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In such a case, due to the symmetry, we expect that the covariance matrix remains invariant under the change of labels 1 and 3

A special case Here we derive the covariance matrix of the steady state for a special case: Jℓ(ω0) = Jr(ω0) =: J(ω0), the two bath temperatures are equal (¯nℓ(ω0) = ¯nr(ω0) =: ¯

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An open harmonic chain: Exact vs global and local reduced dynamics

quant-ph · 2025-05-22 · conditional · novelty 5.0

For a three-oscillator chain with two unequal-temperature baths, the local GKSL master equation is numerically closer to the exact dynamics for weak inter-oscillator coupling, while the global equation wins above a temperature-dependent critical coupling.

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  • An open harmonic chain: Exact vs global and local reduced dynamics quant-ph · 2025-05-22 · conditional · none · ref 2

    For a three-oscillator chain with two unequal-temperature baths, the local GKSL master equation is numerically closer to the exact dynamics for weak inter-oscillator coupling, while the global equation wins above a temperature-dependent critical coupling.