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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…

We study the propagation of Rydberg slow light polaritons through an atomic medium for intermediate interactions. Then, the dispersion relation for the polaritons is well described by the slow light velocity alone, which allows for an…

Quantum Physics · Physics 2017-01-04 Przemyslaw Bienias , Hans Peter Büchler

We study the propagation of strongly interacting Rydberg polaritons through an atomic medium in a one-dimensional optical lattice. We derive an effective single-band Hubbard model to describe the dynamics of the dark state polaritons under…

Quantum Physics · Physics 2021-01-04 T. Pistorius , J. Kazemi , H. Weimer

Coupling light to Rydberg states of atoms under conditions of electromagnetically induced transparency (EIT) leads to the formation of strongly interacting quasi-particles, termed Rydberg polaritons. We derive a one-dimensional model…

Quantum Physics · Physics 2015-11-25 Matthias Moos , Michael Hoening , Razmik Unanyan , Michael Fleischhauer

We develop an effective field theory (EFT) to describe the few- and many-body propagation of one dimensional Rydberg polaritons. We show that the photonic transmission through the Rydberg medium can be found by mapping the propagation…

Atomic Physics · Physics 2016-10-07 M. J. Gullans , J. D. Thompson , Y. Wang , Q. -Y. Liang , V. Vuletic , M. D. Lukin , A. V. Gorshkov

We study a system of three photons in an atomic medium coupled to Rydberg states near the conditions of electromagnetically induced transparency. Based on the analytical analysis of the microscopic set of equations in the far-detuned…

Quantum Physics · Physics 2016-08-09 Krzysztof Jachymski , Przemysław Bienias , Hans Peter Büchler

We develop a theory for light propagating in an atomic Bose-Einstein condensate in the presence of strong interactions. The resulting many-body correlations are shown to have profound effects on the optical properties of this interacting…

Quantum Gases · Physics 2020-05-06 A. Camacho-Guardian , K. Knakkergaard Nielsen , T. Pohl , G. M. Bruun

We present a quantum theory of slow light beyond the weak probe pulse approximation. By reduction of the full Hamiltonian of the system to an effective Hamiltonian for a single quantum field we demonstrate that the concept of dark-state…

Quantum Physics · Physics 2015-01-06 I. E. Mazets

The scattering and bound states of the many-body systems, related to the short-range Dyson model, are studied. First, we show that the scattering states can be realized as coherent states and the scattering Hamiltonian can be connected to a…

Strongly Correlated Electrons · Physics 2007-05-23 Meripeni Ezung , N. Gurappa , Avinash Khare , Prasanta K. Panigrahi

We study two-body non-Hermitian physics in the context of an open dissipative system depicted by the Lindblad master equation. Adopting a minimal lattice model of a handful of interacting fermions with single-particle dissipation, we show…

Quantum Gases · Physics 2022-01-19 Peize Ding , Wei Yi

This work reviews recent advances in the analytical treatment of the continuum spectrum of correlated few-body non-relativistic Coulomb systems. The exactly solvable two-body problem serves as an introduction to the non-separable…

Mathematical Physics · Physics 2007-05-23 Jamal Berakdar

We proposed utilizing a medium with a high optical depth (OD) and a Rydberg state of low principal quantum number, $n$, to create a weakly-interacting many-body system of Rydberg polaritons, based on the effect of electromagnetically…

We revisited how Weinberg's ideas in Nuclear Physics influenced our own work and lead to a renormalization group invariant framework within the quantum mechanical few-body problem, and we also update the discussion on the relevant scales in…

Nuclear Theory · Physics 2021-11-12 Lauro Tomio , Tobias Frederico , Varese S. Timóteo , Marcelo T. Yamashita

We present a method of studying few-body nuclear scattering by means of neural quantum states, without requiring time-evolution. A recently developed family of stable minimum principles for Schrodinger's equation provides conservative…

Nuclear Theory · Physics 2026-05-29 Scott Lawrence , Yukari Yamauchi

We experimentally study the effects of the anisotropic Rydberg-interaction on $D$-state Rydberg polaritons slowly propagating through a cold atomic sample. In addition to the few-photon nonlinearity known from similar experiments with…

We derive a general effective many-body theory for bosonic polar molecules in strong interaction regime, which cannot be correctly described by previous theories within the first Born approximation. The effective Hamiltonian has additional…

Other Condensed Matter · Physics 2008-05-08 Daw-Wei Wang

We experimentally and theoretically investigate the scattering of a photonic quantum field from another stored in a strongly interacting atomic Rydberg ensemble. Considering the many-body limit of this problem, we derive an exact solution…

Photonic materials are an emerging platform to explore quantum matter and quantum dynamics. The development of Rydberg electromagnetically induced transparency provided a clear route to strong interactions between individual optical…

Quantum Gases · Physics 2018-05-21 Alexandros Georgakopoulos , Ariel Sommer , Jonathan Simon

Polaritons are the collective excitations of many atoms dressed by resonant photons, which can be used to explain the slow light propagation with the mechanism of electromagnetically induced transparency. As quasi-particles, these…

Quantum Physics · Physics 2009-11-13 Lan Zhou , Jing Lu , D. L. Zhou , C. P. Sun

Polaritons are an emerging platform for exploration of synthetic materials [1] and quantum information processing [2] that draw properties from two disparate particles: a photon and an atom. Cavity polaritons are particularly promising, as…

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