Strong-coupling theory of two-level atoms in periodic fields

@article{Barata2000StrongcouplingTO,
  title={Strong-coupling theory of two-level atoms in periodic fields},
  author={Barata and Wreszinski},
  journal={Physical review letters},
  year={2000},
  volume={84 10},
  pages={
          2112-5
        }
}
  • Barata, Wreszinski
  • Published 14 June 1999
  • Physics, Medicine
  • Physical review letters
We present a new convergent strong-coupling expansion for two-level atoms in external periodic fields, free of secular terms. As a first application, we show that the coherent destruction of tunneling is a third-order effect. We also present an exact treatment of the high-frequency region, and compare it with the theory of averaging. The qualitative frequency spectrum of the transition probability amplitude contains an effective Rabi frequency. 

Figures from this paper

Pure Point Spectrum for Two-Level Systems in a Strong Quasi-Periodic Field
We consider two-level atoms in a strong external quasi-periodic field with Diophantine frequency vector. We show that if the field is an analytic function with zero average, then for a large set of
Weak-coupling-like time evolution of driven four-level systems in the strong-coupling regime
It is shown analytically that there exists a natural basis in terms of which the nonperturbative time evolution of an important class of driven four-level systems in the strong-coupling regime
A Generalized Hamiltonian Characterizing the Interaction of the Two-Level Atom and both the Single Radiation Mode and External Field
In this paper we propose some Hamiltonian characterizing the interaction of the two-level atom and both the single radiation mode and external field, which might be a generalization of that of
Field Matter Coupling and Two-Level Systems
In this chapter, we start with the theoretical description of the coupling of a classical light field realized, e.g., by a laser, to a quantum mechanical system. Different gauges, related by unitary
Two-level dynamics: Rabi flopping in the strong coupling regime
We discuss the dynamics of a two-level model in a strong coupling regime through the analysis of the probability amplitudes. It is seen that the theory recovers Rabi flopping also for strong
Weak-Coupling Theory for Low-Frequency Periodically Driven Two-Level Systems
We generalize the Wu-Yang strong-coupling theory to solve analytically periodically driven two-level systems in the weak-coupling and low-frequency regimes for single- and multi-period periodic
Majorana path integral for nonequilibrium dynamics of two-level systems
We present a new field-theoretic approach to analyze nonequilibrium dynamics of two-level systems (TLS), which is based on a correspondence between a driven TLS and a Majorana fermion field theory
Phase factors of periodically driven two-level systems
Using a perturbative solution for a periodically driven two-level quantum system, we show how to obtain phase factors for both a two-level quantum system and two two-level quantum systems
ON FORMAL QUASI-PERIODIC SOLUTIONS OF THE SCHRÖDINGER EQUATION FOR A TWO-LEVEL SYSTEM WITH A HAMILTONIAN DEPENDING QUASI–PERIODICALLY ON TIME
We consider the Schrodinger equation for a class of two-level atoms in a quasi-periodic external field for large coupling, i.e. for which the energy difference 2∊ between the unperturbed levels is
LETTER TO THE EDITOR: Dynamical localization for two-level systems periodically driven
Here, we consider a two-level system driven by an external periodic field. We show that the coherent destruction of tunnelling, as proved by Grossmann and co-workers (1991 Phys. Rev. Lett. 67 516;
...
1
2
3
4
5
...

References

SHOWING 1-9 OF 9 REFERENCES
ON FORMAL QUASI-PERIODIC SOLUTIONS OF THE SCHRÖDINGER EQUATION FOR A TWO-LEVEL SYSTEM WITH A HAMILTONIAN DEPENDING QUASI–PERIODICALLY ON TIME
We consider the Schrodinger equation for a class of two-level atoms in a quasi-periodic external field for large coupling, i.e. for which the energy difference 2∊ between the unperturbed levels is
Nonlinear differential equations and dynamical systems
1 Introduction.- 1.1 Definitions and notation.- 1.2 Existence and uniqueness.- 1.3 Gronwall's inequality.- 2 Autonomous equations.- 2.1 Phase-space, orbits.- 2.2 Critical points and linearisation.-
"J."
however (for it was the literal soul of the life of the Redeemer, John xv. io), is the peculiar token of fellowship with the Redeemer. That love to God (what is meant here is not God’s love to men)
Phys
  • Rev. 100, 703-722
  • 1955
Phys
  • Rev. Lett. 74, 1495
  • 1995
Phys
  • Rev. A 50, 843-845
  • 1994
Phys
  • Rev. A49, 1131
  • 1994
Phys
  • Rev. Lett. 67, 516-519
  • 1991
Phys
  • Rev. 57, 522-527
  • 1940