What the study found
The study found that thermal bootstrap methods for matrix quantum mechanics can be improved using the Quantum Information Conic Solver. Using this approach, the thermal energies of large-N one-matrix and two-matrix anharmonic oscillators were bounded without logarithmic relaxation.
Why the authors say this matters
The authors say the stricter bootstrap bounds are important because, for the one-matrix model, they yield a value for the first long string excited energy within 0.001% of the physical value. The study also reports the first estimation from symmetry and self-consistency equations alone of the first long string coupling coefficient.
What the researchers tested
The researchers tested thermal bootstrapping methods in matrix quantum mechanics on the large-N one-matrix anharmonic oscillator and the large-N two-matrix anharmonic oscillator. They used the Quantum Information Conic Solver to produce bounds on thermal energies.
What worked and what didn't
The method worked in bounding the thermal energies of both large-N models without logarithmic relaxation. For the one-matrix model, the tightened bounds produced an estimate of the first long string excited energy within 0.001% of the physical value, and they also provided an initial estimate of the first long string coupling coefficient from symmetry and self-consistency equations alone.
What to keep in mind
The abstract does not describe limitations beyond the scope of the models studied. It also does not provide details on how broadly the method applies outside large-N matrix quantum mechanics.
Key points
- The study improved thermal bootstrap methods for matrix quantum mechanics.
- Thermal energies were bounded for large-N one-matrix and two-matrix anharmonic oscillators.
- The bounds were obtained without logarithmic relaxation.
- For the one-matrix model, the first long string excited energy was estimated within 0.001% of the physical value.
- The paper reports the first estimation of the first long string coupling coefficient from symmetry and self-consistency equations alone.
Disclosure
- Research title:
- Thermal bootstrap tightens bounds in large-N matrix models
- Authors:
- Sophia M. Adams
- Institutions:
- Astronomy and Space
- Publication date:
- 2026-04-23
- OpenAlex record:
- View
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