Quantum phase transition for the BEC--BCS crossover in condensed matter physics and CPT violation in elementary particle physics

Abstract

We discuss the quantum phase transition that separates a vacuum state with fully-gapped fermion spectrum from a vacuum state with topologically-protected Fermi points (gap nodes). In the context of condensed-matter physics, such a quantum phase transition with Fermi point splitting may occur for a system of ultracold fermionic atoms in the region of the BEC-BCS crossover, provided Cooper pairing occurs in the non-s-wave channel. For elementary particle physics, the splitting of Fermi points may lead to CPT violation, neutrino oscillations, and other phenomena.

13 pages, 1 figure, v3: published version

References in corpus (4)

• Crossover from a molecular Bose-Einstein condensate to a degenerate Fermi gas
• P-wave Feshbach resonances of ultra-cold ${}^6$Li
• Feshbach Resonances in Fermionic Lithium-6
• Lorentz-noninvariant neutrino oscillations: model and predictions

Cited by in corpus (25)

• Thermodynamics of the BCS-BEC crossover
• BCS-BEC Crossover and the Unitary Fermi Gas
• Quantum phase transitions from topology in momentum space
• Quantum phase transitions across p-wave Feshbach resonance
• Anisotropic Fermi Superfluid via p-wave Feshbach Resonance
• Three fully polarized fermions close to a p-wave Feshbach resonance
• Topologically protected surface Majorana arcs and bulk Weyl fermions in ferromagnetic superconductors
• Strongly-resonant p-wave superfluids
• Superfluidity and phase transitions in a resonant Bose gas
• Cosmological constant and vacuum energy
• Structure and consequences of vortex-core states in p-wave superfluids
• The scattering amplitude of ultracold atoms near the p-wave magnetic Feshbach Resonance
• Quantum phases of Fermi-Fermi mixtures in optical lattices
• Possible new source of T and CP violation in neutrino oscillations
• More on a possible energy dependence of Theta_13 in vacuum neutrino oscillations
• Lorentz-noninvariant neutrino oscillations: model and predictions
• Pairing Symmetry in the Anisotropic Fermi Superfluid under p-wave Feshbach Resonance
• Maxwell-Chern-Simons theory for curved spacetime backgrounds
• Dirac and Weyl fermions: from Gor'kov equations to Standard Model (in memory of Lev Petrovich Gorkov)
• Anomalous quantum mass flow of atoms in p-wave resonance
• Superfluid pairing in a mixture of a spin-polarized Fermi gas and a dipolar condensate
• Possible energy-dependence of Theta_13 in neutrino oscillations
• Paired fermionic superfluids with s- and p-wave interactions
• Momentum space topology and quantum phase transitions
• Lorentz and CPT violation: a simple neutrino-oscillation model