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We show how analogues of a large number of well-known nonlinear-optics phenomena can be realized with one or more two-level atoms coupled to one or more resonator modes. Through higher-order processes, where virtual photons are created and…

Quantum Physics · Physics 2017-07-05 Anton Frisk Kockum , Adam Miranowicz , Vincenzo Macrì , Salvatore Savasta , Franco Nori

Digital quantum simulators are among the most appealing applications of a quantum computer. Here we propose a universal, scalable, and integrated quantum computing platform based on tunable nonlinear electromechanical nano-oscillators. It…

Quantum Physics · Physics 2018-06-20 F. Tacchino , A. Chiesa , M. D. LaHaye , S. Carretta , D. Gerace

Mechanical quantum systems, such as resonators and levitated particles, offer unique opportunities for quantum metrology. Particularly, their significant mass and quantum-level control enable applications in measuring gravitational effects.…

In this letter, we investigate the quantum optical properties of driven-dissipative nonlinear systems in a cascade configuration. We show that pumping a nonlinear system with a state having a noncoherent statistics, can improve the…

Quantum Physics · Physics 2018-05-24 Giuseppe Buonaiuto , Emiliano Cancellieri , David M. Whittaker

We show that a nano-resonator can be prepared in mesoscopic-superposition states merely by monitoring a qubit coupled to the square of the resonators position. This works for thermal initial states, and does not require a third-order…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Kurt Jacobs , Lin Tian , Justin Finn

In the framework of the nonsecular perturbation theory based on the Bogoliubov averaging method, an optomechanical system with an asymmetric anharmonic mechanical resonator is studied. The cross-Kerr interaction and the Kerr-like…

Quantum Physics · Physics 2021-12-08 A. P. Saiko , R. Fedaruk , S. A. Markevich

Networks of nonlinear resonators offer intriguing perspectives as quantum simulators for non-equilibrium many-body phases of driven-dissipative systems. Here, we employ photon correlation measurements to study the radiation fields emitted…

We propose a protocol to realize nonadiabatic geometric quantum computation of small-amplitude Schr\"odinger cat qubits via invariant-based reverse engineering. We consider a system with a two-photon driven Kerr nonlinearity, which provides…

Quantum Physics · Physics 2022-04-05 Yi-Hao Kang , Ye-Hong Chen , Xin Wang , Jie Song , Yan Xia , Adam Miranowicz , Shi-Biao Zheng , Franco Nori

We analyze the requirements to test some of the most paradigmatic collapse models with a protocol that prepares quantum superpositions of massive objects. This consists of coherently expanding the wave function of a ground-state-cooled…

Quantum Physics · Physics 2011-11-29 Oriol Romero-Isart

We introduce a particular nonlinear generalization of quantum mechanics which has the property that it is exactly solvable in terms of the eigenvalues and eigenfunctions of the Hamiltonian of the usual linear quantum mechanics problem. We…

Quantum Physics · Physics 2024-05-21 Alan Chodos , Fred Cooper

It is demonstrated that the so-called "unavoidable quantum anomalies" can be avoided in the farmework of a special non-linear quantization scheme. A simple example is discussed in detail.

Quantum Physics · Physics 2009-10-30 A. Scotti , A. Ushveridze

The properties of a nonlinear oscillator with an additional term $k_g/x^2$, characterizing the isotonic oscillator, are studied. The nonlinearity affects to both the kinetic term and the potential and combines two nonlinearities associated…

Mathematical Physics · Physics 2015-06-22 Manuel F. Rañada

Recent progresses have revealed that quantum systems with multiple position-dependent couplings, e.g., giant atoms, can exhibit some unconventional phenomena, such as non-exponential decay etc. However, their potential applications are…

Quantum Physics · Physics 2022-06-28 Yu Ting Zhu , Rebing Wu , Zhihui Peng , Shibei Xue

We show that specific quantum noise, acting as an open-system reservoir for non-locally entangled atoms, can serve to preserve rather than degrade joint coherence. This creates a new type of long-time control over hiding and recovery of…

Quantum Physics · Physics 2009-12-01 Muhammed Yonac , Joseph H. Eberly

An open question in mechanics is whether mechanical resonators can be made nonlinear with vibrations approaching the quantum ground state. This requires engineering a mechanical nonlinearity far beyond what has been realized thus far. Here…

One of the most studied model systems in quantum optics is a two-level atom strongly coupled to a single mode of the electromagnetic field stored in a cavity, a research field named cavity quantum electrodynamics or CQED. CQED has recently…

Quantum Physics · Physics 2011-11-03 P. Bertet , F. R. Ong , M. Boissonneault , A. Bolduc , F. Mallet , A. C. Doherty , A. Blais , D. Vion , D. Esteve

We mainly investigate the quantum measurement of Kerr nonlinearity in the driven-dissipative system. Without the dissipation, the measurement precision of the nonlinearity parameter $\chi$ scales as "super-Heisenberg scaling" $1/N^2$ with…

Quantum Physics · Physics 2022-09-22 Dong Xie , Chunling Xu , An Min Wang

Bistable mechanical vibration is observed in a cavity magnomechanical system, which consists of a microwave cavity mode, a magnon mode, and a mechanical vibration mode of a ferrimagnetic yttrium-iron-garnet (YIG) sphere. The bistability…

Quantum Physics · Physics 2022-09-14 Rui-Chang Shen , Jie Li , Zhi-Yuan Fan , Yi-Pu Wang , J. Q. You

Nonlinear kinetic inductance in a high Q superconducting coplanar waveguide microresonator can cause a bifurcation of the resonance curve. Near the critical pumping power and frequency for bifurcation, large parametric gain is observed for…

Superconductivity · Physics 2015-05-13 Erik A. Tholen , Adem Ergul , Kai Stannigel , Carsten Hutter , David B. Haviland

Predictive design and optimization methods for controlled quantum systems depend on the accuracy of the system model. Any distortion of the input fields in an experimental platform alters the model accuracy and eventually disturbs the…

Quantum Physics · Physics 2023-06-29 Juhi Singh , Robert Zeier , Tommaso Calarco , Felix Motzoi