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We investigate the quantum properties for the codirectional three-mode Kerr nonlinear coupler. We investigate single-, two- and three-mode quadrature squeezing, Wigner function and purity. We prove that this device can provide richer…

Quantum Physics · Physics 2015-05-13 Faisal A. A. El-Orany , M. Sebawe Abdalla , Jan Perina

We theoretically investigate the solitary waves and their switching dynamics in a $\mathcal{PT}$-symmetric directional fiber coupler, exhibiting Kerr nonlinearity, by developing a variational analysis. We analyze the fundamental switching…

Optics · Physics 2022-06-22 Ambaresh Sahoo , Amarendra K. Sarma

We propose the use of a superconducting charge qubit capacitively coupled to two resonant nanomechanical resonators to generate Yurke-Stoler states, i.e. quantum superpositions of pairs of distinguishable coherent states 180$^\circ$ out of…

Quantum Physics · Physics 2015-05-13 F. L. Semião , K. Furuya , G. J. Milburn

Phase shifts induced by the Kerr effect are usually very small at the single-photon level. We propose two circuits for enhancing the cross-Kerr phase shift by applying one- and two-mode quadrature squeezing operators. Our results are based…

Quantum Physics · Physics 2014-07-08 Monika Bartkowiak , Lian-Ao Wu , Adam Miranowicz

Quantum states with nonlinear squeezing are a necessary resource for deterministic implementation of high-order quadrature phase gates that are, in turn, sufficient for advanced quantum information processing. We demonstrate that this class…

Quantum Physics · Physics 2021-07-15 Šimon Bräuer , Petr Marek

We study classical and quantum echoes in a Kerr oscillator driven by a frequency-controlling pulsed perturbation. We consider dynamical response to the perturbation for a single coherent state and for Schr\"odinger cat states constructed as…

Quantum Physics · Physics 2025-10-10 Yun-Wen Mao , Ilia Tutunnikov , Roman V. Krems , Ilya Sh. Averbukh

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…

State measurement of a quantum harmonic oscillator is essential in quantum optics and quantum information processing. In a system of trapped ions, we experimentally demonstrate the projective measurement of the state of the ions' motional…

Quantum Physics · Physics 2017-11-15 Shiqian Ding , Gleb Maslennikov , Roland Hablutzel , Dzmitry Matsukevich

We investigate the quantum properties of a nonlinear Kerr oscillator driven by a three-photon pump. We derive both exact and approximate analytical expressions for the ground state of this interacting model. The exact solution arises at an…

Quantum Physics · Physics 2026-05-21 Alessandro Bruno , Patrick P. Potts , Alexander Grimm , Matteo Brunelli

Strong nonlinear interactions between quantized excitations are an important resource for quantum technologies based on bosonic oscillator modes. However, most electromagnetic and mechanical nonlinearities arising from intrinsic material…

We propose an experiment demonstrating the nonlocality of a quantum singlet-like state generated from a single photon incident on a beam splitter. Each of the two spatially separated apparatuses in the setup performs a strongly unbalanced…

Quantum Physics · Physics 2009-10-31 Konrad Banaszek , Krzysztof Wodkiewicz

We study Kerr nonlinear resonators (KNR) driven by a continuous wave field in quantum regimes where strong Kerr interactions give rise to selective resonant excitations of oscillatory modes. We use an exact quantum theory of KNR in the…

Quantum Physics · Physics 2016-05-10 A. R. Shahinyan , A. R. Tamazyan , G. Yu. Kryuchkyan

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

In this Letter we study the evolution of the higher-order squeezing, namely, $n$th-order single-mode squeezing, sum- and difference-squeezing for the codirectional Kerr nonlinear coupler. We show that the amount of squeezing decreases when…

Quantum Physics · Physics 2015-05-13 Faisal Aly Aly El-Orany , Jan Perina

We make a comparative study of quadrature squeezing, photon-number distribution and Wigner function in a decayed quantum system. Specifically, for a field mode prepared initially in cat states interacting with a zero-temperature…

Quantum Physics · Physics 2015-05-28 Faisal A. A. El-Orany

In this paper we investigate the quantum phase properties for the coherent superposition states (Schr\"odinger-cat states) for two-mode multiphoton Jaynes-Cummings model in the framework of the Pegg-Barnett formalism. We also demonstrate…

Quantum Physics · Physics 2015-05-13 Faisal A. A. El-Orany , M. H. Mahran , M. R. B. Wahiddin , A. M. Hashim

We investigate non-classical effects such as fractional revivals, squeezing and higher-order squeezing of photon-added coherent states propagating through a Kerr-like medium.The Wigner functions corresponding to these states at the instants…

Quantum Physics · Physics 2007-05-23 C. Sudheesh , S. Lakshmibala , V. Balakrishnan

We study the effect of Kerr anharmonicity on the symmetry breaking phenomena of coupled quantum oscillators. We study two types of symmetry-breaking processes, namely the inhomogeneous steady state (or quantum oscillation death state) and…

Quantum Physics · Physics 2022-09-12 Biswabibek Bandyopadhyay , Tanmoy Banerjee

We investigate the quantum properties of superpositions of oppositely squeezed states, which can be regarded as Schrodinger cat states. Compared with conventional coherent-state cat states, these states exhibit distinct photon-number…

Quantum Physics · Physics 2025-11-06 Hiroo Azuma , William J. Munro , Kae Nemoto

In this paper we study the quantum phase properties of {\it "nonlinear coherent states"} and {\it "solvable quantum systems with discrete spectra"} using the Pegg-Barnett formalism in a unified approach. The presented procedure will then be…

Quantum Physics · Physics 2010-11-11 G. R. Honarasa , M. K. Tavassoly , M. Hatami
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