6533b823fe1ef96bd127f79c
RESEARCH PRODUCT
Quantum dynamics by the constrained adiabatic trajectory method
J. P. KillingbeckArnaud LeclercGeorges JolicardStéphane Guérinsubject
Floquet theoryQuantum dynamicsFOS: Physical sciences01 natural sciencesSchrödinger equationsymbols.namesakePhysics - Chemical PhysicsQuantum mechanics0103 physical sciences010306 general physicsAdiabatic processChemical Physics (physics.chem-ph)Physics[PHYS]Physics [physics]Quantum PhysicsPartial differential equation010304 chemical physicsComputational Physics (physics.comp-ph)Adiabatic quantum computationAtomic and Molecular Physics and OpticsClassical mechanicssymbolsQuantum Physics (quant-ph)Spectral methodHamiltonian (quantum mechanics)Physics - Computational Physicsdescription
We develop the constrained adiabatic trajectory method (CATM) which allows one to solve the time-dependent Schr\"odinger equation constraining the dynamics to a single Floquet eigenstate, as if it were adiabatic. This constrained Floquet state (CFS) is determined from the Hamiltonian modified by an artificial time-dependent absorbing potential whose forms are derived according to the initial conditions. The main advantage of this technique for practical implementation is that the CFS is easy to determine even for large systems since its corresponding eigenvalue is well isolated from the others through its imaginary part. The properties and limitations of the CATM are explored through simple examples.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2011-01-01 |