Dynamics
ED_sectors.evolve_state
— Function.evolve_state(psi, eigsys, t)
A function which computes the time-evolution of a state psi
under a (already diagonalized) Hamiltonian eigsys
for time t
. Explicitly, this computes $\left.e^{- i H t} |\psi\right>$.
ED_sectors.expectation_time
— Function.expectation_time(O, t, psi, eigsys)
expectation_time(O, t, rho, eigsys
For a state psi
, measures the expectation of the operator O
at time t
evolved under eigsys
: $\left<\psi|O(t)|\psi\right>$.
For a density operator rho
, measures the expectation of the operator O
at time t
evolved under eigsys
: $\operatorname{Tr}[\rho\; O(t)]$.
ED_sectors.autocorrelation
— Function.autocorrelation(O, t, rho, eigsys)
Computes the autocorrelation of an operator O
at time t
against the density matrix rho
when evolved under eigsys
: $\operatorname{Tr}[\rho\; O(t) O(0)]$.