Mobile impurity in a Fermi sea from the functional renormalization group analytically continued to real time

Kazuhiko Kamikado, Takuya Kanazawa, and Shun Uchino
Phys. Rev. A 95, 013612 – Published 17 January 2017

Abstract

Motivated by experiments with cold atoms, we investigate a mobile impurity immersed in a Fermi sea in three dimensions at zero temperature by means of the functional renormalization group. We first perform the derivative expansion of the effective action to calculate the ground-state energy and Tan's contact across the polaron-molecule transition for several mass imbalances. Next we study quasiparticle properties of the impurity by using a real-time method recently developed in nuclear physics, which allows one to go beyond the derivative expansion. We obtain the spectral function of the polaron and the effective mass and quasiparticle weight of attractive and repulsive polarons, and clarify how they are affected by mass imbalances.

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  • Received 20 June 2016

DOI:https://doi.org/10.1103/PhysRevA.95.013612

©2017 American Physical Society

Physics Subject Headings (PhySH)

Atomic, Molecular & OpticalNuclear PhysicsCondensed Matter, Materials & Applied Physics

Authors & Affiliations

Kazuhiko Kamikado1, Takuya Kanazawa2, and Shun Uchino3,*

  • 1Department of Physics, Tokyo Institute of Technology, Meguro, Tokyo 152-8551, Japan
  • 2iTHES Research Group and Quantum Hadron Physics Laboratory, RIKEN, Wako, Saitama 351-0198, Japan
  • 3RIKEN Center for Emergent Matter Science, Wako, Saitama 351-0198, Japan

  • *shun.uchino@riken.jp

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Issue

Vol. 95, Iss. 1 — January 2017

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