OpenAI reports disorder stability of the spherical Laughlin gap

For the fermionic V₁ Laughlin Hamiltonian at flux q=3(N−1), sufficiently weak projected bounded real scalar one-body potentials leave a unique ground state and a spectral gap bounded below uniformly for all sufficiently large N and all potential profiles of sup norm at most one.

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OpenAI reports disorder stability of the spherical Laughlin gap

  • Mathematics
  • Theoretical Physics

For the fermionic V₁ Laughlin Hamiltonian at flux q=3(N−1), sufficiently weak projected bounded real scalar one-body potentials leave a unique ground state and a spectral gap bounded below uniformly for all sufficiently large N and all potential profiles of sup norm at most one.

AI involvementAI-led
ImportanceMajor
Technical verificationReported
Human understandingFew

Understanding the problem

Read the background

For the fermionic V₁ Laughlin Hamiltonian at flux q=3(N−1), sufficiently weak projected bounded real scalar one-body potentials leave a unique ground state and a spectral gap bounded below uniformly for all sufficiently large N and all potential profiles of sup norm at most one.

Why it matters

If correct, establishes a uniform disorder interval for the full spherical Laughlin parent Hamiltonian.

What counts as progress

Does the full spherical Laughlin gap persist under weak bounded scalar disorder?

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