bose gas
• A mixed dimensional Bose polaron

Cited by in corpus (14)

• Fate of the Bose polaron at finite temperature
• Variational approach for impurity dynamics at finite temperature
• Renormalization group study of Bose polarons
• Mean-field study of repulsive 2D and 3D Bose polarons
• Polaron in dilute 2D Bose gas at low temperatures
• Mobile impurities interacting with a few one-dimensional lattice bosons
• Fermi polaron in low-density spin-polarized neutron matter
• Impurity in a three-dimensional unitary Bose gas
• Mean-field properties of impurity in Bose gas with three-body forces
• Stochastic-field approach to the quench dynamics of the one-dimensional Bose polaron
• Temperature-induced miscibility of impurities in trapped Bose gases
• Large-$N$ properties of a non-ideal Bose gas
• Functional renormalisation group approach to the finite-temperature Bose polaron
• Quasiparticle nature of the Bose polaron at finite temperature