# Coulomb Bound States of Strongly Interacting Photons.

@article{Maghrebi2015CoulombBS, title={Coulomb Bound States of Strongly Interacting Photons.}, author={Mohammad F. Maghrebi and Michael J. Gullans and Przemyslaw Bienias and S. Choi and I. Martin and Ofer Firstenberg and Mikhail D. Lukin and Hans Peter B{\"u}chler and Alexey V. Gorshkov}, journal={Physical review letters}, year={2015}, volume={115 12}, pages={ 123601 } }

We show that two photons coupled to Rydberg states via electromagnetically induced transparency can interact via an effective Coulomb potential. This interaction gives rise to a continuum of two-body bound states. Within the continuum, metastable bound states are distinguished in analogy with quasibound states tunneling through a potential barrier. We find multiple branches of metastable bound states whose energy spectrum is governed by the Coulomb potential, thus obtaining a photonic analogue…

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Abstract
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## References

SHOWING 1-10 OF 113 REFERENCES

### Quantum Theory of Tunneling

- Physics
- 2003

A Brief History of Quantum Tunneling Some Basic Questions Concerning Quantum Tunneling Simple Solvable Problems Time-Dependence of the Wave Function in One-Dimensional Tunneling Semiclassical…

### Phys

- Rev. A 90, 053804
- 2014

### Nat. Phys

- Nat. Phys
- 2009

### Phys. Rev. Lett

- Phys. Rev. Lett
- 2014

### Phys. Rev. Lett

- Phys. Rev. Lett
- 2010

### Phys

- Rev. Lett. 110, 203601
- 2013

### Phys

- Rev. Lett. 112, 133606
- 2014

### Phys

- Rev. Lett. 108, 043601
- 2012

### Phys

- Rev. A 89, 063407
- 2014