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Related papers: Phase-locking at low-level of quanta

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We discuss dissipative chaos showing symmetries in the phase space and nonclassical statistics for a parametrically driven nonlinear Kerr resonator (PDNR). In this system an oscillatory mode is created in the process of degenerate…

Other Condensed Matter · Physics 2014-07-30 T. V. Gevorgyan , G. H. Hovsepyan , A. R. Shahinyan , G. Yu. Kryuchkyan

We show how sub-Planck phase-space structures in the Wigner function can be used to achieve Heisenberg-limited sensitivity in weak force measurements. Nonclassical states of harmonic oscillators, consisting of superpositions of coherent…

Quantum Physics · Physics 2009-11-11 F. Toscano , D. A. R. Dalvit , L. Davidovich , W. H. Zurek

We study nonlinear phenomena of bistability and chaos at a level of few quanta. For this purpose we consider a single-mode dissipative oscillator with strong Kerr nonlinearity with respect to dissipation rate driven by a monochromatic force…

Quantum Physics · Physics 2014-09-01 T. V. Gevorgyan , A. R. Shahinyan , Lock Yue Chew , G. Yu. Kryuchkyan

We study the Wigner function of phase-locked nondegenerate optical parametric oscillator and find the signatures of both phase-locking and self-pulsing phenomena in phase space. We also analyze the problem of continuous-variable…

Quantum Physics · Physics 2007-05-23 N. H. Adamyan , S. B. Manvelyan , G. Yu. Kryuchkyan

We investigate quantum properties of phase-locked light beams generated in a nondegenerate optical parametric oscillator (NOPO) with an intracavity waveplate. This investigation continuous our previous analysis presented in Phys.Rev.A 69,…

Quantum Physics · Physics 2009-11-11 H. H. Adamyan , N. H. Adamyan , S. B. Manvelyan , G. Yu. Kryuchkyan

We study a periodically driven qubit coupled to a quantized cavity mode. Despite its apparent simplicity, this system supports a rich variety of exotic phenomena, such as topological frequency conversion as recently discovered in [Martin et…

Mesoscale and Nanoscale Physics · Physics 2021-01-07 Frederik Nathan , Gil Refael , Mark S. Rudner , Ivar Martin

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

Low-order nonlinear phase gates allow the construction of versatile higher-order nonlinearities for bosonic systems and grant access to continuous variable quantum simulations of many unexplored aspects of nonlinear quantum dynamics. The…

Quantum Physics · Physics 2025-10-15 Darren W. Moore , Radim Filip

Motivated by quantum experiments with nanomechanical systems, the evolution of a Kerr oscillator with focus on creation of states with a negative Wigner function is investigated. Using the phase space formalism, results are presented that…

Quantum Physics · Physics 2022-02-07 Christian Anker Rosiek

We show that the behaviour in phase space of the Wigner function associated to the electromagnetic modes carries the information of both, the entanglement properties between matter and field, and the regions in parameter space where quantum…

Quantum Physics · Physics 2023-02-21 E. Nahmad-Achar , R. López-Peña , S. Cordero , O. Castaños

The quantum state of a system of qubits can be represented by a Wigner function on a discrete phase space, each axis of the phase space taking values in a finite field. Within this framework, we show that one can make sense of the notion of…

Quantum Physics · Physics 2007-05-23 William K. Wootters , Daniel M. Sussman

We discuss a model of two nonlinear Kerr-like oscillators, mutually coupled and excited by parametric process. We show that the system's evolution, starting from Werner-like states, remains closed within a small set of two-mode n-photon…

Quantum Physics · Physics 2014-06-03 A. Kowalewska-Kudłaszyk , W. Leoński

Electromagnetic modes are instrumental in building quantum machines. In this experiment, we introduce a method to manipulate these modes by effectively controlling their phase space. Preventing access to a single energy level, corresponding…

Conditional preparation of photon number states from a continuous-wave nondegenerate optical parametric oscillator is investigated. We derive the phase space Wigner function for the output state conditioned on photo detection events that…

Quantum Physics · Physics 2007-06-07 Anne E. B. Nielsen , Klaus Molmer

We investigate a doubly resonant optical cavity containing a Kerr nonlinear medium that couples two modes by a cross phase modulation. One of these modes is driven by a single photon pulsed field, and the other mode is driven by a coherent…

Quantum Physics · Physics 2015-05-14 W. J. Munro , K. Nemoto , G. J. Milburn

Both classical and quantum damped systems give rise to complex spectra and corresponding resonant states. We investigate how resonant states, which do not belong to the Hilbert space, fit the phase space formulation of quantum mechanics. It…

Mathematical Physics · Physics 2007-05-23 D. Chruscinski

The paper studies resonant generation of higher-order harmonics in a closed cavity in Euler-Heisenberg electrodynamics from the point of view of pure quantum field theory. We consider quantum states of the electromagnetic field in a…

Quantum Physics · Physics 2023-10-20 Ilia Kopchinskii , Petr Satunin

Schemes for optical-state truncation of two cavity modes are analysed. The systems, referred to as the nonlinear quantum scissors devices, comprise two coupled nonlinear oscillators (Kerr nonlinear coupler) with one or two of them pumped by…

Quantum Physics · Physics 2009-08-03 Adam Miranowicz , Wieslaw Leonski

Cavity optomechanics implements a unique platform where moving objects can be probed by quantum fields, either laser light or microwave signals. With a pump tone driving at a frequency above the cavity resonance, self-sustained oscillations…

Mesoscale and Nanoscale Physics · Physics 2024-10-17 A. Delattre , I. Golokolenov , R. Pedurand , X. Zhou , A. Fefferman , E. Collin

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
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