Diagrammatic calculation of energy spectrum of quantum impurity in degenerate Bose-Einstein condensate

Abstract

In this paper we considered a quantum particle moving through delute Bose-Einstein condensate at zero temperature. In our formulation the impurity particle interacts with the gas of uncoupled Bogoliubov's excitations. We constructed the perturbation theory for the Green's function of the impurity particle with respect to the impurity-condensate interaction employing the coherent-state path integral approach. The perturbative expansion for the Green's function is resumed into the expansion for its poles with the help of the diagrammatic technique developed in this work. The dispersion relation for the impurity clothed by condensate excitations is obtained and effective mass is evaluated beyond the Golden rule approximation.

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Cited by in corpus (13)

• Fate of the Bose polaron at finite temperature
• Finite-temperature behavior of the Bose polaron
• Bloch oscillations of bosonic lattice polarons
• Impurity states in the one-dimensional Bose gas
• Lattice polarons across the superfluid to Mott insulator transition
• Variational approach to the ground state of an impurity in Bose-Einstein condensate
• Self-localization of a small number of Bose particles in a superfluid Fermi system
• Impurity self-energy in the strongly-correlated Bose systems
• Polarons in Binary Bose-Einstein Condensates
• Microscopic Computational Model of a Superfluid
• Repulsive Fermi and Bose Polarons in Quantum Gases
• Medium-enhanced polaron repulsion in a dilute Bose mixture
• Weak and strong coupling polarons in binary Bose-Einstein condensates