diff --git a/docs/src/examples/sbm.md b/docs/src/examples/sbm.md index 0cdd641..35ab8f0 100644 --- a/docs/src/examples/sbm.md +++ b/docs/src/examples/sbm.md @@ -37,8 +37,9 @@ using MPSDynamics, Plots, LaTeXStrings ``` We then define variables for the physical parameters of the symulation. Among these, two are convergence parameters: - * `d` is the number of states we retain for the truncated harmonic oscillators representation of environmental modes - * `N` is the number of chain (environmental) modes we keep. This parameters determines the maximum simulation time of the simulation: indeed excitations that arrive at the end of the chain are reflected towards the system and can lead to unphysical results + +* `d` is the number of states we retain for the truncated harmonic oscillators representation of environmental modes +* `N` is the number of chain (environmental) modes we keep. This parameters determines the maximum simulation time of the simulation: indeed excitations that arrive at the end of the chain are reflected towards the system and can lead to unphysical results ```julia #---------------------------- @@ -63,8 +64,9 @@ cpars = chaincoeffs_ohmic(N, α, s) # chain parameters, i.e. on-site energies ϵ We set the simulation parameters and choose a time evolution method. As always for simulations of dynamics, the time step must be chosen wisely. The error of the TDVP methods is ``\mathcal{O}(dt^3)``. In this example we present two one-site implementation of TDVP that both preserves the unitarity of the evolution: - * the regular one-site method with the keyword `:TDVP1` where all the virtual bonds of the MPS have the same bond dimension ``D`` - * the adaptive method with the keyword `:DTDVP` where the bond dimension is locally increased at each time step if the TDVP projection error crosses a threshold value + +* the regular one-site method with the keyword `:TDVP1` where all the virtual bonds of the MPS have the same bond dimension ``D`` +* the adaptive method with the keyword `:DTDVP` where the bond dimension is locally increased at each time step if the TDVP projection error crosses a threshold value Logically the constant bond dimension of the MPS for TDVP1 and the threshold of the projection error for DTDVP are their respective convergence parameter. ```julia