isergen.m

2nd and 4th order Iserles product quadrature generators for one time propagation step in the case of state-independent Hamiltonian.

Syntax

    H=isergen(HL,HM,HR,dt)

Parameters

    HL - Hamiltonian at the left edge of the interval

    HM - [optional] Hamiltonian at the interval mid-
         point; if this is empty, second order quad-
         rature is used.

    HR - Hamiltonian at the right edge of the interval

    dt - interval duration, seconds

Outputs

    H  - effective evolution generator, to be used
         as exp(-1i*H*dt)

Examples

Iserles product quadratures are vastly superior to the commonly used piecewise-constant Hamiltonian propagation routines. Below is the output of product_quadratures.m example file from examples/fundamentals directory.

See also

step.m, evolution.m, krylov.m, iserstep.m, steady.m, Kernel_functions

Version 2.5, authors: Ilya Kuprov, Andrew Graham