Author

Yogeshwar Prasad

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Preprint Aug 2026

Resonance statistics, Fock-space branching, and long-range pair networks in slowly varying interacting chains

In a slowly varying aperiodic potential $h_i=h\cos(2\pi\beta i^n+\phi)$ with random power-law density interactions $V_{ij}/|i-j|^\alpha$, the resonant-object ensemble changes across $\alpha=2n$, wherever Hartree fragmentation is operative, from isolated two-level bonds to a mixture of fragmented multi-site clusters and...

Yogeshwar Prasad · 1 citation · ⚡1

Preprint Sep 2026

Hamiltonian fingerprints of a collective mode across the BCS-BEC crossover

Collective excitations can survive profound changes in the microscopic degrees of freedom that generate them. We track a layer-odd collective response from an exact weak-coupling hybridisation anchor into the paired regime of an attractive Hubbard bilayer and find that its Hamiltonian sensitivities evolve in a manner c...

Yogeshwar Prasad · 0 citations

Preprint Aug 2026

Hartree Fragmentation and Long-Range Pair Networks in Aperiodic Chains

For fermions in a slowly varying aperiodic potential with random interactions $V_{ij}/|i-j|^{\alpha}$, the potential fixes the resonance supply $N_0 \propto L^{2-n}/h$. On crossing ${\alpha}-2n$, wherever Hartree fragmentation is operative, the resonant-object ensemble reconstructs: turning-point runs fragment into clu...

Yogeshwar Prasad · 1 citation · ⚡1