# Collective effects and quantum coherence in dissipative charging of quantum batteries

@article{Mayo2022CollectiveEA, title={Collective effects and quantum coherence in dissipative charging of quantum batteries}, author={Franco Mayo and Augusto J. Roncaglia}, journal={Physical Review A}, year={2022} }

We consider the dissipative charging process of quantum batteries in terms of a collisional model, where the batteries are coupled to a heat bath using non-energy preserving interactions. First, we show that for low temperatures the collective process can attain a charging power that increases polynomically with the number of batteries. The scaling we ﬁnd is N 3 that, while being grater than the bound obtained for unitary processes, it has a lower eﬃciency. Then, we study the dissipative…

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## References

SHOWING 1-10 OF 126 REFERENCES

Dissipative Charging of a Quantum Battery.

- PhysicsPhysical review letters
- 2019

It is shown that a cyclic unitary process can extract work from the thermodynamic equilibrium state of an engineered quantum dissipative process, and situations in which the extractable work is maximal, and circumstances inWhich the efficiency of the process is maximal.

Enhancing the Charging Power of Quantum Batteries.

- PhysicsPhysical review letters
- 2017

This work provides an upper bound to the achievable quantum advantage when the interaction order is restricted; i.e., at most k batteries are interacting, which constitutes a fundamental limit on the advantage offered by quantum technologies over their classical counterparts.

Quantum Speed-Up in Collisional Battery Charging.

- PhysicsPhysical review letters
- 2021

It is shown that coherent protocols can yield higher charging power than any possible incoherent strategy, demonstrating a quantum speed-up at the level of a single battery.

Bounds on the capacity and power of quantum batteries

- PhysicsPhysical Review Research
- 2020

Quantum batteries, composed of quantum cells, are expected to outperform their classical analogs. The origin of such advantages lies in the role of quantum correlations, which may arise during the…

Collective enhancement in dissipative quantum batteries.

- PhysicsPhysical review. E
- 2022

We study a quantum battery made out of N nonmutually interacting qubits coupled to a dissipative single electromagnetic field mode in a resonator. We quantify the charging energy, ergotropy, transfer…

Entanglement, coherence, and charging process of quantum batteries.

- PhysicsPhysical review. E
- 2020

By using a general approach to a two- and three-cell battery, the results suggest that entanglement is not the main resource in quantum batteries, where there is a nontrivial correlation-coherence tradeoff as a resource for the high efficiency of such quantum devices.

Extractable Work, the Role of Correlations, and Asymptotic Freedom in Quantum Batteries.

- PhysicsPhysical review letters
- 2019

It is proved that the charger-battery system is asymptotically free of such locking correlations in the N→∞ limit by proving that the fraction of energy stored in the battery that can be extracted in order to perform thermodynamic work is quantify.

High-Power Collective Charging of a Solid-State Quantum Battery.

- PhysicsPhysical review letters
- 2018

This work presents and solves a model of a QB that can be engineered in solid-state architectures and demonstrates the emergence of a quantum advantage in the charging power of Dicke QBs, which scales like sqrt[N] for N≫1.

Spin-chain model of a many-body quantum battery

- Physics
- 2018

Recently, it has been shown that energy can be deposited on a collection of quantum systems at a rate that scales super-extensively. Some of these schemes for `quantum batteries' rely on the use of…

Heat fluctuations and coherences in a quantum heat engine

- Physics
- 2012

Quantum coherence can affect the thermodynamics of small quantum systems. Coherences have been shown to affect the power generated by a quantum heat engine (QHE) which is coupled to two thermal…