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This research demonstrates that the anyon-Hubbard model can sustain exact multi-particle bound states through purely kinematic mechanisms rather than traditional attractive or repulsive forces. The discovery of stable two-, three-, and four-body clusters stabilized by motion offers new theoretical frameworks for understanding exotic quantum phases and chiral transport properties in one-dimensional systems.
Researchers Find Anyon Models Host Multiple Particle Bonds
The anyon-Hubbard model defies expectations by forming particle pairs even without traditional attraction or repulsion. For arbitrary statistical angles, it now exhibits exact two-particle bound states where bosons typically require interaction for such behaviour. This extends further, revealing previously unseen three- and four-body clusters stabilised purely through motion, offering new experimental probes via expansion dynamics.
The anyon-Hubbard model (AHM) supports exact two-, three-, and four-particle bound states differing from conventional pairings by being stabilised through kinematic mechanisms than attractive or repulsive forces. These newly observed clusters exhibit fast chiral transport properties, a characteristic enabling rapid movement along a specific direction. The anyon-Hubbard model (AHM) describes how multiple particles can bind together in one dimension through movement…
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