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- W4376988511 abstract "An open system, even if coupled weakly to a bath, can experience a non-negligible potential renormalisation, quantified by the `reorganisation energy'. Often, the microscopic system-bath coupling gives rise to a counter term which adds to the bare Hamiltonian, exactly compensating for such potential distortion. On the other hand, when describing quantum dissipative dynamics with weak-coupling master equations, a number of `Lamb-shift terms' appear which, contrary to popular belief, cannot be neglected. And yet, the practice of vanishing both the counter term and Lamb-shift contributions is almost universal; and, surprisingly, it gives excellent results. In this paper we use a damped quantum harmonic oscillator to analytically show that subtracting the reorganisation energy from the Hamiltonian and then suppressing the Lamb-shift terms from the resulting master equation, does indeed yield an excellent approximation to the exact steady state and long-time dynamics. Put differently, those seemingly unjustified steps succeed at building the asymptotic mean-force Gibbs state -- or rather, its classical limit -- into the master equation. This can noticeably increase its accuracy, specially at moderate-to-low temperatures and even up to intermediate coupling. We thus shed light on an overlooked issue that becomes critical in the calculation of heat currents in quantum thermodynamics." @default.
- W4376988511 created "2023-05-18" @default.
- W4376988511 creator A5001933237 @default.
- W4376988511 creator A5027870551 @default.
- W4376988511 date "2023-05-15" @default.
- W4376988511 modified "2023-09-29" @default.
- W4376988511 title "Potential renormalisation, Lamb shift and mean-force Gibbs state -- to shift or not to shift?" @default.
- W4376988511 doi "https://doi.org/10.48550/arxiv.2305.08941" @default.
- W4376988511 hasPublicationYear "2023" @default.
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