The Dicke model is a fundamental model in quantum optics, which describes the interaction between quantum cavity field and a large ensemble of two-level atoms. In this work, we propose an efficient charging quantum battery achieved by considering an extension Dicke model with dipole-dipole interaction and an external driving field. We focus on the influence of the atomic interaction and the driving field on the performance of the quantum battery during the charging process and find that the maximum stored energy exhibits a critical phenomenon. The maximum stored energy and maximum charging power are investigated by varying the number of atoms. When the coupling between atoms and cavity is not very strong, compared to the Dicke quantum battery, such quantum battery can achieve more stable and faster charging. In addition, the maximum charging power approximately satisfies a superlinear scaling relation P_{max}∝βN^{α}, where the quantum advantage α=1.6 can be reached via optimizing the parameters.
The Dicke model is a fundamental model in quantum optics, which describes the interaction between quantum cavity field and a large ensemble of two-level atoms. In this work, we propose an efficient charging quantum battery achieved by considering an extension Dicke model with dipole-dipole interaction and an external driving field. We focus on the influence of the atomic interaction and the driving field on the performance of the quantum battery during the charging process and find that the maximum stored energy exhibits a critical phenomenon. The maximum stored energy and maximum charging power are investigated by varying the number of atoms. When the coupling between atoms and cavity is not very strong, compared to the Dicke quantum battery, such quantum battery can achieve more stable and faster charging. In addition, the maximum charging power approximately satisfies a superlinear scaling relation P_{max}∝βN^{α}, where the quantum advantage α=1.6 can be reached via optimizing the parameters.
We investigate the charging process of quantum battery (QB) systems in an extended Dicke model with both atomic interactions and an external driving field. We focus on the effects of the atomic interaction and the external driving field on the charging performance of the QB and find that the maximum stored energy of the QB has a critical phenomenon. We analyze the critical behavior and obtain the analytical expression of the critical atomic interaction. The dependence of the maximum stored energy, the energy quantum fluctuations, and the maximum charging power on the number N of the two-level systems are also discussed. In particular, for the maximum charging power, we obtain the quantum advantage of the QB, which approximately satisfies a superlinear scaling relation ${P}_{\text{max}}\ensuremath{\propto}{N}^{\ensuremath{\alpha}}$, where scaling exponent $\ensuremath{\alpha}$ varies with the number N of the two-level systems. In the ultrastrong coupling regime, the atomic interaction can lead to faster battery charging, and the quantum advantage $\ensuremath{\alpha}=1.88$ can be achieved. While in the deep-strong coupling regime, the quantum advantage of the QB's maximum charging power is the same as that of the Dicke QB, i.e., $\ensuremath{\alpha}=1.5$.
Efficient Charging of the Quantum Battery Based on the Driven Heisenberg J1−J2J1−J2 Model
Abstract The use of an optical cavity to embed an ensemble of two‐level system, holds promise for enhancing the charging power of a quantum battery. In this study, an ultrafast charging quantum battery based on the driven Heisenberg model is proposed. Various charging performance metrics are analyzed, including energy storage, average charging power, and energy quantum fluctuation. Additionally, the dependence of the maximum energy storage and the maximum charging power on the number of atoms is also discussed. Notably, a quantum advantage is obtained in the maximum charging power, which can be approximately described by the scaling relation . When the coupling between atoms and the cavity is not strong, it is further showed that such a quantum battery can reach the quantum advantage by optimizing parameters under the collective charging scheme. Finally, regarding the external environment as a resource for auxiliary charging, a more stable charging process can be achieved for the quantum battery.
We consider a collection of two level systems, such as qubits, embedded into a microwave cavity as a promising candidate for the realization of high power quantum batteries. In this perspective, the possibility to design devices where the conventional single-photon coupling is suppressed and the dominant interaction is mediated by two-photon processes is investigated, opening the way to an even further enhancement of the charging performance. By solving a Dicke model with both single- and two-photon coupling we determine the range of parameters where the latter unconventional interaction dominates the dynamics of the system leading to better performances both in the charging times and average charging power of the QB compared to the single-photon case. In addition, the scaling of the maximum stored energy, fluctuations and charging power with the finite number of qubits N is inspected. While the energy and fluctuations scale linearly with N, the quadratic growth of the average power leads to a relevant improvement of the charging performance of quantum batteries based on this scheme with respect to the purely single-photon coupling case. Moreover, it is shown that the charging process is progressively faster by increasing the coupling from the weak to the ultra-strong regime.
Quantum batteries, which are quantum systems to be used for the storage and transformation of energy, have been recently attracting research interest. A promising candidate for their investigation is the Dicke model, which describes an ensemble of two-level systems interacting with a single-mode electromagnetic wave in a resonator cavity. In order to charge the battery, a coupling between the ensemble of two-level systems and resonator cavity should be turned off at a certain moment of time. This moment of time is chosen in such a way that the energy gets fully stored in an ensemble of two-level systems. In our previous works we have investigated a bound-luminosity superradiant state of the extended Dicke model and found analytical expressions for the dynamics of coherent energy transfer between the superradiant condensate and the ensemble of two-level systems. Here, using our previous results, we have derived analytically the superlinear law for the quantum battery charging power $P\ensuremath{\sim}{N}^{3/2}$ as a function of the number N of two-level systems in the battery, and also the N dependence for the charging time ${t}_{c}\ensuremath{\sim}{N}^{\ensuremath{-}1/2}$. The N exponent 3/2 of the charging power is in quantitative correspondence with the recent result 1.541 obtained numerically by other authors. The physics of Dicke quantum battery charging is considered in detail.
We investigate the performances of multiphoton anisotropic Dicke quantum battery (QB), which couples a finite number N of identical and independent two-level systems (TLSs) to a unique cavity mode. Each transition of TLS is accompanied by the absorption or emission of l photons from the cavity mode. In this model, the coupling constants of rotating and counterrotating wave terms are independent. Therefore, we utilize this interesting property to investigate the role of counterrotating wave terms and find that the higher the proportion of counterrotating wave terms, the higher the average power. Moreover, it is shown that the charging process is progressively faster by increasing the coupling strength from the weak to the ultrastrong and deep strong coupling regime. In the deep strong regime, the anti-Tavis-Cummings (ATC) coupling can almost achieve the optimal energy storage in a short time, which can be used to realize the feasibility of QB. Furthermore, we also analyze the effects of multiphoton interaction and single-multiphoton mixing process on the battery performances.
Quantum batteries promise enhanced energy storage performance through quantum effects, but their computational modeling typically relies on specialized quantum simulation tools that are inaccessible to most researchers. This work presents a simplified semiclassical mean-field approach that implements a Dicke-type open quantum battery in MATLAB/Simulink, enabling systematic performance analysis for systems of 100 two-level atoms — far beyond the practical reach of conventional quantum master-equation methods. Using this framework, comprehensive parameter-space exploration is carried out via heatmap analysis (41 × 41 grid, 5043 simulations) by varying the driving amplitude ( Ω a m p = 1 × 10 7 –1 × 10 8 rad/s), cavity detuning, and atomic detuning up to ±2 × 10 8 rad/s. The corrected model demonstrates that strong resonant driving ( Δ c = Δ 0 = 0, Ω a m p = 1 × 10 8 rad/s) achieves near-complete charging with η m a x = 99.93 %, while an optimally engineered cavity detuning ( Δ c = 2 × 10 7 rad/s, Δ 0 = 0) yields η m a x = 99.00 % at approximately one-third the drive amplitude — demonstrating that careful frequency engineering can substitute for drive power as a route to near-unity charging efficiency. This represents a 2.4-fold improvement over the large-detuning case ( η m a x = 44.87 %), attributed to the interplay between dark-state formation and spin-cavity coupling efficiency. Independent validation against MATLAB's ode45 confirmed model accuracy with maximum relative errors below 2.55 × 10 −4 %, and individual simulations complete in approximately 7 s on a standard desktop computer.