Optics Letters

Engineering of non-classical states of light using nonlinear cross-Kerr interaction

E. I. Mingazhitdinov, Olga V. Tikhonova

Published Aug 27, 2026• 0 citations

Abstract

Programmable control and production of quantum light states with required non-classical properties are theoretically demonstrated using the cross-Kerr modulation induced between nonlinearly coupled signal and ancillary quantum field modes. By varying the squeezing and displacement parameters of input modes, it is possible to obtain different types of non-classical field states at the output. High-number Fock states, Schrödinger cat states, and cubic phase states are shown to be almost perfectly produced. The proposed approach gives rise to a tunable method for the synthesis of a wide class of non-classical states of quantum fields critical for quantum computation and quantum information technology.

DOI: 10.1364/ol.607538

Related papers

A simple proposal for generation of various classes of cat-like state via quantum nonlinear optical processes

A Noury, Mohammad Kazem Tavassoly

Abstract Generation of nonclassical states is a necessary requirement for all quantum science and technology protocols. In this regard, Schrödinger cat states, as quantum superpositions of mocroscopically distinguishable coherent states with equal amplitude and opposite phases, have been of great importance in recent years. In this paper, using some appropriate nonlinear optical media, a theoretical scheme is employed to generate various classes of cat-like states with the help of the connection between quantum and nonlinear optics. In fact, we have exploited a single simple method to produce even, odd and also Yurke-Stoler cat-like states by considering different input states such as coherent squeezed, squeezed coherent, photon-added coherent, pair coherent and trio coherent states. To achieve the purpose, we extensively use cross-Kerr interaction and its further generalizations to higher-orders. Projective measurement is the original conception behind the represented approach by which distinct types of nonclassical states are obtained. At last, we pay our attention to the unavoidable effect of field dissipation and show that in most of the above-studied states we may still achieve the cat-like states, however, with attenuated amplitudes.

Physica ScriptaJun 5, 20252 citations

Highly non-Gaussian states created via cross-Kerr nonlinearity

Tomáš Tyc, Natalia Korolkova

We propose a feasible scheme for generation of strongly non-Gaussian states using the cross-Kerr nonlinearity. The resultant states are highly non-classical states of an electromagnetic field and exhibit negativity of their Wigner function, sub-Poissonian photon statistics and amplitude squeezing. Furthermore, the Wigner function has a distinctly pronounced 'banana' or 'crescent' shape specific for the Kerr-type interactions, which so far has not been demonstrated experimentally. We show that creating and detecting such states should be possible with the present technology using electromagnetically induced transparency in a four-level atomic system in N-configuration.

arXiv:0709.2011New Journal of PhysicsFeb 26, 200832 citations

Self-modulation of pulses in Kerr medium and limits of the single-mode approximation

Dmitri A. Kouznetsov, Eduardo García Gómez

Any nonlinear interaction, in principle, can produce non-classical state. The Kerr nonlinearity seems to be the simplest one. Since papers [1-3], it seemed that as the squeezed states, as the Schriidinger cat ones can be produced by the self-modulation. The squeezing was really observed [ 3] in such a scheme. As for cats, Ref. {4,5] mention the large distance of propagation and linear absorption as factors which make the experimental realization unlike. Note that neither the large distance of propagation nor the linear absorption are fundamental reasons why the Schrödinger cat cannot be obtained by such a manner.

Proceedings of SPIE, the International Society for Optical Engineering/Proceedings of SPIEJul 19, 19990 citations

Cross-Kerr-based information transfer processes

Jinhyoung Lee, Mauro Paternostro, C Ogden +3 more

The realization of nonclassical states is an important task for many applications of quantum information processing. Usually, properly tailored interactions, different from goal to goal, are considered in order to accomplish specific tasks within the general framework of quantum state engineering. In this paper, we remark on the flexibility of a cross-Kerr nonlinear coupling in hybrid systems as an important ingredient in the engineering of nonclassical states. The general scenario we consider is the implementation of high cross-Kerr nonlinearity in cavity-quantum electrodynamics. In this context, we discuss the possibility of performing entanglement transfer and swapping between matter qubits and light fields initially prepared in separable coherent states. The recently introduced concept of entanglement reciprocation is also considered and shown to be possible with our scheme. We reinterpret some of our results in terms of applications of a generalized Ising interaction to systems of different nature.

arXiv:quant-ph/0511233New Journal of PhysicsFeb 14, 200622 citations

Sensitive Schrödinger Cat States

Shahab Ramezanpour

Strong laser-atom interactions can produce highly non-classical states of light by using the process of high-harmonic generation in atoms. When the high-harmonic generation is present, the quantum state of the fundamental mode following the interaction is known as the Schrödinger cat state, which is a superposition of the laser's initial coherent state and the coherent state with a smaller amplitude that results from its interaction with atoms. Here, we demonstrate that new light states with significantly different Wigner function distributions can be produced by combining two separate Schrödinger cat states. Through the engineering of Schrödinger cat states' parameters, we are able to produce Wigner functions that exhibit high sensitivity in relation to the system parameter. Our research paves the way for the creation of non-classical light by superposing Schrödinger cat states with application in such as quantum sensing.

arXiv:2311.05771Nov 8, 20230 citations

Sensitive Schrödinger Cat States

Shahab Ramezanpour

Strong laser-atom interactions can produce highly non-classical states of light by using the process of high-harmonic generation in atoms. When the high-harmonic generation is present, the quantum state of the fundamental mode following the interaction is known as the Schrödinger cat state, which is a superposition of the laser’s initial coherent state and the coherent state with a smaller amplitude that results from its interaction with atoms. Here, we demonstrate that new light states with significantly different Wigner function distributions can be produced by combining two separate Schrödinger cat states. Through the engineering of Schrödinger cat states’ parameters, we are able to produce Wigner functions that exhibit high sensitivity in relation to the system parameter. Our research paves the way for the creation of non-classical light by superposing Schrödinger cat states with application in such as quantum sensing.

Nov 20, 20230 citations