# Analysis of single-excitation states in quantum optics

@inproceedings{Hoskins2021AnalysisOS, title={Analysis of single-excitation states in quantum optics}, author={Jeremy G. Hoskins and Jason Kaye and Manas Rachh and John C. Schotland}, year={2021} }

In this paper we analyze the dynamics of single-excitation states, which model the scattering of a single photon from multiple two level atoms. For short times and weak atom-field couplings we show that the atomic amplitudes are given by a sum of decaying exponentials, where the decay rates and Lamb shifts are given by the poles of a certain analytic function. This result is a refinement of the “pole approximation” appearing in the standard Wigner-Weisskopf analysis of spontaneous emission. On…

## References

SHOWING 1-10 OF 20 REFERENCES

A fast, high-order numerical method for the simulation of single-excitation states in quantum optics

- Computer Science, MathematicsArXiv
- 2021

This work considers the numerical solution of a nonlocal partial differential equation which models the process of collective spontaneous emission in a two-level atomic system containing a single photon, and describes an efficient solver for the case of a Gaussian atomic density.

Deviations from exponential decay in the case of spontaneous emission from a two-level atom.

- Physics, MedicinePhysical review. A, General physics
- 1988

A mathematically rigorous treatment of the Weisskopf-Wigner model of atomic spontaneous emission is presented and it is shown that in the correct asymptotic treatment with a cutoff frequency at which the dipole approximation breaks down, the main contribution to the long-time deviation from the exponential decay is of the order of 1.

Spontaneous Decay, Unitarity, and the Weisskopf–Wigner Approximation

- Physics
- 2010

Abstract The theory of spontaneous emission presented by Weisskopf and Wigner [Weisskopf, V., & Wigner, E. (1930) Z. Phyz. 63, 54–73] provides an excellent approximation to the actual decay atoms…

One- and Two-Photon Localization in Quantum Optics

- Physics, Mathematics
- 2021

Abstract. We consider the lattice analog of a recently proposed continuum model for the propagation of oneand two-photon states in a random medium. We find that there is localization of single…

A solid-state light–matter interface at the single-photon level

- Medicine, PhysicsNature
- 2008

The coherent and reversible mapping of a light field with less than one photon per pulse onto an ensemble of ∼107 atoms naturally trapped in a solid is demonstrated by coherently absorbing the light field in a suitably prepared solid-state atomic medium.

Finite-time deviations from exponential decay in the Weisskopf-Wigner model of spontaneous emission

- Physics
- 1989

For the first time to the authors' knowledge, a mathematically rigorous method is used for treating finite-time deviations from the exponential decay in the case of spontaneous Lyman-α transition in…

Semiconductor Quantum Optics

- Physics
- 2011

The emerging field of semiconductor quantum optics combines semiconductor physics and quantum optics, with the aim of developing quantum devices with unprecedented performance. In this book…

Collective Spontaneous Emission in Random Media

- Physics
- 2021

We consider the theory of spontaneous emission for a random medium of stationary two-level atoms. We investigate the dynamics of the field and atomic probability amplitudes for a one-photon state of…

Exploring the Quantum: Atoms, Cavities, and Photons.

- Physics
- 2014

1. Unveiling the quantum 2. Strangeness and power of the quantum 3. Of spins and springs 4. The environment is watching 5. Photons in a box 6. Seeing light in subtle ways 7. Taming Schrodinger's cats…

Quantum simulations with ultracold quantum gases

- Physics
- 2012

Experiments with ultracold quantum gases provide a platform for creating many-body systems that can be well controlled and whose parameters can be tuned over a wide range. These properties put these…