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We experimentally characterize the optical nonlinear response of a cold atomic medium placed inside an optical cavity, and excited to Rydberg states. The excitation to S and D Rydberg levels is carried out via a two-photon transition in an…

This series of papers has two broader aims: 1) Construct a theory for multi-partite open quantum systems comprising several layers of structure with self-consistent back-actions. Develop the graded influence action formalism…

High Energy Physics - Theory · Physics 2025-05-27 Jen-Tsung Hsiang , Bei-Lok Hu

Superpositions of coherent light states, are vital for quantum technologies. However, restrictions in existing state preparation and characterization schemes, in combination with decoherence effects, prevent their intensity enhancement and…

Reciprocal and nonreciprocal effects in dielectric and magnetic materials provide crucial information about the microscopic properties of electrons. However, experimentally distinguishing the two has proven to be challenging, especially…

The dark-state effect, caused by destructive interference, not only is an important fundamental research topic in atomic physics and quantum optics, but also has wide potential application in quantum physics and quantum information science.…

Quantum Physics · Physics 2026-04-10 Ying-Zhi Li , Xuan Zhao , Le-Man Kuang , Jie-Qiao Liao

This article is provides an introduction to the quantum theory of optics in nonlinear dielectric media. We begin with a short summary of the classical theory of nonlinear optics, that is nonlinear optics done with classical fields. We then…

Quantum Physics · Physics 2015-05-13 Mark Hillery

Using an exactly soluble one-dimensional atomic model we explore the idea that the recently observed high-order nonlinearity in optical filaments is due to virtual transitions involving the continuum states. We show that the model's…

Optics · Physics 2015-05-20 A. Teleki , E. M. Wright , M. Kolesik

Recent advances in the study of synthetic dimensions revealed a possibility to employ the frequency space as an additional degree of freedom which allows for investigating and exploiting higher-dimensional phenomena in a priori…

Pattern Formation and Solitons · Physics 2020-08-19 Aleksandr K. Tusnin , Alexey M. Tikan , Tobias J. Kippenberg

We investigate the optical Kerr nonlinearities of an ensemble of cold Rydberg atoms under the condition of electromagnetically induced transparency (EIT). By using an approach beyond mean-field theory, we show that the system possesses not…

Optics · Physics 2016-04-05 Zhengyang Bai , Guoxiang Huang

Enhancement of optical Kerr nonlinearity for self-action by electro-magnetically induced transparency in a four-level atomic system including dephasing between the ground states is studied in detail by solving the density matrix equations…

Optics · Physics 2009-11-07 Tao Hong , Michael Wong Jack , Makoto Yamashita , Takaaki Mukai

Elucidating similarities and differences between quantum-optics biphoton interference phenomena and the quantum physics of quasi-one-dimensional double-well optically-trapped ultracold neutral bosonic or fermionic atoms, we show that the…

Quantum Gases · Physics 2019-01-23 Constantine Yannouleas , Benedikt B. Brandt , Uzi Landman

Nonlinear optical media of Kerr type are described by a particular version of an anharmonic quantum harmonic oscillator. The dynamics of this system can be described using the Moyal equations of motion, which correspond to a quantum phase…

Quantum Physics · Physics 2015-05-13 T. A. Osborn , Karl-Peter Marzlin

A cross-Kerr interaction produces a phase shift on two modes of light proportional to the number of photons in both modes, and is sometimes called cross-phase modulation. Cross-Kerr nonlinearities have many applications in classical and…

Quantum Physics · Physics 2016-08-22 Daniel J. Brod , Joshua Combes , Julio Gea-Banacloche

Observing few-photon optomechanical effects remains a significant challenge in optomechanical systems. To investigate intrinsic radiation-pressure-induced nonlinear effects in the few-photon regime, it is essential to strengthen the…

Quantum Physics · Physics 2026-03-10 Cheng Shang , H. Z. Shen

Few-photon optomechanical effects are not only important physical evidences for understanding the radiation-pressure interaction between photons and mechanical oscillation, but also have wide potential applications in modern quantum…

Quantum Physics · Physics 2019-05-01 Fen Zou , Li-Bao Fan , Jin-Feng Huang , Jie-Qiao Liao

Nonlinear interactions in optomechanical systems play a crucial role in many emerging number of interesting studies and phenomena such as existence of optomechanical chaos introduced by F. Monifi et al. [Nature Photonics 10, 399405 (2016)]…

Quantum Physics · Physics 2020-08-04 Akash Kundu

We derive a universal model for atom pairs interacting with non-resonant light via the polarizability anisotropy, based on the long range properties of the scattering. The corresponding dynamics can be obtained using a nodal line technique…

Weak cross-Kerr nonlinearities between single photons and coherent states are the basis for many applications in quantum information processing. These nonlinearities have so far mainly been discussed in terms of highly idealized single-mode…

Quantum Physics · Physics 2015-05-27 Bing He , Qing Lin , Christoph Simon

Atomic coherence effects arising from coherent light-atom interaction are conventionally known to be governed by quantum interference and optical pumping mechanisms. However, anisotropic nonlinear response driven by optical field involves…

Atomic Physics · Physics 2016-06-02 A. Kani , Harshawardhan Wanare

A recent experiment with squeezed light has shown that two-photon absorption by an atom can occur with a linear intensity dependence. We point out that this result verifies a prediction made by us more than a decade ago from an analysis of…

High Energy Physics - Theory · Physics 2007-05-23 T. K. Rai Dastidar , Krishna Rai Dastidar