Effective atom-dimer bands of three-body lattice systems at strong coupling: exact critical mass ratios and a statistics-quasimomentum duality

arXiv:2609.33576 · math-ph, cond-mat.quant-gas, math.MP, math.SP, quant-ph · Submitted 2026-09-27 · Read on arXiv

math-ph, cond-mat.quant-gas, math.MP, math.SP, quant-ph

Submitted: 2026-09-27

Updated: 2026-09-27

Terminology

• Effective Hamiltonian — 11× in this paper · explained in 2 episodes
• Accuracy — 4× in this paper · explained in 1 episode
• Benchmark — 4× in this paper · explained in 2 episodes
• Verification — 4× in this paper · explained in 2 episodes
• Consistency — 2× in this paper · explained in 3 episodes
• Core — 2× in this paper · explained in 2 episodes
• Floquet Engineering — 2× in this paper · explained in 3 episodes
• Hilbert Space — 2× in this paper · explained in 2 episodes
• Degeneracy — 1× in this paper · explained in 3 episodes
• Spectral Gap — 1× in this paper · explained in 5 episodes

Sources

• Precise spectral asymptotics, exponential localization, and spectral gap estimates for the three-boson lattice Schr"odinger operator
• A uniform elliptic reduction, an order-matching criterion, and precision benchmarks for the strong-coupling Birman-Schwinger analysis of the lattice three-boson trimer

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