Collective Dissipation and Parameter Sensitivity in Trapped Ions Coupled to a Common Thermal Reservoir

• URL: http://arxiv.org/abs/2512.18481v1
• Date: Sat, 20 Dec 2025 19:47:32 GMT
• Title: Collective Dissipation and Parameter Sensitivity in Trapped Ions Coupled to a Common Thermal Reservoir
• Authors: C. F. P. Avalos, G. A. Prataviera, M. C. de Oliveira,
• Abstract summary: Cross-correlated dissipation influences heating, steady-state behavior, and parameter sensitivity.<n>We show that reservoir-induced correlations generate collective decay channels and, when the cross-damping rate matches the local damping, a decoherence-free normal mode.<n>For nonclassical initial states, we also show that reservoir-mediated correlations can generate or maintain entanglement, with the strongest effects occurring near the decoherence-free condition.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: We investigate the dynamics of two trapped ions interacting with a common thermal reservoir, focusing on how cross-correlated dissipation influences heating, steady-state behavior, and parameter sensitivity. Starting from a microscopic system--reservoir model, we derive the corresponding Heisenberg--Langevin equations and show that reservoir-induced correlations generate collective decay channels and, when the cross-damping rate matches the local damping, a decoherence-free normal mode that preserves memory of the initial excitations. Using the Fisher information associated with motional population measurements, we identify the parameter regimes in which cross-damping enhances the estimability of both system and reservoir properties. For nonclassical initial states, we also show that reservoir-mediated correlations can generate or maintain entanglement, with the strongest effects occurring near the decoherence-free condition.

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