Persistent State Method for Resonances on Classical and Quantum Computers

Abstract:We introduce a new method for extracting resonance pole positions that does not require non-Hermitian extensions of a Hamiltonian. The complex resonance poles are extracted from unitary time evolution of a persistent state, a compact trial state chosen such that its survival amplitude is governed by a single exponential over an extended time window. We solve several two- and three-body systems interacting via short- and long-range forces on a lattice and show that the pole positions obtained using the persistent state method converge approximately exponentially with the linear size of the system. We also consider a gate-based quantum implementation of our method using the Rodeo algorithm and a Hamiltonian variational ansatz, and outline an extension to two-cluster scattering.

arXiv:2609.25164 [nucl-th]

(or arXiv:2609.25164v1 [nucl-th] for this version)

https://doi.org/10.48550/arXiv.2609.25164 Focus to learn more arXiv-issued DOI via DataCite (pending registration)

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