Spectral Localization in Cavity-Mediated Entanglement Harvesting

Abstract

We investigate the relation between spectral localization and entanglement harvesting in an analytically solvable model of two qubits coupled to a leaky single-mode cavity, which in turn couples to a continuous electromagnetic bath. We derive the no-jump concurrence at a prescribed reference gate time in closed form, 𝒞_g(Q)=2e^−π/(2Q)(1+e^−π/(2Q))/(1+3e^−π/Q), where Q≡|Δ|/κ is the ratio of the qubit-cavity detuning Δ to the cavity linewidth κ. This reference time is inherited from the first maximally entangling unitary gate. At finite loss, 𝒞_g is the conditional concurrence at this prescribed readout time. In the high-Q limit, 𝒞_g≃1−π²/(16Q²), while in the low-Q limit it decays exponentially. For the Lorentzian spectral family, Q is proportional to a detuning-normalized inverse participation ratio and simultaneously measures the balance between coherent exchange and collective decay. This yields a compact, model-specific description of the crossover from nearly unit conditional entanglement to overdamped suppression. The predicted 𝒞_g(Q) curve can, in principle, be examined in circuit QED with ideal monitoring and no-jump post-selection.

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BibTeX RIS

BibTeX

@misc{xu2026spectral,
  title = {{Spectral Localization in Cavity-Mediated Entanglement Harvesting}},
  author = {Hao Xu},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2608.13449},
  eprint = {2608.13449},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2608.13449},
  note = {CC BY 4.0},
}

RIS

TY  - UNPB
TI  - Spectral Localization in Cavity-Mediated Entanglement Harvesting
AU  - Hao Xu
PY  - 2026
DA  - 2026/10/17
PB  - arXiv
DO  - 10.48550/arxiv.2608.13449
UR  - https://arxiv.org/abs/2608.13449
AB  - We investigate the relation between spectral localization and entanglement harvesting in an analytically solvable model of two qubits coupled to a leaky single-mode cavity, which in turn couples to a continuous electromagnetic bath. We derive the no-jump concurrence at a prescribed reference gate time in closed form, 𝒞_g(Q)=2e^−π/(2Q)(1+e^−π/(2Q))/(1+3e^−π/Q), where Q≡|Δ|/κ is the ratio of the qubit-cavity detuning Δ to the cavity linewidth κ. This reference time is inherited from the first maximally entangling unitary gate. At finite loss, 𝒞_g is the conditional concurrence at this prescribed readout time. In the high-Q limit, 𝒞_g≃1−π^2/(16Q^2), while in the low-Q limit it decays exponentially. For the Lorentzian spectral family, Q is proportional to a detuning-normalized inverse participation ratio and simultaneously measures the balance between coherent exchange and collective decay. This yields a compact, model-specific description of the crossover from nearly unit conditional entanglement to overdamped suppression. The predicted 𝒞_g(Q) curve can, in principle, be examined in circuit QED with ideal monitoring and no-jump post-selection.
ER  -

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