Quantum dynamics by the constrained adiabatic trajectory method

Journal Article · Tue Mar 15 00:00:00 EDT 2011 · Physical Review. A

DOI:https://doi.org/10.1103/PHYSREVA.83.032113· OSTI ID:21537385

Leclerc, A; Jolicard, G ^[1]; Guerin, S ^[2]; Killingbeck, J P ^[3]

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1. Institut UTINAM, CNRS UMR 6213, Universite de Franche-Comte, Observatoire de Besancon, 41 bis Avenue de l'Observatoire, Boite Postale 1615, F-25010 Besancon cedex (France)
2. Laboratoire Interdisciplinaire Carnot de Bourgogne (CNRS UMR 5209, Universite de Bourgogne), Boite Postale 47870, F-21078 Dijon (France)
3. Centre for Mathematics, University of Hull, Hull HU6 7RX (United Kingdom)

We develop the constrained adiabatic trajectory method (CATM), which allows one to solve the time-dependent Schroedinger 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.

• OSTI ID: 21537385
• Journal Information: Physical Review. A, Vol. 83, Issue 3; Other Information: DOI: 10.1103/PhysRevA.83.032113; (c) 2011 American Institute of Physics; ISSN 1050-2947
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
ADIABATIC PROCESSES
EIGENSTATES
EIGENVALUES
HAMILTONIANS
POTENTIALS
SCHROEDINGER EQUATION
TIME DEPENDENCE
TRAJECTORIES
DIFFERENTIAL EQUATIONS
EQUATIONS
MATHEMATICAL OPERATORS
PARTIAL DIFFERENTIAL EQUATIONS
QUANTUM OPERATORS
WAVE EQUATIONS