Spectral convexity for attractive SU(2N) fermions

Abstract

We prove a general theorem on spectral convexity with respect to particle number for 2N degenerate components of fermions. The number of spatial dimensions is arbitrary, and the system may be uniform or constrained by an external potential. We assume only that the interactions are governed by an SU(2N)-invariant two-body potential whose Fourier transform is negative definite. The convexity result implies that the ground state is in a 2N-particle clustering phase. We discuss implications for light nuclei as well as asymmetric nuclear matter in neutron stars.

arXiv comment10 pages, 2 figures; references added

References in corpus (32)

• Universality in Few-body Systems with Large Scattering Length
• Evidence for Efimov quantum states in an ultracold gas of cesium atoms
• Alpha cluster condensation in 12C and 16O
• Renormalization of the Three-Body System with Short-Range Interactions
• The Three-Boson System with Short-Range Interactions
• Exact SO(5) Symmetry in spin 3/2 fermionic system
• Effective Theory of the Triton
• Four-particle condensate in strongly coupled fermion systems
• A sufficient condition for the absence of the sign problem in the fermionic quantum Monte-Carlo algorithm
• The Four-Boson System with Short-Range Interactions
• Competing orders in one dimensional spin 3/2 fermionic systems
• Hidden symmetry and quantum phases in spin-3/2 cold atomic systems
• Dilute Multi Alpha Cluster States in Nuclei
• The Spin-Flavor Dependence of Nuclear Forces from Large-N QCD
• On the correlation between the binding energies of the triton and the alpha-particle
• Lattice Simulations for Light Nuclei: Chiral Effective Field Theory at Leading Order
• Resonance saturation for four-nucleon operators
• The Nucleon-Nucleon Potential in the 1/N_c Expansion
• Confinement and Superfluidity in one-dimensional Degenerate Fermionic Cold Atoms
• Wigner symmetry in the limit of large scattering lengths
• Description of 8Be as Deformed Gas-like Two-Alpha-Paricle States
• Universal Properties of Two-Dimensional Boson Droplets
• Pairing in a three component Fermi gas
• Ground state energy of spin-1/2 fermions in the unitary limit
• Superfluidity in a Three-flavor Fermi Gas with SU(3) Symmetry
• Inequalities for Light Nuclei in the Wigner Symmetry Limit
• The triton and three-nucleon force in nuclear lattice simulations
• On Quartet Superfluidity of Fermionic Atomic Gas
• Large-N droplets in two dimensions
• Threshold behavior of bosonic two-dimensional few-body systems
• Inequalities for low-energy symmetric nuclear matter
• Pressure inequalities for nuclear and neutron matter

Cited by in corpus (26)

• Microscopic Clustering in Light Nuclei
• Ab initio alpha-alpha scattering
• Symmetry-guided large-scale shell-model theory
• Nuclear binding near a quantum phase transition
• Molecular superfluid phase in systems of one-dimensional multicomponent fermionic cold atoms
• Ground state energy of dilute neutron matter at next-to-leading order in lattice chiral effective field theory
• Lattice calculations for A=3,4,6,12 nuclei using chiral effective field theory
• Spin 3/2 fermions with attractive interactions in a one-dimensional optical lattice: phase diagrams, entanglement entropy, and the effect of the trap
• Benchmark calculations for elastic fermion-dimer scattering
• Exotic many-body physics with large-spin Fermi gases
• Anthropic considerations in nuclear physics
• Quantum magnetism of ultra-cold fermion systems with the symplectic symmetry
• Dilute neutron matter on the lattice at next-to-leading order in chiral effective field theory
• Hidden spin-isospin exchange symmetry
• Competing Orders in One-Dimensional Half-Integer Fermionic Cold Atoms: A Conformal Field Theory Approach
• The symmetric heavy-light ansatz
• Structure Factors for Hot Neutron Matter from Ab Initio Lattice Simulations with High-Fidelity Chiral Interactions
• Composition of nuclear matter with light clusters and Bose-Einstein condensation of $\alpha$ particles
• Effective interactions between nuclear clusters
• Parity effect in a mesoscopic Fermi gas
• Lattice Effective Field Theory Simulations of Nuclei
• Mesoscopic pairing without superconductivity
• Convexity of the entanglement energy of SU($2N$)-symmetric fermions with attractive interactions
• Few-to-many-particle crossover of pair excitations in a superfluid
• Chiral Effective Field Theory after Thirty Years: Nuclear Lattice Simulations
• Nuclear Lattice Simulations using Symmetry-Sign Extrapolation