Powerful harmonic charging in a quantum battery

Zhang, Yuyu; Yang, Tao; Fu, Libin; Wang, Xiaoguang

doi:10.1103/physreve.99.052106

Cited by 146 publications

(122 citation statements)

References 24 publications

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“…In recent years, with the development of quantum thermodynamics and growing demand for device miniaturization, the quantum battery (QB), as a quantum energy storage device, has been receiving increasing attention. [ 1–17 ] The QB's energy storage is known to be a charging process, where the state of the system is transferred from a low energy level to a high energy level. In general, the battery pack system comprises many battery units to supply adequate energy.…”

Section: Introductionmentioning

confidence: 99%

“…Previous studies have shown that choosing the proper type of charging field plays an important role in reducing the charging time. [ 9,10,12,13,18 ] For example, charging with a harmonic driving field is more efficient than charging with a steady one. [ 8,13 ] In addition, a charging process that contains entangling operations has a collective quantum advantage, where the charging speed increases with the number of battery units.…”

Section: Introductionmentioning

confidence: 99%

“…[ 9,10,12,13,18 ] For example, charging with a harmonic driving field is more efficient than charging with a steady one. [ 8,13 ] In addition, a charging process that contains entangling operations has a collective quantum advantage, where the charging speed increases with the number of battery units. [ 9,10,18 ] With a proper charging field

V (t)

, the QBs can be fully charged, and the stored energy reaches the maximum

E_{\max}

during the charging process.…”

Section: Introductionmentioning

confidence: 99%

“…It can be described by the charged state

(\begin{matrix} 1 \\ 0 \end{matrix})

and the uncharged state

(\begin{matrix} 0 \\ 1 \end{matrix})

. [ 8,13 ] Thus, the Hamiltonian of QBs can be written as

H_{0} = \sum_{i} \frac{1}{2} ω_{0}^{(i)} σ_{z}^{i}

(setting

ℏ = 1

), where

ω_{0}^{false(i false)}

is the stored energy of a single charged QB unit. We assumed that the QB units are identical (i.e.,

ω_{0}^{(i)} = ω_{0}

), so

H_{0} = \frac{1}{2} ω_{0} \sum_{i = 1}^{N} σ_{i}^{z} = ω_{0} J_{z}

.…”

Section: Introductionmentioning

confidence: 99%

“…We assumed that the QB units are identical (i.e.,

ω_{0}^{(i)} = ω_{0}

), so

H_{0} = \frac{1}{2} ω_{0} \sum_{i = 1}^{N} σ_{i}^{z} = ω_{0} J_{z}

. [ 8,13 ] Then, we can choose the general harmonic charging field to be

V false(t false) = \sum_{i = x, y, z} A_{i} \cos false(ω_{i} t + ϕ_{i} false) J_{i}

, where

A_{i}, ω_{i}, ϕ_{i}, i = x, y, z

are the driving strengths, driving frequencies and initial phases, respectively, in the three orthogonal directions. Thus, the Hamiltonian of the whole charging system is expressed as

H (t) = ω_{0} J_{z} + \sum_{i = x, y, z} A_{i} \cos (ω_{i} t + ϕ_{i}) J_{i}

This is a quantum‐driven system that can be described by the Dicke states

| s, m ⟩ (m = - s, - s + 1, \dots, s)

(i.e., the eigenstates of J 2 and

J_{z}

).…”

Section: Introductionmentioning

confidence: 99%

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Charging Quantum Batteries with a General Harmonic Driving Field

et al. 2020

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A general harmonic driving field was considered for improving the charging efficiency of the quantum battery system. Charge saturation was used to describe the charging efficiency, where the charging mode is divided into saturated and unsaturated. The relationships between the time-dependent charge saturation and parameters of the general driving field were evaluated both analytically and numerically. The Floquet theorem was used to express time-dependent charge saturation with the quasienergy and Floquet states of the system. The analytical and numerical results were used to identify the best parameter values for optimizing the charging efficiency.

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

V (t)

, the QBs can be fully charged, and the stored energy reaches the maximum

E_{\max}

during the charging process.…”

Section: Introductionmentioning

confidence: 99%

“…It can be described by the charged state

(\begin{matrix} 1 \\ 0 \end{matrix})

and the uncharged state

(\begin{matrix} 0 \\ 1 \end{matrix})

. [ 8,13 ] Thus, the Hamiltonian of QBs can be written as

H_{0} = \sum_{i} \frac{1}{2} ω_{0}^{(i)} σ_{z}^{i}

(setting

ℏ = 1

), where

ω_{0}^{false(i false)}

is the stored energy of a single charged QB unit. We assumed that the QB units are identical (i.e.,

ω_{0}^{(i)} = ω_{0}

), so

H_{0} = \frac{1}{2} ω_{0} \sum_{i = 1}^{N} σ_{i}^{z} = ω_{0} J_{z}

.…”

Section: Introductionmentioning

confidence: 99%

“…We assumed that the QB units are identical (i.e.,

ω_{0}^{(i)} = ω_{0}

), so

H_{0} = \frac{1}{2} ω_{0} \sum_{i = 1}^{N} σ_{i}^{z} = ω_{0} J_{z}

. [ 8,13 ] Then, we can choose the general harmonic charging field to be

V false(t false) = \sum_{i = x, y, z} A_{i} \cos false(ω_{i} t + ϕ_{i} false) J_{i}

, where

A_{i}, ω_{i}, ϕ_{i}, i = x, y, z

are the driving strengths, driving frequencies and initial phases, respectively, in the three orthogonal directions. Thus, the Hamiltonian of the whole charging system is expressed as

H (t) = ω_{0} J_{z} + \sum_{i = x, y, z} A_{i} \cos (ω_{i} t + ϕ_{i}) J_{i}

This is a quantum‐driven system that can be described by the Dicke states

| s, m ⟩ (m = - s, - s + 1, \dots, s)

(i.e., the eigenstates of J 2 and

J_{z}

).…”

Section: Introductionmentioning

confidence: 99%

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Charging Quantum Batteries with a General Harmonic Driving Field

et al. 2020

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Enhanced Charging in Common Environments Compared to Independent Environments for Two‐Level Systems

Chen

et al. 2022

Annalen der Physik

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The charging process of a quantum battery (i.e., a two‐level system) is studied in two scenarios, that is, a quantum battery and a charger are coupled to the common reservoir environments or coupled to their respective independent environments. In the common reservoir scenario, it is shown that the optimal charging process can be realized by increasing the number of environments and setting the same coupling strength between battery‐reservoirs and charger‐reservoirs. In the independent reservoir scenario, however, it is shown that decreasing either the number of reservoir environments or the coupling strength would enhance the charging performance. These results demonstrate that the charging performance of quantum batteries can be significantly improved by constructing common environments. This may be of help to the realization of the quantum battery with optimal charging performance in multiple environments.

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Effect of Induced Transition on the Quantum Entanglement and Coherence in Two‐Coupled Double Quantum Dot System

et al. 2023

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Studying quantum properties in solid-state systems is a significant avenue for research. In this scenario, double quantum dots appear as a versatile platform for technological breakthroughs in quantum computation and nanotechnology. This work inspects the thermal entanglement and quantum coherence in two-coupled DODs, where the system is exposed to an external stimulus that induces an electronic transition within each subsystem. The results show that the introduction of external stimulus induces a quantum level crossing that relies upon the Coulomb potential changing the degree of quantum entanglement and coherence of the system. Thus, the quantum properties of the system can be tuned by changing the transition frequency, leading to the enhancement of its quantum properties. IntroductionStudying theoretical quantum information quantifiers in condensed matter physics systems has paramount importance as a key resource for several information processing protocols.

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Powerful harmonic charging in a quantum battery

Cited by 146 publications

References 24 publications

Charging Quantum Batteries with a General Harmonic Driving Field

Charging Quantum Batteries with a General Harmonic Driving Field

Enhanced Charging in Common Environments Compared to Independent Environments for Two‐Level Systems

Effect of Induced Transition on the Quantum Entanglement and Coherence in Two‐Coupled Double Quantum Dot System

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