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Setting off from the classic input-output formalism, we develop a theoretical framework to characterise the Gaussian quantum channels relating the initial correlations of an open bosonic system to those of properly identified output modes.…

Quantum Physics · Physics 2012-10-01 Tommaso Tufarelli , Alex Retzker , Martin B. Plenio , Alessio Serafini

With extensive variational simulations, dissipative quantum phase transitions in the sub-Ohmic spin-boson model are numerically studied in a dense limit of environmental modes. By employing a generalized trial wave function composed of…

Statistical Mechanics · Physics 2023-09-06 Yulong Shen , Nengji Zhou

The systems with multimode nonstationary Hamiltonians quadratic in position and momentum operators are reviewed. The tomographic probability distributions (tomograms) for the Fock states and Gaussian states of the quadratic systems are…

Quantum Physics · Physics 2007-05-23 V. I. Man'ko , V. A. Sharapov , E. V. Shchukin

Classical optomechanical systems feature self-sustained oscillations, where multiple periodic orbits at different amplitudes coexist. We study how this multistability is realized in the quantum regime, where new dynamical patterns appear…

Quantum Physics · Physics 2016-04-19 C. Schulz , A. Alvermann , L. Bakemeier , H. Fehske

A nonlocal circulator protocol is proposed in hybrid optomechanical system. By analogy with quantum communication, using the input-output relationship, we establish the quantum channel between two optical modes with long-range. The three…

Quantum Physics · Physics 2022-06-22 Ji-Hui Zheng , Rui Peng , Jiong Cheng , Jing An , Wen-Zhao Zhang

Mechanical systems are one of the promising platforms for classical and quantum information processing and are already widely-used in electronics and photonics. Cavity optomechanics offers many new possibilities for information processing…

Despite recent progress in nonlinear optics in wavelength-scale resonators, there are still open questions on the possibility of parametric oscillation in such resonators. We present a general approach to predict the behavior and estimate…

Optics · Physics 2021-02-22 Saman Jahani , Arkadev Roy , Alireza Marandi

Optomechanical systems provide a means for studying and controlling quantum effects in the motion of macroscopic objects. To date, quantum optomechanical effects have been studied in objects made from solids and gases. Here we describe…

We propose a coherent-control scheme for engineering quantum correlations in a cavity optomechanical (COM) system consisting of a driven optical cavity with an embedded nonlinear medium and a membrane, assisted by a coherent feedback loop.…

Quantum Physics · Physics 2026-04-21 Jinhao Jia , Yingru Li , Ran Liang , Mei Zhang

We theoretically analyze three-mode opto-acoustic parametric interactions in a coupled Fabry-Perot cavity, where one acoustic mode interacts with two optical modes. We show explicitly that extra degrees of freedom in a coupled cavity allow…

Optics · Physics 2009-11-13 H. Miao , C. Zhao , L. Ju , S. Gras , P. Barriga , Z. Zhang , D. G. Blair

Despite the several novel features arising from the dissipative optomechanical coupling, such effect remains vastly unexplored due to the lack of a simple formalism that captures non-Hermiticity in optomechanical systems. In this Letter, we…

We propose a spectrometric method to reconstruct the motional states of mechanical modes in optomechanics. This is achieved by detecting the single-photon emission and scattering spectra of the optomechanical cavity. Owing to an…

Quantum Physics · Physics 2014-08-28 Jie-Qiao Liao , Franco Nori

Here, I derive an Ising Hamiltonian for $N$ coupled fibre-based Optical Parametric Oscillators (OPOs). For this, I use the Lugiato-Lefever equation. The derivation of the Hamiltonian does not pretend to be mathematically correct, although…

Pattern Formation and Solitons · Physics 2024-07-02 Marina Zajnulina

The measurement of a quantum system becomes itself a quantum-mechanical process once the apparatus is internalized. That shift of perspective may result in different physical predictions for a variety of reasons. We present a model…

Mathematical Physics · Physics 2019-08-28 Martin Fraas , Gian Michele Graf , Lisa Hänggli

A major goal in optomechanics is to observe and control quantum behavior in a system consisting of a mechanical resonator coupled to an optical cavity. Work towards this goal has focused on increasing the strength of the coupling between…

Quantum Physics · Physics 2015-05-18 Jack C. Sankey , Cheng Yang , Benjamin M. Zwickl , Andrew M. Jayich , Jack G. E. Harris

We show experimentally that parametric interaction can induce a cooperative oscillation of non simultaneously resonant transverse modes in an optical parametric oscillator. More generally, this effect is expected to occur in any spatially…

We theoretically investigate interactions between non-degenerate mechanical oscillators mediated by a time-dependent cavity field. We obtain a reduced master equation valid for all optomechanical systems operating in the weak coupling…

Quantum Physics · Physics 2015-07-16 L. F. Buchmann , D. M. Stamper-Kurn

In this paper, we propose and explore an experimentally viable scheme to realize tunable optomechanically induced transparency (OMIT) and optomechanically induced absorption (OMIA) phenomena in a hybrid microwave-optomechanical circuit in…

Quantum Physics · Physics 2025-08-26 S. Bayati , M. H. Naderi

Coupled resonators form band-like optical states that support rich nonlinearities beyond what is possible in single resonators. In these systems, four-wave mixing mediates interband coupling, displaying multimode dynamics that span both…

Quantum computation and communication protocols require quantum resources which are in the continuous variable regime squeezed and/or quadrature entangled optical modes. To perform more and more complex and robust protocols, one needs…

Quantum Physics · Physics 2015-05-27 Benoît Chalopin , Francesco Scazza , Claude Fabre , Nicolas Treps