Schwinger-Keldysh approach to tunneling transport at a hadron-quark interface

Abstract

We theoretically discuss quantum tunneling transport and frictions at a hadron-quark matter interface based on the Schwinger-Keldysh approach combined with the tunneling Hamiltonian, which has been developed in the context of condensed matter physics. In the inner core of massive neutron stars, it is expected that cold quark matter appears at sufficiently high densities and hence exhibits color superconductivity, surrounded by nucleon superfluids at lower densities. The perturbative expressions of the tunneling current and the friction at the interface are obtained in terms of the non-equilibrium Green's functions. We demonstrate the DC Josephson current that occurs at the hadron-quark superfluid interface in the present scheme. Our framework can be applied to various conflagrations involving the interfaces relevant to astrophysical phenomena.

9 pages, 4 figures

References in corpus (16)

• Color superconductivity in dense quark matter
• Andreev reflection and Klein tunneling in graphene
• Observation of Phase Separation in a Strongly-Interacting Imbalanced Fermi Gas
• Two-terminal transport measurements with cold atoms
• Keldysh study of point-contact tunneling between superconductors
• Instability of a gapless color superconductor with respect to inhomogeneous fluctuations
• Anomalous Conductance of a strongly interacting Fermi Gas through a Quantum Point Contact
• Andreev reflections and the quantum physics of black holes
• Black holes as Andreev reflecting mirrors
• Neutron-quark stars: Discerning viable alternatives for the higher-density part of the equation of state of compact stars
• Spin transport between polarized Fermi gases near the ferromagnetic phase transition
• Probing Goldstino excitation through the tunneling transport in a Bose-Fermi mixture with explicitly broken supersymmetry
• Josephson currents in neutron stars
• Magnonic spin current shot noise in an itinerant Fermi gas
• Dominant Andreev Reflection through Nonlinear Radio-Frequency Transport
• Spin current generation due to differential rotation