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Related Concept Videos

Continuous Charge Distributions01:17

Continuous Charge Distributions

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Imagine a bucket of water. It contains many molecules, of the order of 1026 molecules. Thus, although it contains discrete elements (molecules) at the microscopic level, macroscopically, it can be considered continuous. Small volume elements of water, infinitesimal compared to the bulk of the bucket's volume, still contain many molecules. Under this framework, quantized matter is approximated as continuous for practical purposes.
The electric charge can also be subjected to an analogical...
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Energy Stored in a Capacitor01:12

Energy Stored in a Capacitor

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When an archer pulls the string in a bow, he saves the work done in the form of elastic potential energy. When he releases the string, the potential energy is released as kinetic energy of the arrow. A capacitor works on the same principle in which the work done is saved as electric potential energy. The potential energy (UC) could be calculated by measuring the work done (W) to charge the capacitor.
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Energy Stored in Capacitors01:10

Energy Stored in Capacitors

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A parallel plate capacitor, when connected to a battery, develops a potential difference across its plates. This potential difference is key to the operation of the capacitor, as it determines how much electrical energy the capacitor can store.
By integrating the equation that relates voltage and current in a capacitor, one can derive an equation for the voltage across the capacitor at any given time. This equation is crucial in understanding and predicting the behavior of capacitors in...
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DC Battery01:21

DC Battery

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A conductor needs to be a component of a path that creates a closed loop or full circuit to have a continuous current flowing through it. A current starts to flow if an electric field is created inside an isolated conductor that is not part of a full circuit. The conductor quickly develops a net positive charge at one end and a net negative charge at the other. These charges generate an electric field opposite the direction of the applied electric field, which reduces the current. Eventually,...
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Energy Associated With a Charge Distribution01:21

Energy Associated With a Charge Distribution

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The work done to bring a charge through a distance r is given by the potential difference between the initial and the final position. To assemble a collection of point charges, the total work done can be expressed in terms of the product of each pair of charges divided by their separation distance, defined with respect to a suitable origin. Solving this expression gives the energy stored in a point charge distribution.
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Energy Stored in a Capacitor: Problem Solving01:26

Energy Stored in a Capacitor: Problem Solving

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In 1749, Benjamin Franklin coined the word battery for a series of capacitors connected to store energy. Capacitors store electric potential energy that can be released over a short time. This property means capacitors have a wide range of applications.
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Related Experiment Video

Updated: Jan 11, 2026

Generation and Coherent Control of Pulsed Quantum Frequency Combs
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Energy storage in a continuous-variable quantum battery with nonlinear coupling.

C A Downing1, M S Ukhtary2

  • 1University of Exeter, Department of Physics and Astronomy, Exeter EX4 4QL, United Kingdom.

Physical Review. E
|November 18, 2025
PubMed
Summary

Quantum batteries can power future devices, but not all stored energy is usable. This study links maximum extractable energy to Heisenberg's uncertainty principle, showing minimum uncertainty ensures full energy withdrawal for quantum batteries.

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Area of Science:

  • Quantum physics
  • Quantum energy storage
  • Quantum thermodynamics

Background:

  • Quantum batteries leverage nonclassical phenomena for enhanced energy storage.
  • Not all energy stored in quantum batteries is thermodynamically available for work.
  • Understanding energy extractability is crucial for practical quantum battery applications.

Purpose of the Study:

  • To investigate the relationship between maximum extractable energy and Heisenberg's uncertainty principle in bosonic quantum batteries.
  • To explore how minimum uncertainty states can guarantee full energy withdrawal from quantum batteries.
  • To analyze the charging performance of continuous-variable quantum batteries with linear and nonlinear couplings.

Main Methods:

  • Theoretical modeling of bosonic quantum batteries using quantum continuous variables.
  • Analysis of energy extractability in relation to Heisenberg's uncertainty principle.
  • Characterization of quantum squeezing for achieving minimum uncertainty states in nonlinear systems.

Main Results:

  • Maximum extractable energy from bosonic quantum batteries is directly related to Heisenberg's uncertainty principle.
  • Achieving minimum uncertainty in Gaussian quantum batteries ensures all stored energy can be used for work.
  • Nonlinear coupling in quantum batteries allows for nontrivial achievement of minimum uncertainty via quantum squeezing.

Conclusions:

  • Minimum uncertainty is key to maximizing useful energy extraction from quantum batteries.
  • Quantum squeezing offers a pathway to achieve minimum uncertainty in nonlinear quantum batteries.
  • These findings provide a theoretical framework for designing efficient bosonic quantum batteries for future quantum technologies.