The simulator shows how tuning the two-body scattering length toward the unitary limit, where it approaches infinity, causes an infinite geometric ladder of three-body Efimov bound states to appear, with each state's size and binding energy related to its neighbors by the universal scaling factor of about 22.7.
Adjust the scattering length slider to move the interaction strength toward and through the unitary limit, and watch the Efimov energy ladder populate on the accompanying spectrum plot. Toggle between different mass ratios or particle combinations to see how the geometric scaling factor between successive states changes, and switch on the three-body recombination loss-rate view to see how each Efimov state produces a resonant peak, the same type of signal used in the 2006 cesium discovery experiment.
Sliders for two-body scattering length (including a unitary-limit toggle), particle mass ratio and species selection, a display switch between the energy-ladder spectrum and the three-body loss-rate curve, and a zoom control to inspect the self-similar, discretely scale-invariant structure of consecutive Efimov states.
Did you know that in the strict theoretical limit of a true zero-range interaction, the Efimov ladder extends infinitely both to larger sizes and to states arbitrarily close to zero binding energy, yet in real ultracold gas experiments only a handful of the largest, most weakly bound rungs, typically two or three, are ever within experimental reach before the finite range of real atomic interactions cuts the pattern off.
The simulator shows how tuning the two-body scattering length toward the unitary limit, where it approaches infinity, causes an infinite geometric ladder of three-body Efimov bound states to appear, with each state's size and binding energy related to its neighbors by the universal scaling factor of about 22.7.
The simulator shows how tuning the two-body scattering length toward the unitary limit, where it approaches infinity, causes an infinite geometric ladder of three-body Efimov bound states to appear, with each state's size and binding energy related to its neighbors by the universal scaling factor of about 22.7.
Adjust the scattering length slider to move the interaction strength toward and through the unitary limit, and watch the Efimov energy ladder populate on the accompanying spectrum plot. Toggle between different mass ratios or particle combinations to see how the geometric scaling factor between successive states changes, and switch on the three-body recombination loss-rate view to see how each Efimov state produces a resonant peak, the same type of signal used in the 2006 cesium discovery experiment.
Did you know that in the strict theoretical limit of a true zero-range interaction, the Efimov ladder extends infinitely both to larger sizes and to states arbitrarily close to zero binding energy, yet in real ultracold gas experiments only a handful of the largest, most weakly bound rungs, typically two or three, are ever within experimental reach before the finite range of real atomic interactions cuts the pattern off.