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.

arXiv comment9 pages, 4 figures

References in corpus (43)

• An accurate nucleon-nucleon potential with charge-independence breaking
• The high-precision, charge-dependent Bonn nucleon-nucleon potential (CD-Bonn)
• Color superconductivity in dense quark matter
• The Physics of Neutron Stars
• Andreev reflection and Klein tunneling in graphene
• QCD at Finite Baryon Density: Nucleon Droplets and Color Superconductivity
• The phase diagram of dense QCD
• Diquark Bose Condensates in High Density Matter and Instantons
• From hadrons to quarks in neutron stars: a review
• Hamiltonian approach to the transport properties of superconducting quantum point contacts
• Pairing in nuclear systems: from neutron stars to finite nuclei
• Observation of Phase Separation in a Strongly-Interacting Imbalanced Fermi Gas
• The Minimal CFL-Nuclear Interface
• The BCS-BEC crossover: From ultra-cold Fermi gases to nuclear systems
• Detailed Analysis of the Three Quark Potential in SU(3) Lattice QCD
• Three-Quark Potential in SU(3) Lattice QCD
• Two-terminal transport measurements with cold atoms
• Chiral and Color-superconducting Phase Transitions with Vector Interaction in a Simple Model
• Chiral and Color-superconducting Phase Transitions with Vector Interaction in a Simple Model (Addenda)
• Diquark Condensates and Compact Star Cooling
• Characteristics of hybrid compact stars with a sharp hadron-quark interface
• Tunneling transport of unitary fermions across the superfluid transition
• Continuity of vortices from the hadronic to the color-flavor locked phase in dense matter
• Keldysh study of point-contact tunneling between superconductors
• Anomalous Transport in the Superfluid Fluctuation Regime
• Anomalous Conductance of a strongly interacting Fermi Gas through a Quantum Point Contact
• Instability of a gapless color superconductor with respect to inhomogeneous fluctuations
• Andreev reflections and the quantum physics of black holes
• Multi-Particle Tunneling Transport at Strongly-Correlated Interfaces
• Black holes as Andreev reflecting mirrors
• Interplay between Spin Polarization and Color Superconductivity in High Density Quark Matter
• Nonequilibrium noise as a probe of pair-tunneling transport in the BCS--BEC Crossover
• Color symmetric superconductivity in a phenomenological QCD model
• Andreev reflection at QGP/CFL interface
• Neutron-quark stars: Discerning viable alternatives for the higher-density part of the equation of state of compact stars
• Transport of Spin and Mass at Normal-Superfluid Interfaces in the Unitary Fermi Gas
• Probing Goldstino excitation through the tunneling transport in a Bose-Fermi mixture with explicitly broken supersymmetry
• Spin transport between polarized Fermi gases near the ferromagnetic phase transition
• Josephson currents in neutron stars
• Dominant Andreev Reflection through Nonlinear Radio-Frequency Transport
• Magnonic spin current shot noise in an itinerant Fermi gas
• Andreev reflection at Hadron/Color superconductor interface
• Spin current generation due to differential rotation