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Related papers: Optical realization of nonlinear quantum dynamics

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We consider a weakly interacting coherently coupled Bose-Einstein condensate in a double-well potential. We show by means of stochastic simulations that the system could possibly be driven to an entangled macroscopic superposition state or…

Statistical Mechanics · Physics 2022-09-21 J. Ruostekoski

A globally controlled scheme for quantum transport is proposed. The scheme works on a 1D chain of nearest neighbor coupled systems of qudits (finite dimension), or qunats (continuous variable), taking any arbitrary initial quantum state of…

Quantum Physics · Physics 2009-11-13 Gerardo A. Paz-Silva , Stojan Rebic , Jason Twamley , Tim Duty

A superconducting qubit coupled to a microwave resonator provides a controllable system that enables fundamental studies of light-matter interactions. In the dispersive regime, photons in the resonator exhibit induced frequency and phase…

Quantum non-Gaussian states are crucial for the fundamental understanding of non-linear bosonic systems and simultaneously advanced applications in quantum technologies. In many bosonic experiments the important quantum non-Gaussian feature…

Quantum Physics · Physics 2025-10-07 Jan Provazník , Petr Marek , Julien Laurat , Radim Filip

We develop a systematic projection-operator technique for constructing Gaussian approximations and their perturbative corrections in bosonic nonlinear models. As a case study, we apply it to the driven dissipative Kerr oscillator. In the…

Quantum Physics · Physics 2026-03-02 K. Sh. Meretukov , A. E. Teretenkov

The (2+1)-dimensional Thirring model is studied by using the Gaussian approximation method in the functional Schr\"odinger picture. Although the dynamical symmetry breaking does not occur in the large N limit, it does occur in the Gaussian…

High Energy Physics - Theory · Physics 2009-10-28 S. J. Hyun , G. H. Lee , J. H. Yee

Assuming a non-paraxial propagation operator, we study the propagation of an electromagnetic field with an arbitrary initial condition in a quadratic GRIN medium. We show that at certain specific periodic distances, the propagated field is…

Optics · Physics 2016-03-14 H. M. Moya-Cessa , F. Soto-Eguibar , V. Arrizon , A. Zúñiga-Segundo

Optical non-Gaussian states hold great promise as a pivotal resource for advanced optical quantum information processing and fault-tolerant long-distance quantum communication. Establishing their faithful transmission in a real-world…

Quantum superpositions of distinct coherent states in a single-mode harmonic oscillator, known as "cat states", have been an elegant demonstration of Schrodinger's famous cat paradox. Here, we realize a two-mode cat state of electromagnetic…

We discuss general properties of the equilibrium state of parametric down-conversion in superconducting quantum circuits with detunings and Kerr anharmonicities, in the strongly nonlinear regime. By comparing moments of the steady state and…

Quantum Physics · Physics 2019-09-24 Feng-Xiao Sun , Qiongyi He , Qihuang Gong , Run Yan Teh , Margaret D. Reid , Peter D. Drummond

We consider the logarithmic Schr{\"o}dinger equation in a semiclassical scaling, in the presence of a smooth, at most quadratic, external potential. For initial data under the form of a single coherent state, we identify the notion of…

Analysis of PDEs · Mathematics 2025-05-28 Rémi Carles , Fangyuan Dong

Collapse of a Gaussian beam in self-focusing Kerr media arrested by nonlinear losses may lead to the spontaneous formation of a quasi-stationary nonlinear unbalanced Bessel beam with finite energy, which can propagate without significant…

Optics · Physics 2009-11-13 Miguel A. Porras , Alberto Parola

Quantum fluids of light are an emerging tool employed in quantum many-body physics. Their amazing properties and versatility allow using them in a wide variety of fields including gravitation, quantum information and simulation. However the…

Pattern Formation and Solitons · Physics 2017-10-18 Maria Chiara Braidotti , Antonio Mecozzi , Claudio Conti

In ref [Phys. Rev. A 106, 013720], the scheme of quantum non-demolition measurement of optical quanta that uses a resonantly enhanced Kerr nonlinearity in optical microresonators was analyzed theoretically. It was shown that using the…

Quantum Physics · Physics 2023-08-15 Stepan Balybin , Dariya Salykina , Farid Ya. Khalili

We report preparation and characterization of coherent superposition states t |0> + alpha |1> of electromagnetic field by conditional measurements on a beamsplitter. The state is generated in one of the beam splitter output channels if a…

Quantum Physics · Physics 2009-11-07 A. I. Lvovsky , J. Mlynek

We provide a thorough theoretical analysis of qubit state measurement in a setup where a driven, parametrically-coupled cavity system is directly coupled to the qubit, with one of the cavities having a weak Kerr nonlinearity. Such a system…

Mesoscale and Nanoscale Physics · Physics 2014-12-09 Saeed Khan , R. Vijay , I. Siddiqi , Aashish A. Clerk

We present a scheme for the quantum teleportation of the polarization state of a photon employing a cross-Kerr medium. The experimental feasibility of the scheme is discussed and we show that, using the recently demonstrated ultraslow light…

Quantum Physics · Physics 2009-11-06 David Vitali , Mauro Fortunato , Paolo Tombesi

"Schrodinger's cat" is a gedankenexperiment intended to highlight conceptual difficulties in the interpretation of quantum mechanics. The generation of 'cat-like' states is central to numerous quantum information protocols. In particular,…

Quantum Physics · Physics 2010-06-15 Itai Afek , Oron Ambar , Yaron Silberberg

It is generally difficult to study the dynamical properties of a quantum system with both inherent quantum noises and non-perturbative nonlinearity. Due to the possibly drastic intensity increase of an input coherent light in the gain-loss…

Quantum Physics · Physics 2015-05-27 Bing He , Shu-Bin Yan , Jing Wang , Min Xiao

A Kerr-nonlinear parametric oscillator (KPO) can generate a quantum superposition of two oscillating states, known as a Schr\"{o}dinger cat state, via quantum adiabatic evolution, and can be used as a qubit for gate-based quantum computing…

Quantum Physics · Physics 2021-12-22 Hayato Goto , Taro Kanao