We investigate the optimal charging processes for several models of quantum batteries, finding how to maximize the energy stored in a given battery with a finite-time modulation of a set of external fields. We approach the problem using advanced tools of optimal control theory, highlighting the universality of some features of the optimal solutions, for instance the emergence of the well-known bang-bang behavior of timedependent external fields. The technique presented here is general, and we apply it to specific cases in which the energy is either pumped into the battery by external forces (direct charging) or transferred into it from an external charger (mediated charging). In this paper we focus on particular systems that consist of coupled qubits and harmonic oscillators, for which the optimal charging problem can be explicitly solved using a combined analytical-numerical approach based on our optimal control techniques. However, our approach can be applied to more complex setups, thus fostering the study of many-body effects in the charging process.

Optimal control methods for quantum batteries

Cavina, Vasco;Andolina, Gian Marcello;Erdman, Paolo Andrea;Giovannetti, Vittorio
2023

Abstract

We investigate the optimal charging processes for several models of quantum batteries, finding how to maximize the energy stored in a given battery with a finite-time modulation of a set of external fields. We approach the problem using advanced tools of optimal control theory, highlighting the universality of some features of the optimal solutions, for instance the emergence of the well-known bang-bang behavior of timedependent external fields. The technique presented here is general, and we apply it to specific cases in which the energy is either pumped into the battery by external forces (direct charging) or transferred into it from an external charger (mediated charging). In this paper we focus on particular systems that consist of coupled qubits and harmonic oscillators, for which the optimal charging problem can be explicitly solved using a combined analytical-numerical approach based on our optimal control techniques. However, our approach can be applied to more complex setups, thus fostering the study of many-body effects in the charging process.
2023
Settore FIS/03 - Fisica della Materia
   Continuous Variable Quantum Communications
   CiViQ
   European Commission
   Horizon 2020 Framework Programme
   820466

   Open European Quantum Key Distribution Testbed
   OPENQKD
   European Commission
   Horizon 2020 Framework Programme
   857156

   Taming complexity via Quantum Strategies: a Hybrid Integrated Photonic approach
   QUSHIP
   MUR
   PRIN 2017
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11384/142925
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