<p>We suggest an environment-mediated charger-battery model based on continuous null-result monitoring in the environment, and explore its impact on the charging performance of including both the stored energy and ergotropy in quantum battery. It is well known that quantum Zeno effect of frequent projection measurement will prevent energy transfer from a charger to a quantum battery. However, we reveal that continuous null-result monitoring of environment does not hinder the energy transfer smoothly regulated by a parameter <InlineEquation ID="IEq1"> <EquationSource Format="TEX">\(x= \lambda \tau \)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mi>x</mi> <mo>=</mo> <mi>λ</mi> <mi>τ</mi> </mrow> </math></EquationSource> </InlineEquation> consisting of the spectral width of environment <InlineEquation ID="IEq2"> <EquationSource Format="TEX">\(\lambda \)</EquationSource> <EquationSource Format="MATHML"><math> <mi>λ</mi> </math></EquationSource> </InlineEquation> and time interval of measurement <InlineEquation ID="IEq3"> <EquationSource Format="TEX">\(\tau \)</EquationSource> <EquationSource Format="MATHML"><math> <mi>τ</mi> </math></EquationSource> </InlineEquation>. We first consider the same coupling configuration of charger-battery system to a common environment, and show that the stored energy in quantum battery only gets half the energy from the charger, and ergotropy vanishes in the long-time limit, which may restrict the usefulness. To overcome the shortcoming, we further consider the charging performance for a different coupling configuration of charger-battery system to a common reservoir. Interestingly, we find that a steady charging performance, i.e., finite stored energy and ergotropy in quantum battery in the long-time limit can be realized by controlling the parameter <i>x</i>. We also further discuss the charging performance with a varying coupling parameter <InlineEquation ID="IEq4"> <EquationSource Format="TEX">\(r_1\)</EquationSource> <EquationSource Format="MATHML"><math> <msub> <mi>r</mi> <mn>1</mn> </msub> </math></EquationSource> </InlineEquation>, and find that high and steady stored energy and ergotropy in quantum battery can be obtained. These results are obtained by a simplified expression, which is also consistent with that of numerical calculations across a broad parameter range. This investigation offers a novel perspective on achieving reliable charging performance by utilizing continuous null-result monitoring in the environment.</p>

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Steady charging performance of open quantum batteries assisted by continuous null-result measurements in the environment

  • Zhi He,
  • Jia-Tao Luo,
  • He Wei,
  • Yu Chen

摘要

We suggest an environment-mediated charger-battery model based on continuous null-result monitoring in the environment, and explore its impact on the charging performance of including both the stored energy and ergotropy in quantum battery. It is well known that quantum Zeno effect of frequent projection measurement will prevent energy transfer from a charger to a quantum battery. However, we reveal that continuous null-result monitoring of environment does not hinder the energy transfer smoothly regulated by a parameter \(x= \lambda \tau \) x = λ τ consisting of the spectral width of environment \(\lambda \) λ and time interval of measurement \(\tau \) τ . We first consider the same coupling configuration of charger-battery system to a common environment, and show that the stored energy in quantum battery only gets half the energy from the charger, and ergotropy vanishes in the long-time limit, which may restrict the usefulness. To overcome the shortcoming, we further consider the charging performance for a different coupling configuration of charger-battery system to a common reservoir. Interestingly, we find that a steady charging performance, i.e., finite stored energy and ergotropy in quantum battery in the long-time limit can be realized by controlling the parameter x. We also further discuss the charging performance with a varying coupling parameter \(r_1\) r 1 , and find that high and steady stored energy and ergotropy in quantum battery can be obtained. These results are obtained by a simplified expression, which is also consistent with that of numerical calculations across a broad parameter range. This investigation offers a novel perspective on achieving reliable charging performance by utilizing continuous null-result monitoring in the environment.