Failure of the geometric approach prediction of excess work scaling for open and isolated quantum systems

Autor(es)

Soriani, Artur ; Miranda, Eduardo ; Bonanca, Marcus V. S.

• Tipo de documento: Artigo Científico
• Fonte: NEW JOURNAL OF PHYSICS; v. 24, n. 11, p. 22-pg., 2022-11-01.

Resumo

The task of finding optimal protocols that minimize the energetic cost of thermodynamic processes of long yet finite duration tau is a pressing one. We approach this problem here in a rigorous and systematic fashion by means of the adiabatic perturbation theory of closed Hamiltonian quantum systems. Our main finding is a 1/tau (2) scaling of the excess work for large tau in gapped systems. This result is at odds with the asymptotic 1/tau prediction of the geometric approach to optimization, which is predicated on the slow evolution of open systems close to canonical equilibrium. In contrast, our approach does not lead to an obvious geometric interpretation. Furthermore, as the thermodynamic work does not depend on how an isolated quantum system is split into a system of interest and its environment, our results imply the failure of the geometric approach prediction even for open systems. Additionally, we provide alternative optimization procedures, both for slowly-varying processes described by adiabatic perturbation theory and for weakly-varying processes described by linear response theory. Our findings are benchmarked and confirmed through the application to the driven transverse-field Ising chain. (AU)

• Processo FAPESP: 20/02170-4 - Processo termodinâmicos ótimos em sistemas fora do equilíbrio
• Beneficiário: Marcus Vinicius Segantini Bonança
• Modalidade de apoio: Auxílio à Pesquisa - Regular