Universal relations connect asymptotic equal-time spin correlations, dynamical structure factor, and contact density in long-range quantum spin chains via effective field theory and operator product expansion, with numerical verification.
Universality in few-body systems with large scattering length
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abstract
Effective Field Theory (EFT) provides a powerful framework that exploits a separation of scales in physical systems to perform systematically improvable, model-independent calculations. Particularly interesting are few-body systems with short-range interactions and large two-body scattering length. Such systems display remarkable universal features. In systems with more than two particles, a three-body force with limit cycle behavior is required for consistent renormalization already at leading order. We will review this EFT and some of its applications in the physics of cold atoms and nuclear physics. In particular, we will discuss the possibility of an infrared limit cycle in QCD. Recent extensions of the EFT approach to the four-body system and N-boson droplets in two spatial dimensions will also be addressed.
years
2025 3verdicts
UNVERDICTED 3representative citing papers
Resonant two-magnon interactions in long-range spin chains yield Efimov three-magnon states for alpha in (2, 2.89) and semi-super Efimov states at alpha=2, confirmed by numerical solution of the Skorniakov-Ter-Martirosian equation.
Long-range interactions in quantum spin chains enable the Efimov effect for magnons by inducing continuous scale invariance in two-body states that becomes discrete in the three-body problem.
citing papers explorer
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Universal Relations in Long-range Quantum Spin Chains
Universal relations connect asymptotic equal-time spin correlations, dynamical structure factor, and contact density in long-range quantum spin chains via effective field theory and operator product expansion, with numerical verification.
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Universal Bound States in Long-range Spin Chains with an Impurity
Resonant two-magnon interactions in long-range spin chains yield Efimov three-magnon states for alpha in (2, 2.89) and semi-super Efimov states at alpha=2, confirmed by numerical solution of the Skorniakov-Ter-Martirosian equation.
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Efimov Effect in Long-range Quantum Spin Chains
Long-range interactions in quantum spin chains enable the Efimov effect for magnons by inducing continuous scale invariance in two-body states that becomes discrete in the three-body problem.