Problem Description

Some the the ??solve functions inconsistent signature:
Almost all of them start with H, state0, tlist, the collapse if used, expectation, args and finally options.

But

• For brmesolve, c_ops comes after e_ops.
• For HEOM: the bath is between the Hamiltonian and the initial state.
• Stochastic solver have e_ops options and args as keyword only.
• ntraj is positional for mcsolve, but keyword only for stochastic solver.
• Solver specific parameters are between e_ops and args for floquet, between args and options for bloch redfield and after sc_ops in stochastic.

Proposed Solution

Make e_ops, args, options and ntraj keyword only from 5.3, with a warning message from 5.1.

This would make is all signatures, except HEOM, match.

For HEOM, the bath and max_depth should be swapped for the state and tlist.

Alternate Solutions

No response

Additional Context

No response