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Manus开源免费版OpenManus:人工智能技术共享

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根据提供的文件信息,我们可以提炼出与Manus开源免费版-OpenManus相关的关键知识点。以下将详细说明标题、描述、标签以及文件名称列表中的知识点。 标题:“Manus开源免费版-OpenManus” 知识点: 1. Manus是一个项目名称,表明它可能是一个技术产品、软件或者服务。 2. Manus开源免费版说明该产品具有开放源代码的特性,并且对用户免费提供。 3. OpenManus表明该开源版本可能是一个特定的分支或者是一个与Manus相关的开源项目。 描述:“Manus开源免费版-OpenManus” 知识点: 1. 描述中没有提供额外信息,仅重复了标题的内容,所以这里没有新的知识点可提炼。 标签:“人工智能 Manus” 知识点: 1. 人工智能(Artificial Intelligence,简称AI)表明Manus与人工智能领域相关。 2. Manus项目可能运用了人工智能技术来实现其功能或服务。 3. 由于人工智能是一个多学科交叉的领域,Manus可能与机器学习、自然语言处理、计算机视觉、数据分析、机器人技术等子领域有关联。 4. Manus项目可能旨在解决特定领域的问题,比如智能助手、推荐系统、自动化任务处理等。 压缩包子文件的文件名称列表:“OpenManus-main” 知识点: 1. 文件名称“OpenManus-main”进一步确认了存在一个与OpenManus相关的主文件夹或者主要项目目录。 2. “main”通常表示一个项目的主体部分或核心模块,可能包含项目的主要代码库、文档、配置文件等。 3. 由于这是一个开源项目,我们可以预期该文件夹包含了用于构建和部署Manus项目的所有必要元素。 在具体化这些知识点后,我们还可以进一步假设Manus开源免费版-OpenManus可能是一个开源项目,允许开发者自由地使用、研究、修改和分发其代码。项目可能包含多种组件和功能,例如但不限于用户接口、后端服务、数据库支持、数据处理算法、机器学习模型等。 该项目还可能鼓励社区参与,包括为项目提供bug报告、功能请求、代码贡献以及文档改善等。对于有兴趣使用人工智能技术的开发者来说,Manus开源免费版-OpenManus提供了一个实践和学习开源协作的机会,同时也可能是一个探索人工智能应用的平台。 由于缺乏更多的详细信息,以上知识点是基于给定信息的合理推断。在现实情况下,要获得Manus开源免费版-OpenManus项目的具体信息,需要访问其官方网站、查看代码仓库、阅读文档、参与社区讨论等。

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clear; clc; %% 1. 固定参数定义 eta = 0.5; P_c = 10e-6; % 控制场泵浦功率 hbar = 1.0545718e-34;% 约化普朗克常数 omega_c = 2 * pi * 3e8 / 1573e-9; % 控制场角频率 omega_m = 2 * pi * 3.68e9; % 机械振子角频率 epsilon_c = sqrt(P_c / (hbar * omega_c)); % 控制场振幅 p_1 = 0.05 * P_c; % 探测场1泵浦功率 p_2 = 0.05 * P_c; % 探测场2泵浦功率 Delta = omega_m; % 失谐量(示例值) kappa = 0.1 * omega_m;% 腔耗散率 g = 2*pi*1e6; % 光-力耦合强度 gamma_1 = 0.005*omega_m; % 原子耗散率1 gamma_2 = 0.005*omega_m; % 原子耗散率2 J = 0.5* (gamma_1 + gamma_2); % 固定J为 0.5(γ₁+γ₂) i = 1i; % 复数单位 tolerance = 1e-20; % 收敛容差 max_iterations = 100000; % 最大迭代次数 %% 2. 坐标轴范围与网格生成 delta1_ratios = linspace(-2, 2, 500); % X轴:δ₁/ωₘ 范围(匹配目标图刻度) delta2_ratios = linspace(-2, 2, 500); % Y轴:δ₂/ωₘ 范围(匹配目标图刻度) [X, Y] = meshgrid(delta1_ratios, delta2_ratios); % 生成网格 Z = zeros(size(X)); % 存储log10(ηₛ⁻)的矩阵 %% 3. 遍历网格计算ηₛ⁻ for i_row = 1:size(X, 1) for j_col = 1:size(X, 2) delta1_ratio = X(i_row, j_col); % 当前δ₁/ωₘ delta2_ratio = Y(i_row, j_col); % 当前δ₂/ωₘ delta1 = delta1_ratio * omega_m; % δ₁ = (δ₁/ωₘ) * ωₘ delta2 = delta2_ratio * omega_m; % δ₂ = (δ₂/ωₘ) * ωₘ(原delta2改为变量) % --- 迭代求解a和b1(δ₁、δ₂变化时,重新迭代保证收敛)--- a = 1; b1 = 1; for iter = 1:max_iterations a_prev = a; b1_prev = b1; D = (i * omega_m + gamma_1/2) * (i * omega_m - gamma_2/2) + J^2; b1 = (-i * g * abs(a)^2 * (-i * omega_m + gamma_2/2)) / D; denominator = i * Delta + kappa/2 - i * g * (b1 + conj(b1)); a = (sqrt(eta*kappa) * epsilon_c) / denominator; if abs(a - a_prev) < tolerance && abs(b1 - b1_prev) < tolerance break; % 收敛则退出迭代 end end % --- 计算δ₂相关的辅助量(δ₂为变量,每次重新计算)--- D_plus_delta2 = -i * delta2 + i * omega_m + gamma_1 / 2; D_minus_delta2 = -i * delta2 - i * omega_m + gamma_1 / 2; E_plus_delta2 = -i * delta2 + i * omega_m - gamma_2 / 2; E_minus_delta2 = -i * delta2 - i * omega_m - gamma_2 / 2; F_plus_delta2 = -i * delta2 + (i*Delta - i*g*(conj(b1)+b1)) + kappa / 2; F_minus_delta2 = -i * delta2 - (i*Delta - i*g*(conj(b1)+b1)) + kappa / 2; L_plus_delta2 = D_plus_delta2 * E_plus_delta2 + J^2; L_minus_delta2 = D_minus_delta2 * E_minus_delta2 + J^2; alpha_delta2 = -E_minus_delta2 * L_plus_delta2 + E_plus_delta2 * L_minus_delta2; beta_delta2 = L_plus_delta2 * L_minus_delta2 * F_minus_delta2 - g^2 * a * conj(a) * alpha_delta2; % --- 计算y_omega_ratio(对应δ₁/ωₘ,因 y = -δ₁ = -delta1_ratio*omega_m)--- y_omega_ratio = delta1_ratio; % --- 调用函数计算ηₛ⁻ --- [~, ~, ~, ~, ~, eta_s_minus, ~, ~] = calculate_variables(... y_omega_ratio, a, b1, beta_delta2, gamma_1, gamma_2, J, g, kappa, omega_m, Delta, eta, hbar, p_1, p_2, delta2, ... D_plus_delta2, D_minus_delta2, E_plus_delta2, E_minus_delta2, F_plus_delta2, F_minus_delta2, L_plus_delta2, L_minus_delta2, alpha_delta2, omega_c); Z(i_row, j_col) = log10(eta_s_minus); % 存储对数值 end end %% 4. 三维绘图与美化 figure('Position', [100, 100, 800, 600]); surf(X, Y, Z); % 绘制曲面 shading interp; % 平滑着色(使颜色过渡自然) colormap(jet); % 颜色映射(蓝→红,匹配目标图) colorbar; % 显示颜色条 clim([-14, -2]); % 颜色范围(匹配目标图的-14到-2) xlabel('$\delta_1/\omega_m$', 'Interpreter', 'latex', 'FontSize', 12); ylabel('$\delta_2/\omega_m$', 'Interpreter', 'latex', 'FontSize', 12); zlabel('$\log_{10}\eta_s^-$', 'Interpreter', 'latex', 'FontSize', 12); title('(b)', 'FontSize', 16); view(30, 30); % 调整视角(匹配目标图视角) grid on; % 显示网格 %% 5. 辅助函数:计算ηₛ⁻(需放在脚本末尾) function [sigma, psi, phi1, phi2, phi3, eta_s_minus, epsilon_1, y_omega_ratio] = calculate_variables(... y_omega_ratio, a, b1, beta_delta2, gamma_1, gamma_2, J, g, kappa, omega_m, Delta, eta, hbar, p_1, p_2, delta2, ... D_plus_delta2, D_minus_delta2, E_plus_delta2, E_minus_delta2, F_plus_delta2, F_minus_delta2, ~, ~, alpha_delta2, omega_c) y = -y_omega_ratio * omega_m; % y = -δ₁(因 y_omega_ratio = δ₁/ωₘ) % --- 计算D_+(y), D_-(y), E_+(y), E_-(y), F_+(y), F_-(y) --- D_plus_y = -1i * y + 1i * omega_m + gamma_1/2; D_minus_y = -1i * y - 1i * omega_m + gamma_1/2; E_plus_y = -1i * y + 1i * omega_m - gamma_2/2; E_minus_y = -1i * y - 1i * omega_m - gamma_2/2; F_plus_y = -1i * y + (1i*Delta - 1i*g*(conj(b1)+b1)) + kappa/2; F_minus_y = -1i * y - (1i*Delta - 1i*g*(conj(b1)+b1)) + kappa/2; % --- 计算L_+(y), L_-(y), alpha(y), beta(y) --- L_plus_y = D_plus_y * E_plus_y + J^2; L_minus_y = D_minus_y * E_minus_y + J^2; alpha_y = -E_minus_y * L_plus_y + E_plus_y * L_minus_y; beta_y = L_plus_y * L_minus_y * F_minus_y - g^2 * a * conj(a) * alpha_y; % --- 计算探测场1振幅epsilon_1 --- epsilon_1 = sqrt(p_1 / (hbar * (y + omega_c))); % --- 计算A1_plus, A1_minus_conj --- numerator_A1_plus = sqrt(eta * kappa) * epsilon_1 * beta_y; denominator_A1_plus = F_plus_y * beta_y + (g^2) * a * conj(a) * alpha_y * F_minus_y; A1_plus = numerator_A1_plus / denominator_A1_plus * (abs(denominator_A1_plus)>=1e-20); % 避免除零 numerator_A1_minus_conj = g^2 * conj(a)^2 * alpha_y * A1_plus; denominator_A1_minus_conj = beta_y; A1_minus_conj = numerator_A1_minus_conj / denominator_A1_minus_conj * (abs(denominator_A1_minus_conj)>=1e-20); % --- 计算B1_plus, B1_minus_conj --- numerator_B1_plus = 1i * g * E_plus_y * (a * A1_minus_conj + conj(a) * A1_plus); denominator_B1_plus = D_plus_y * E_plus_y + J^2; B1_plus = numerator_B1_plus / denominator_B1_plus * (abs(denominator_B1_plus)>=1e-30); numerator_B1_minus_conj = -1i * g * E_minus_y * (a * A1_minus_conj + conj(a) * A1_plus); denominator_B1_minus_conj = D_minus_y * E_minus_y + J^2; B1_minus_conj = numerator_B1_minus_conj / denominator_B1_minus_conj * (abs(denominator_B1_minus_conj)>=1e-20); % --- 计算A2_plus, A2_minus_conj --- numerator_A2_plus = sqrt(eta * kappa) * sqrt(p_2 / (hbar * (delta2 + omega_c))) * beta_delta2; denominator_A2_plus = F_plus_delta2 * beta_delta2 + (g^2) * a * conj(a) * alpha_delta2 * F_minus_delta2; A2_plus = numerator_A2_plus / denominator_A2_plus * (abs(denominator_A2_plus)>=1e-20); numerator_A2_minus_conj = g^2 * conj(a)^2 * alpha_delta2 * A2_plus; denominator_A2_minus_conj = beta_delta2; A2_minus_conj = numerator_A2_minus_conj / denominator_A2_minus_conj * (abs(denominator_A2_minus_conj)>=1e-20); % --- 计算B2_plus, B2_minus_conj --- numerator_B2_plus = 1i * g * E_plus_delta2 * (a * A2_minus_conj + conj(a) * A2_plus); denominator_B2_plus = D_plus_delta2 * E_plus_delta2 + J^2; B2_plus = numerator_B2_plus / denominator_B2_plus * (abs(denominator_B2_plus)>=1e-20); numerator_B2_minus_conj = -1i * g * E_minus_delta2 * (a * A2_minus_conj + conj(a) * A2_plus); denominator_B2_minus_conj = D_minus_delta2 * E_minus_delta2 + J^2; B2_minus_conj = numerator_B2_minus_conj / denominator_B2_minus_conj * (abs(denominator_B2_minus_conj)>=1e-20); % --- 和频部分:计算sigma, phi1, phi2, phi3, psi, As_minus_conj --- omega = y - delta2; % 和频角频率 D_plus_omega = -1i * omega + 1i * omega_m + gamma_1/2; D_minus_omega = -1i * omega - 1i * omega_m + gamma_1/2; E_plus_omega = -1i * omega + 1i * omega_m - gamma_2/2; E_minus_omega = -1i * omega - 1i * omega_m - gamma_2/2; F_plus_omega = -1i * omega + (1i*Delta - 1i*g*(conj(b1)+b1)) + kappa/2; F_minus_omega = -1i * omega - (1i*Delta - 1i*g*(conj(b1)+b1)) + kappa/2; L_plus_omega = D_plus_omega * E_plus_omega + J^2; L_minus_omega = D_minus_omega * E_minus_omega + J^2; alpha_omega = -E_minus_omega * L_plus_omega + E_plus_omega * L_minus_omega; beta_omega = L_plus_omega * L_minus_omega * F_minus_omega - g^2 * abs(a)^2 * alpha_omega; sigma = (D_minus_omega * E_minus_omega + J^2) * (D_plus_omega * E_plus_omega + J^2); phi1 = A1_minus_conj*(B2_plus + B2_minus_conj) + A2_minus_conj*(B1_plus + B1_minus_conj); phi2 = A1_plus*(B2_plus + B2_minus_conj) + A2_plus*(B1_plus + B1_minus_conj); phi3 = A1_minus_conj*A2_plus + A2_minus_conj*A1_plus; psi = 1i * g * (F_minus_omega * a * sigma * phi1 + beta_omega * conj(a) * phi2 - beta_omega * a * phi1); % --- 计算As_minus_conj --- numerator_As_minus_conj = g^2 * conj(a)^2 * alpha_omega * A1_plus + g^2 * conj(a) * alpha_omega*phi3 - 1i * g * sigma * phi1; denominator_As_minus_conj = beta_omega; As_minus_conj = numerator_As_minus_conj / denominator_As_minus_conj * (abs(denominator_As_minus_conj)>=1e-40); % --- 计算ηₛ⁻ --- eta_s_minus = abs(-sqrt(eta * kappa) * conj(As_minus_conj) / epsilon_1); % 返回变量(未使用的用~占位,需保持数量一致) sigma = sigma; psi = psi; phi1 = phi1; phi2 = phi2; phi3 = phi3; y_omega_ratio = y_omega_ratio; epsilon_1 = epsilon_1; end优化我的代码

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