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A thermodynamic approach to optimization in complex quantum systems

A thermodynamic approach to optimization in complex quantum systems

Authors :
Imparato, Alberto
Chancellor, Nicholas
De Chiara, Gabriele
Source :
Quantum Sci. Technol. 9 025011 (2024)
Publication Year :
2023

Abstract

We consider the problem of finding the energy minimum of a complex quantum Hamiltonian by employing a non-Markovian bath prepared in a low energy state. The energy minimization problem is thus turned into a thermodynamic cooling protocol in which we repeatedly put the system of interest in contact with a colder auxiliary system. By tuning the internal parameters of the bath, we show that the optimal cooling is obtained in a regime where the bath exhibits a quantum phase transition in the thermodynamic limit. This result highlights the importance of collective effects in thermodynamic devices. We furthermore introduce a two-step protocol that combines the interaction with the bath with a measure of its energy. While this protocol does not destroy coherence in the system of interest, we show that it can further enhance the cooling effect.

Details

Database :
arXiv
Journal :
Quantum Sci. Technol. 9 025011 (2024)
Publication Type :
Report
Accession number :
edsarx.2305.06008
Document Type :
Working Paper
Full Text :
https://doi.org/10.1088/2058-9565/ad26b3