Polaron in the dilute critical Bose condensate
Abstract
The properties of an impurity immersed in a dilute D-dimensional Bose gas at temperatures close to its second-order phase transition point are considered. Particularly by means of the 1/N-expansion, we calculate the leading-order polaron energy and the damping rate in the limit of vanishing boson-boson interaction. It is shown that the perturbative effective mass and the quasiparticle residue diverge logarithmically in the long-length limit, signalling the non-analytic behavior of the impurity spectrum and pole-free structure of the polaron Green’s function in the infrared region, respectively.
- Publication:
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Journal of Physics A Mathematical General
- Pub Date:
- May 2018
- DOI:
- 10.1088/1751-8121/aab9c1
- arXiv:
- arXiv:1711.00712
- Bibcode:
- 2018JPhA...51s5003P
- Keywords:
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- Condensed Matter - Quantum Gases
- E-Print:
- 10+epsilon pages, 5 figures