On the control by electromagnetic fields of quantum systems with infinite dimensional Hilbert space
arXiv:1412.3913 · doi:10.1007/s10910-014-0429-7
Abstract
We analyze the control by electromagnetic fields of quantum systems with infinite dimensional Hilbert space and a discrete spectrum. Based on recent mathematical results, we rigorously show under which conditions such a system can be approximated in a finite dimensional Hilbert space. For a given threshold error, we estimate this finite dimension in terms of the used control field. As illustrative examples, we consider the cases of a rigid rotor and of a harmonic oscillator.
arXiv commentJournal of Mathematical Chemistry, Springer Verlag (Germany), 2014
References in corpus (12)
- Control of quantum phenomena: Past, present, and future
- Time Optimal Control in Spin Systems
- Complete controllability of quantum systems
- Monotonically convergent optimization in quantum control using Krotov's method
- Singular extremals for the time-optimal control of dissipative spin 1/2 particles
- Controllability of the discrete-spectrum Schrodinger equation driven by an external field
- Optimal molecular alignment and orientation through rotational ladder climbing
- Simultaneous time-optimal control of the inversion of two spin 1/2 particles
- Periodic excitations of bilinear quantum systems
- Monotonically convergent optimal control theory of quantum systems under a nonlinear interaction with the control field
- Field-free molecular orientation by THz laser pulses at high temperature
- Criteria for reachability of quantum states