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In this paper, to study the effects of a nonlinear medium on the atom-field interaction, we use the nonlinear coherent states approach. For this purpose, we choose the two-mode cross-Kerr as the our nonlinear optical phenomena and with the…

Quantum Physics · Physics 2022-05-04 Mojgan Momeni Demneh , Ali Mahdifar , Rasoul Roknizadeh

We study an optomechanical system for the purpose of generating a nonclassical mechanical state when a mechanical oscillator is quadratically coupled to a single-mode cavity field driven by a squeezed optical field. The system corresponds…

Quantum Physics · Physics 2018-10-17 Jae Hoon Lee , Junho Suh , Hyojun Seok

A novel approach to the problem of partial state estimation of nonlinear systems is proposed. The main idea is to translate the state estimation problem into one of estimation of constant, unknown parameters related to the systems initial…

Systems and Control · Computer Science 2016-04-08 Ortega Romeo , Bobtsov Alexey , Pyrkin Anton , Aranovskiy Stanislav

The most general displaced number states, based on the bosonic and an irreducible representation(IREP) of the Lie algebra symmetry of su(1, 1) and associated to the Calogero-Sutherland model are introduced. Here, we utilize the…

Mathematical Physics · Physics 2014-04-22 A. Dehghani

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

Photons are ideal carriers for quantum information as they can have a long coherence time and can be transmitted over long distances. These properties are a consequence of their weak interactions within a nearly linear medium. To create and…

Higher-order topological insulators are unusual materials that can support topologically protected states, whose dimensionality is lower than the dimensionality of the structure at least by 2. Among the most intriguing examples of such…

We study the production of entangled two- and N-mode quantum states of light in optical waveguides. To this end, we propose a quantum photonic circuit that produces a reconfigurable superposition of photon subtraction on two single-mode…

Quantum Physics · Physics 2020-05-05 David Barral , Jesús Liñares , Daniel Balado

We calculate the normalized second-order correlation function for a system of two tunnel-coupled photonic resonators, each one exhibiting a single-photon nonlinearity of the Kerr type. We employ a full quantum formulation: the master…

Other Condensed Matter · Physics 2010-09-24 S. Ferretti , L. C. Andreani , H. E. Tureci , D. Gerace

We derive and implement a general method to characterize the nonclassicality in compound discrete- and continuous-variable systems. For this purpose, we introduce the operational notion of conditional hybrid nonclassicality which relates to…

Quantum Physics · Physics 2017-09-29 E. Agudelo , J. Sperling , L. S. Costanzo , M. Bellini , A. Zavatta , W. Vogel

We discuss phase-locking phenomena at low-level of quanta for parametrically driven nonlinear Kerr resonator (PDNR) in strong quantum regime. Oscillatory mode of PDNR is created in the process of a degenerate down-conversion of photons…

Quantum Physics · Physics 2016-05-04 G. H. Hovsepyan , A. R. Shahinyan , Lock Yue Chew , G. Yu. Kryuchkyan

The paper provides an analytical and numerical investigation of the dynamics of a one-dimensional chain of coupled optical resonators with conservative cubic nonlinearity and the gain saturated by nonlinear losses. The linear dependency of…

Optics · Physics 2024-05-09 Alexey Verbitskiy , Alexey Yulin

In this work we make use of deformed operators to construct the coherent states of some nonlinear systems by generalization of two definitions: i) As eigenstates of a deformed annihilation operator and ii) by application of a deformed…

Mathematical Physics · Physics 2015-03-06 R. Román-Ancheyta , O de los Santos-Sánchez , J. Récamier

The connection between quantum optical nonclassicality and the violation of Bell's inequalities is explored. Bell type inequalities for the electromagnetic field are formulated for general states of quantised radiation and their violation…

Quantum Physics · Physics 2009-10-31 Arvind , N. Mukunda

The problem of generating discrete superpositions of coherent states in the process of light propagation through a nonlinear Kerr medium, which is modelled by the anharmonic oscillator, is discussed. It is shown that under an appropriate…

Quantum Physics · Physics 2011-11-04 A. Miranowicz , R. Tanas , S. Kielich

Two Kerr-squeezed optical beams can be combined in a beamsplitter to produce non-Gaussian continuous-variable entangled states. We characterize the non-Gaussian nature of the output by calculating the third-order cumulant of quadrature…

Quantum Physics · Physics 2015-06-12 M. K. Olsen , J. F. Corney

Extending the scheme developed for a single mode of the electromagnetic field in the preceding paper ``Structure of multiphoton quantum optics. I. Canonical formalism and homodyne squeezed states'', we introduce two-mode nonlinear canonical…

Quantum Physics · Physics 2007-05-23 Fabio Dell'Anno , Silvio De Siena , Fabrizio Illuminati

Computational challenges associated with the use of Wigner functions to identify non-classical properties of states are addressed with the aid of generating functions. It allows the computation of the Wigner functions of photon-subtracted…

Quantum Physics · Physics 2021-11-18 Filippus S. Roux

We propose a two-photon micromaser-based scheme for the generation of a nonclassical state from a mixed state. We conclude that a faster, as well as a higher degree of field purity is achieved in comparison to one-photon processes. We…

Quantum Physics · Physics 2016-02-16 A. F. Gomes , J. A. Roversi , A. Vidiella-Barranco

We investigate the classical dynamics of optical nonlinear Kerr couplers, focusing on their potential relevance to quantum computing applications. The system consists of three Kerr-type nonlinear oscillators arranged in two configurations:…

Chaotic Dynamics · Physics 2025-08-25 K. Chmielewski , K. Grygiel , K. Bartkiewicz
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