# 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 } }

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.

## 65 Citations

Pure Point Spectrum for Two-Level Systems in a Strong Quasi-Periodic Field

- Mathematics
- 2004

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

- Physics
- 2003

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

- Physics, Mathematics
- 2003

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

- Physics
- 2013

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

- Physics
- 2001

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

- Physics
- 2008

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

- Physics
- 2011

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

- Physics
- 2018

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

- Mathematics, Physics
- 2000

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

- Physics
- 2005

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;…

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