Abstract

We calculate frequencies of collective oscillations of two-component Fermi gas that is kept on the repulsive branch of its energy spectrum. Not only is a paramagnetic phase explored, but also a ferromagnetically separated one. Both in-, and out-of-phase perturbations are investigated, showing contributions from various gas excitations. Additionally, we compare results coming from both time-dependent Hartree-Fock and density-functional approaches.

Highlights

  • Theoretical and experimental studies of multi-component quantum mixtures have always played a crucial role in our attempts to understand the quantum theory [1, 2]

  • The first realizations of quantum degenerate gases in 1990s [4,5,6] have created a playground for scientists that allows one to combine different fermionic and bosonic ingredients of a mixture, and to freely tune interatomic interactions by means of Feshbach resonances [7]

  • The results suggest that overlapping regions of fermionic clouds can be described hydrodynamically

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Summary

Introduction

Theoretical and experimental studies of multi-component quantum mixtures have always played a crucial role in our attempts to understand the quantum theory [1, 2]. Those types of excitations have proved useful in investigations of equations of state for strongly interacting fermionic gases [16,17,18] Both theoretical and experimental considerations [19,20,21,22,23,24,25,26,27,28,29,30,31,32] showed that collective oscillations in multi-component mixtures are affected by a variety of different effects, among the others, damping and frequency shifts [33,34,35].

Time-dependent Hartree-Fock calculations
Initial states – imaginary time propagation
Monopole compression mode
Radial modes
Comparison to hydrodynamic approach
Conclusions
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