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We propose an innovative design for quantum batteries (QBs) that involves coupling two-level systems to a topological photonic waveguide. Employing the resolvent method, we analytically explore the thermodynamic performances of QBs. First, we demonstrate that in the long-time limit, only bound states significantly contribute to the stored energy of QBs. We observe that near-perfect energy transfer can occur in the topologically nontrivial phase. Moreover, the maximum stored energy exhibits singular behavior at the phase boundaries, where the number of bound states undergoes a transition. Second, when a quantum battery and a quantum charger are coupled at the same sublattice within a unit cell, the ergotropy becomes immune to dissipation at that location, facilitated by a dark state and a topologically robust dressed bound state. Third, we show that as dissipation intensifies along with the emergence of the quantum Zeno effect, the charging power of QBs experiences a temporary boost. Our findings offer valuable guidance for improving quantum battery performance through structured reservoir engineering., Comment: 8 + 16 pages, 3 + 7 figures. Revised version

Motivated by entanglement protection, our work utilizes a resonance effect to enhance optomechanical entanglement in the coherent-state representation. We propose a filtering model to filter out the significant detuning components between a thermal-mechanical mode and its surrounding heat baths in the weak coupling limit. We reveal that protecting continuous-variable entanglement involves the elimination of degrees of freedom associated with significant detuning components, thereby resisting decoherence. We construct a nonlinear Langevin equation of the filtering model and numerically show that the filtering model doubles the robustness of the stationary maximum optomechanical entanglement to the thermal fluctuation noise and mechanical damping. Furthermore, we generalize these results to an optical cavity array with one oscillating end-mirror to investigate the long-distance optimal optomechanical entanglement transfer. Our study breaks new ground for applying the resonance effect to protect quantum systems from decoherence and advancing the possibilities of large-scale quantum information processing and quantum network construction., Comment: 20 pages, 7 figures

We derive a compact analytical solution of the $n$th-order equal-time correlation functions by using scattering matrix ($S$ matrix) under a weak coherent state input. Our solution applies to any dissipative quantum system that respects the U(1) symmetry. We further extend our analytical solution into two categories depending on whether the input and output channels are identical. The first category provides a different path for studying cross-correlation and multiple-drive cases, while the second category is instrumental in studying waveguide quantum electrodynamics systems. Our analytical solution allows for easy investigation of the statistical properties of multiple photons even in complex systems. Furthermore, we have developed a user-friendly open-source library in Python known as the quantum correlation solver, and this tool provides a convenient means to study various dissipative quantum systems that satisfy the above-mentioned criteria. Our study enables using $S$ matrix to study the photonic correlation and advance the possibilities for exploring complex systems., Comment: 22 pages, 8 figures, the QCS open-source library is available at http://github.com/ZhiGuangLu/qcs/

A challenging task of cavity optomechanics is to observe single-photon optomechanical effects. To explore an intrinsic nonlinear effect of single-photon cavity optomechanics, we need to strengthen the radiation-pressure (RP) interaction between a single photon and a finite number of phonons. In this work, introducing the two-laser driving and considering the second-order correction to the cavity resonance frequency beyond the RP interaction, we realize controllable enhancement of the single-photon optomechanical coupling in a prototypical Fabry-Perot cavity. By adjusting the parameters of the two driving lasers and the cross-Kerr (CK) interaction so that the effective optomechanical coupling may become a real number, we theoretically propose effective symmetric optomechanical dynamics at the single-photon level, in which the forms of the quantum fluctuation dynamics satisfied by the photon and phonon are identical to each other. We study optimal reciprocal transport in symmetric optomechanics. By observing the critical behavior of the optimal transmission of the laser field, we identify the boundary point of the optomechanical strong coupling. We compare the scattering behavior of the laser field in the dissipative equilibrium and non-equilibrium symmetric optomechanics before and after the rotating-wave approximation (RWA). We also present a reliable experimental implementation of the present scheme. This work may pave the way to studying the single-photon optomechanical effects with current experimental platforms., Comment: 19 pages, 13 figures, and 3 tables

Li$_x$CoO$_2$ based batteries have serious capacity degradation and safety issues when cycling at high-delithiation states but full and consistent mechanisms are still poorly understood. Herein, a global neural network potential (GNNP) is developed to provide direct theoretical understandings by performing long-time and large-size atomic simulations. We propose a self-consistent picture as follows: (i) CoO$_2$ layers are easier to glide with longer distances at more highly delithiated states, resulting in structural transitions and structural inhomogeneity; (ii) at regions between different phases with different Li distributions due to gliding, local strains are induced and accumulate during cycling processes; (3) accumulated strains cause the rupture of Li diffusion channels and result in formation of oxygen dimers during cycling especially when Li has inhomogeneous distributions, leading to capacity degradations and safety issues. We find that large tensile strains combined with inhomogeneous distributions of Li ions play critical roles in the formation processes of blocked Li diffusion channels and the oxygen dimers at high-delithiation states, which could be the fundamental origins of capacity degradations and safety issues. Correspondingly, suppressing accumulations of strains by controlling charge and discharge conditions as well as suppressing the gliding will be helpful for improving the performance of lithium-ion batteries (LIBs)., Comment: 17 pages, 5 figures, 1 table

In the few-photon regime, we theoretically propose a feasible scheme to realize strong coupling optomechanical cycle in a three-mode optomechanical circulatory system (OMCS) comprising of cross-Kerr (CK) type and linear coupling between the corresponding two bosonic modes, meanwhile, where one of the bosonic modes is strongly coherently driven and the rest are weakly driven. A Langevin equation for strong three-mode OMCS is derived by adjusting the parameters of the appropriate strong coherent laser. We show that this strong coupling of optomechanical originates from the strong coherently driven the CK coupling modes, thereby, in coherent state displacement representation enhance the optomechanical coupling and present the strengthen of the nonolinearity. We obtain a set of optimal parameters by full numerical simulation of dynamics matrix, under this condition, minimal strong OMCS that exhibit a single photon perfect non-reciprocal transmission between the two optical modes, and unidirectional transportation inter the optomechanical modes. For a detection field, the system presents optomechanical induced transparency (OMIT) behavior. The presented results can be widely applied to quantum devices such as circulators, diodes, and transistors. Moreover, we brief analysis that a system which consisting of dual mechanical modes and one optical mode, further extend the system to a generalized coupled one-dimensional optomechanical array and arbitrary modes optomechanical loop network. Experimentally, the system has been demonstrated to be achieved through a variety of experimental protocols and configurations, for example optomechanical crystal and integrated quantum superconducting circuit., Comment: Further improve the use of words and grammar in the article