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.
Number of closed-channel molecules in the BEC-BCS crossover
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abstract
Using a two-channel model, we show that the number of closed channel molecules in a two-component Fermi gas close to a Feshbach resonance is directly related to the derivative of the energy of the gas with respect to the inverse scattering length. We extract this quantity from the fixed node Monte-Carlo equation of state and we compare to the number of closed channel molecules measured in the Rice experiment with lithium [Partridge et al., Phys. Rev. Lett. 95, 020404 (2005)]. We also discuss the effect of a difference between the trapping potentials seen by a closed-channel molecule and by an open-channel pair of atoms in terms of an effective position-dependent scattering length.
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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.