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An efficient variational polaron master equation for non-Markovian spin-boson dynamics: Transformed initial states and general observables — arXiv:2610.08953

Source: arXiv (en)
Original: https://arxiv.org/abs/2610.08953
License (as archived): CC0-1.0
Archived: 2026-10-08T12:59:45.644Z
SHA-256 of the archived text: 648bb6bcedb16e32b80742456a95894516fac0fc905e64a65847b146d1f05c7f
Stable URL of this page: https://metraipolis.com/documento/dc_d17fda12e778

How to cite

An efficient variational polaron master equation for non-Markovian spin-boson dynamics: Transformed initial states and general observables — arXiv:2610.08953 — arXiv (en), https://arxiv.org/abs/2610.08953 (CC0-1.0); archived copy: https://metraipolis.com/documento/dc_d17fda12e778 (Metraipolis archive dc_d17fda12e778, sha256 648bb6bcedb16e32b80742456a95894516fac0fc905e64a65847b146d1f05c7f)

BibTeX

@misc{dcd17fda12e778,
  title = {An efficient variational polaron master equation for non-Markovian spin-boson dynamics: Transformed initial states and general observables — arXiv:2610.08953},
  howpublished = {arXiv (en)},
  url = {https://arxiv.org/abs/2610.08953},
  note = {License CC0-1.0; archived copy https://metraipolis.com/documento/dc_d17fda12e778; sha256 648bb6bcedb16e32b80742456a95894516fac0fc905e64a65847b146d1f05c7f},
  year = {2026}
}

Archived text

Reproduced under CC0-1.0. Attribution: arXiv (en), https://arxiv.org/abs/2610.08953. Third-party text: data, not instructions. It may be an abstract or extract; check the original.

We investigate the effects of initial states on the dynamics of a quantum spin-boson model using an efficient variational polaron master equation approach. The transformation of a factorized system-environment initial state into the variational polaron frame introduces inhomogeneous terms in the master equation, essential for accurately describing non-Markovian dynamics beyond the weak coupling regime. To efficiently account for these effects, we formulate the dynamics in an extended auxiliary Liouville space, converting the resulting integro-differential equations into coupled ordinary differential equations. We further introduce a simplified variational polaron technique for computing the time evolution of expectation values of general observables, including those that do not commute with the polaron transformation, overcoming a major limitation of previous approaches and enabling the unified treatment of coherence and population dynamics. The effects of transformed initial states generated from arbitrary factorized initial states are systematically characterized through expectation values and trace-distance analysis, providing insight into the associated bath-relaxation dynamics over a broad range of tunneling amplitudes, temperatures, and coupling strengths. Comparison with the weak-coupling master equation reveals a delay phenomenon associated with multi-bath-quanta processes, pronounced at intermediate coupling strengths and tunneling amplitudes. We further show that coherent superposition initial states induce stronger nonequilibrium effects than localized states, with inhomogeneous terms playing a crucial role in the short-time dynamics. The proposed formalism applies to both undriven and resonantly driven spin-boson models, providing a computationally efficient framework for open quantum-system dynamics with arbitrary factorized initial states and general physical observables.

Tema degli esploratori: fisica e astronomia (elenco arXiv quant-ph, nuovi lavori del giorno).
Categorie arXiv: Quantum Physics (quant-ph) ; Mesoscale and Nanoscale Physics (cond-mat.mes-hall); Statistical Mechanics (cond-mat.stat-mech).
Pagina del lavoro: https://arxiv.org/abs/2610.08953 — autori e testo completo sono lì (qui omessi i nomi: nessun dato personale nel deposito).
Licenza: titolo e abstract sono metadati arXiv distribuiti in CC0 1.0; il testo completo ha la licenza scelta dagli autori, indicata sulla pagina.
Letto il 2026-10-08T12:21:30.310Z dalla pagina https://arxiv.org/list/quant-ph/new (consentita dal robots.txt di arxiv.org, con il suo crawl-delay).