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The relationship between classical and quantum three one-mode systems interacting in a non-linear way is described. We investigate the integrability of these systems by using the reduction procedure. The reduced coherent states for the…

Mathematical Physics · Physics 2018-05-09 A. Odzijewicz , E. Wawreniuk

We present the experimental discovery of multiple simultaneous degeneracies in the spectrum of a Kerr oscillator subjected to a squeezing drive. This squeezing, in combination with the Kerr interaction creates an effective static two-well…

We report on experimental observations of coexistence and interactions between nonlinear states with different polarizations in a passive Kerr resonator driven at a single carrier frequency. Using a fiber ring resonator with adjustable…

Using Wilson's numerical renormalization group (NRG) technique we compute zero-bias conductance and various correlation functions of a double quantum dot (DQD) system. We present different regimes within a phase diagram of the DQD system.…

Strongly Correlated Electrons · Physics 2007-06-01 Rok Zitko Janez Bonca

We study the effect of Kerr nonlinearity in quantum thermal machines having a Kerr-nonlinear oscillator as working substance and operating under the ideal quantum Otto cycle. We first investigate the efficiency of a Kerr-nonlinear heat…

Quantum Physics · Physics 2021-10-27 Udson C. Mendes , José S. Sales , Norton G. de Almeida

We quantify the quantum-to-classical transition of the single-mode Kerr nonlinear dynamics in the presence of loss. We establish three time scales that govern the dynamics, each with distinct characteristics. For times short compared to the…

Quantum Physics · Physics 2026-02-06 Mohsin Raza , John B. DeBrota , Ariel Shlosberg , Noah Lordi , Ivan H. Deutsch

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

It is shown that because of the radiation pressure a Schr\"odinger cat state can be generated in a resonator with oscillating wall. The optomechanical control of quantum macroscopic coherence and its detection is taken into account…

Quantum Physics · Physics 2009-10-30 S. Mancini , V. I. Man'ko , P. Tombesi

In quantum dot circuits, screening electron clouds in strongly-coupled leads will hybridize with the states of the artificial atom. Using a three-terminal geometry, we directly probe the atomic structure of a quantum dot with Kondo…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Ryan C. Toonen , Hua Qin , Andreas K. Huettel , Srijit Goswami , Daniel W. van der Weide , Karl Eberl , Robert H. Blick

New generation of Cooper pair splitters defined on hybrid nanostructures are devices with high tunable coupling parameters. Transport measurements through these devices revealed clear signatures of interference effects and motivated us to…

Mesoscale and Nanoscale Physics · Physics 2016-06-01 Fernando Domínguez , Alfredo Levy Yeyati

We present exact analogies between the tautochrone problem of mechanics and the squeezed states of quantum optics, to optical lattices. Both phenomena emerge in the same physical system, that of waveguide arrays with non-uniform couplings.…

We study how decoherence increases the efficiency with which we can simulate the quantum dynamics of an anharmonic oscillator, governed by the Kerr effect. As decoherence washes out the fine-grained subPlanck structure associated with…

Quantum Physics · Physics 2024-02-12 Tzula B. Propp , Sayonee Ray , John B. DeBrota , Tameem Albash , Ivan Deutsch

Nonlinear squeezing is a property of non-Gaussian states of light with an important application in continuous variable quantum computing. We study the generation of nonlinear squeezing in multimode systems produced by the photon-added…

Quantum Physics · Physics 2025-05-15 Vojtěch Kala , Denis Kopylov , Petr Marek , Polina Sharapova

In the control of classical mechanical systems, the feedback has been successfully applied to the production of the desired nonlinear dynamics. However, how much this can be done is still an open problem in quantum mechanical systems. This…

Quantum Physics · Physics 2012-07-24 Jing Zhang , Re-Bing Wu , Yu-xi Liu , Chun-Wen Li , Tzyh-Jong Tarn

We present a method for resolving spatial mode overlaps in coupled microresonators based on Kerr and thermal cross-phase modulation. Through a pump-probe setup, we measure experimental overlap in a three-ring resonator with good agreement…

We propose a reliable scheme to simulate tunable and ultrastrong mixed (first-order and quadratic optomechanical couplings coexisting) optomechanical interactions in a coupled two-mode bosonic system, in which the two modes are coupled by a…

Quantum Physics · Physics 2021-08-20 Yue-Hui Zhou , Xian-Li Yin , Jie-Qiao Liao

The theory of quantum propagator and time--dependent integrals of motion in quantum optics is reviewed as well as the properties of Wigner function, Q--function, and coherent state representation. Propagators and wave functions of a free…

Quantum Physics · Physics 2009-10-28 V. I. Man'ko

The significance of photon addition in engineering the single- and two-mode (bipartite correlations) nonclassical properties of a quantum state is investigated. Specifically, we analyzed the behavior of the Wigner function of two…

Quantum Physics · Physics 2022-06-10 Arpita Chatterjee , Kishore Thapliyal , Anirban Pathak

Quantum harmonic oscillators model a wide variety of phenomena ranging from electromagnetic fields to vibrations of atoms in molecules. Their excitations can be represented by bosons such as photons, single particles of light, or phonons,…

We have observed period-tripling subharmonic oscillations, in a superconducting coplanar waveguide resonator operated in the quantum regime, $k_B T \ll \hbar\omega$. The resonator is terminated by a tunable inductance that provides a…

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