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.
Liberating Efimov physics from three dimensions
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abstract
When two particles attract via a resonant short-range interaction, three particles always form an infinite tower of bound states characterized by a discrete scaling symmetry. It has been considered that this Efimov effect exists only in three dimensions. Here we review how the Efimov physics can be liberated from three dimensions by considering two-body and three-body interactions in mixed dimensions and four-body interaction in one dimension. In such new systems, intriguing phenomena appear, such as confinement-induced Efimov effect, Bose-Fermi crossover in Efimov spectrum, and formation of interlayer Efimov trimers. Some of them are observable in ultracold atom experiments and we believe that this study significantly broadens our horizons of universal Efimov physics.
years
2025 2verdicts
UNVERDICTED 2representative citing papers
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 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.