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Quadrupole response of a weakly bound bosonic trimer.

Evgeny Liverts¹, Betzalel Bazak, Nir Barnea

¹The Racah Institute of Physics, The Hebrew University, Jerusalem, Israel.

Physical Review Letters

|May 1, 2012

Summary

The inelastic response of bosonic trimers near the 3-body threshold shows exponential increases governed by unnatural exponents. These findings connect to ultracold atom experiments.

Area of Science:

Quantum mechanics
Atomic physics
Few-body systems

Background:

The Borromean region describes systems where no two particles bind independently, but all three do.
Understanding few-body systems is crucial for quantum mechanics and atomic physics.

Purpose of the Study:

To investigate the inelastic response of a bosonic trimer system.
To model the system's interaction with an external field as a photoabsorption-like process.
To analyze the trimer's response within the quadrupole approximation.

Main Methods:

Solving the Schrödinger equation using the hyperspherical-harmonics expansion.
Employing the Lorentz integral transform method to compute the reaction.
Analyzing the system's behavior in the Borromean region.

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Main Results:

The response function and sum rules exhibit exponential growth approaching the 3-body threshold.
This exponential increase is characterized by unnatural exponents.
The study establishes a link between theoretical findings and experimental observations.

Conclusions:

The inelastic response of bosonic trimers is highly sensitive to proximity to the 3-body threshold.
The observed exponential behavior with unnatural exponents offers new insights into few-body quantum systems.
Results provide a theoretical framework for interpreting radio-frequency experiments in ultracold atom systems.