TY - JOUR
T1 - Coulomb bound states of strongly interacting photons
JF - Physical Review Letters
Y1 - 2015
A1 - Mohammad F. Maghrebi
A1 - Michael Gullans
A1 - P. Bienias
A1 - S. Choi
A1 - I. Martin
A1 - O. Firstenberg
A1 - M. D. Lukin
A1 - H. P. Büchler
A1 - Alexey V. Gorshkov
AB - 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 quasi-bound 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 of the hydrogen atom. Under certain conditions, the wavefunction resembles that of a diatomic molecule in which the two polaritons are separated by a finite "bond length." These states propagate with a negative group velocity in the medium, allowing for a simple preparation and detection scheme, before they slowly decay to pairs of bound Rydberg atoms.
VL - 115
U4 - 123601
UR - http://arxiv.org/abs/1505.03859v1
CP - 12
J1 - Phys. Rev. Lett.
U5 - 10.1103/PhysRevLett.115.123601
ER -
TY - JOUR
T1 - Scattering resonances and bound states for strongly interacting Rydberg polaritons
JF - Physical Review A
Y1 - 2014
A1 - P. Bienias
A1 - S. Choi
A1 - O. Firstenberg
A1 - Mohammad F. Maghrebi
A1 - Michael Gullans
A1 - M. D. Lukin
A1 - Alexey V. Gorshkov
A1 - H. P. Büchler
AB - We provide a theoretical framework describing slow-light polaritons interacting via atomic Rydberg states. We use a diagrammatic method to analytically derive the scattering properties of two polaritons. We identify parameter regimes where polariton-polariton interactions are repulsive. Furthermore, in the regime of attractive interactions, we identify multiple two-polariton bound states, calculate their dispersion, and study the resulting scattering resonances. Finally, the two-particle scattering properties allow us to derive the effective low-energy many-body Hamiltonian. This theoretical platform is applicable to ongoing experiments.
VL - 90
UR - http://arxiv.org/abs/1402.7333v1
CP - 5
J1 - Phys. Rev. A
U5 - 10.1103/PhysRevA.90.053804
ER -