Andreev trajectory and low-temperature transport in ultracold atoms in the presence of a vortex line: Population imbalance effect

By taking into account Andreev scattering of thermal excitations and using the excitation energy obtained from Bogoliubov-de Gennes equations, the dynamics of quasiparticle excitation of a mass-asymmetric cold polarized Fermi gas near a vortex line is determined. Also, the fraction of heat transmitted by the quasiparticle across the velocity field of the vortex is obtained. Then, the relation between the relevant physical parameters (such as, the scattering length, a, the average chemical potential, μ_s, the imbalance chemical potential, h_s, and the mass ratio, m_r) and the Andreev trajectory is obtained and discussed. Also, the heat transmitted by the quasiparticle in terms of the imbalance chemical potential and temperature is calculated. As an important result, in ultracold atomic system, the Andreev trajectory and heat transmitted can be controlled by the relevant physical parameters via the species population imbalance.