Lindblad equation (also known as the master equation or the GKSL equation) is an equation in quantum mechanics that generalizes the Schrodinger equation for open quantum systems. It takes the following form.

$$\frac{\mathrm d \rho}{\mathrm dt} = - \frac{i}{\hbar}[H, \rho] + \sum_k\left(L_k\rho L_k^\dagger - \frac{1}{2}\{L_k^\dagger L_k, \rho\}\right)$$

To understand it you need to be familiar with the following concepts:

• Density matrix
• von-Neumann equation
• commutator
• anti-commutator