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This study introduces a hybrid variational framework designed to tackle the simulation challenges of interacting spin-boson models, specifically addressing limitations posed by unbounded bosonic Hilbert spaces and strong many-body correlations. By utilizing a compact non-Gaussian manifold without truncating the photonic field, the method achieves accurate ground-state solutions for benchmark systems like the Dicke model with reduced computational bond dimensions compared to standard DMRG approaches.
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Variational non-gaussian approach to interacting spin-boson models

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arXiv:2607.17934v1 Announce Type: new Abstract: We apply a hybrid variational framework to interacting spin-boson Hamiltonians, targeting regimes where simulations are limited by the unbounded bosonic Hilbert space and strong many-body correlations. The bosonic sector and spin-boson correlations are captured within a compact non-Gaussian variational manifold, while the minimized spin sector is obtained as the solution to an effective spin Hamiltonian. Minimization is carried out inside a self-consistent energy-minimization loop, where variational parameters are minimized and the effective Hamiltonian is solved via DMRG. The results are obtained without eliminating or truncating the photonic field. We benchmark the method on the Dicke and Dicke-Ising models by comparison to converged spin-boson DMRG, finding accurate ground-state solutions with reduced bond dimension.

Abstract:We apply a hybrid variational framework to interacting spin-boson Hamiltonians, targeting regimes where simulations are limited by the unbounded bosonic Hilbert space and strong many-body correlations. The bosonic sector and spin-boson correlations are captured within a compact non-Gaussian variational manifold, while the minimized spin sector is obtained as the solution to an effective spin Hamiltonian. Minimization is carried out inside a self-consistent energy-minimization loop, where variational parameters are minimized and the effective Hamiltonian is solved via DMRG. The results are obtained without eliminating or truncating the photonic field. We benchmark the method on the Dicke and Dicke-Ising models by comparison to converged spin-boson DMRG, finding accurate ground-state solutions with reduced bond dimension.

arXiv:2607.17934 [quant-ph]

(or arXiv:2607.17934v1 [quant-ph] for this version)

https://doi.org/10.48550/arXiv.2607.17934 Focus to learn more arXiv-issued DOI via DataCite (pending registration)

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