Universal Bound States of Two Particles in Mixed Dimensions or Near a Mirror

TL;DR

This paper predicts novel two-body bound states in mixed-dimensional systems or near a mirror, analogous to Efimov states, with potential implications for quantum physics and material science.

Contribution

It introduces a new class of universal two-body bound states in systems with mixed dimensions or near a mirror, extending Efimov physics to these configurations.

Findings

Infinite sequence of giant two-body bound states predicted

Bound states occur in systems with particles in mixed dimensions or near a mirror

Potential for experimental realization in quantum systems

Abstract

Some novel TWO-body effects analogous to the well-known THREE-body Efimov effect are predicted. In the systems considered, particle A is constrained on a TRUNCATED or BENT one-dimensional line or two-dimensional plane, or on one side of a flat mirror in three dimensions (3D). The constraining potential is fine-tuned such that particle A's ground state wave function is a constant in the region in which it is constrained. Particle B moves in 3D and interacts with particle A resonantly. An infinite sequence of giant two-body bound states are found in each case.