Hybrid Systems for the Generation of Nonclassical Mechanical States via Quadratic Interactions

Muñoz, Carlos Sánchez; Lara, Antonio; Puebla, Jorge; Nori, Franco

doi:10.1103/physrevlett.121.123604

Cited by 65 publications

(40 citation statements)

References 110 publications

(166 reference statements)

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“…In recent years, the driven-dissipative Bose-Hubbard model in presence of a two-photon -i.e. quadratic in the field -driving term has been studied both theoretically [19,25,[40][41][42][43][44][45][46][47][48][49] and experimentally [50,51]. This quadratically driven scheme has been in particular proposed as a possible realization of a noise-resilient quantum code, where photonic Schrödinger's cat states with even and odd photon number parity behave as interacting spin degrees of freedom [42][43][44][45]50].…”

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confidence: 99%

Quantum Critical Regime in a Quadratically Driven Nonlinear Photonic Lattice

et al. 2019

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We study an array of coupled optical cavities in presence of two-photon driving and dissipation. The system displays a critical behavior similar to that of a quantum Ising model at finite temperature. Using the corner-space renormalization method, we compute the steady-state properties of finite lattices of varying size, both in one-and two-dimensions. From a finite-size scaling of the average of the photon number parity, we highlight the emergence of a critical point in regimes of small dissipations, belonging to the quantum Ising universality class. For increasing photon loss rates, a departure from this universal behavior signals the onset of a quantum critical regime, where classical fluctuations induced by losses compete with long-range quantum correlations.The emergence of critical phenomena in the nonequilibrium steady state (NESS) of open quantum systems [1-3], arising from the competition between the incoherent and coherent dynamics, is a topic that has gathered increasing attention in recent years, especially in view of the possible experimental realization of model systems using circuit QED [4][5][6], lattices of ultracold atoms [7-10], or other advanced quantum platforms [11,12]. Several theoretical studies have highlighted the possibility of dissipative phase transitions in various many-body systems [1][2][3][4][13][14][15][16][17][18][19][20][21][22][23][24][25][26][27][28][29][30][31][32], possibly displaying novel universal properties [33]. In this regard, the question about the role played by quantum fluctuations in these critical phenomena is still a matter of debate.Bosonic systems on a lattice have been the object of several studies, motivated by the analogy with the Hamiltonian Bose-Hubbard model and by the possibility to realize experimental studies using arrays of optical cavities with a third-order optical nonlinearity [26][27][28][29][30][34][35][36][37][38][39]. In recent years, the driven-dissipative Bose-Hubbard model in presence of a two-photon -i.e. quadratic in the field -driving term has been studied both theoretically [19,25,[40][41][42][43][44][45][46][47][48][49] and experimentally [50,51]. This quadratically driven scheme has been in particular proposed as a possible realization of a noise-resilient quantum code, where photonic Schrödinger's cat states with even and odd photon number parity behave as interacting spin degrees of freedom [42][43][44][45]50]. This finding is suggestive of a possible scheme for realizing a photonic simulator of quantum spin models [52] and allows for a completely novel approach to the study of dissipative phase transitions. Indeed, while widely studied one-photon driving breaks the U (1) symmetry of the Hamiltonian, twophoton driving preserves a Z 2 symmetry which can be spontaneously broken [25,49], giving rise to a second order phase transition that is similar to that of the quantum transverse Ising model [53].The analogy to a quantum spin model leads to expect that, in the limit of low losses, this model should dis-play a quantum critical point ...

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confidence: 99%

Quantum Critical Regime in a Quadratically Driven Nonlinear Photonic Lattice

et al. 2019

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“…In general, the coupling strength of the second sideband can reach 2π × 10 kHz, and the third sideband can reach 2π × 1 kHz. They are 3 orders of magnitude higher than what can be achieved with the direct second-or third-order coupling between a single spin and the mechanical mode [46].…”

Section: A the Mollow Sidebandmentioning

confidence: 73%

“…The multi-phonon interaction featuring nonlinearity is widely studied for the preparation of nonclassical motion states [46,58,59,63], which may have potential applications in quantum information, quantum metrology and quantum biology [64]. In this section, we discuss some applications based on the multi-phonon interaction.…”

Section: Applicationsmentioning

confidence: 99%

Multiphonon interactions between nitrogen-vacancy centers and nanomechanical resonators

Dong

2019

Phys. Rev. A

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We investigate the multi-phonon interactions in a hybrid system composed of a nitrogen-vacancy center and a mechanical resonator. We show that, through appropriate sideband engineering analogy to the Mollow or Lamb-Dicke dynamics, the enhanced nonlinear interactions can dominate the coupled system. As an example, we show the preparation of nonclassical states of the mechanical motion and explore the quantum correlation of n-phonon with the engineered dissipation, based on the large multi-phonon coupling strength attainable in this sideband structure. This work takes full advantage of the structure and coherence features of defect centers in diamond, and may be useful for quantum information processing.

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“…In order to induce the coupling between the mechanical mode and the NV centers, the magnetic gradient is usually required. [ 51–54 ] It has been found that both the first order magnetic gradient [ 36,55 ] and the second order magnetic gradient [ 56–58 ] can induce the strong coupling between the translational motion and the NV centers. Recent studies also show the possibility of strong coupling between the levitated torsional mode and the NV center in the uniform magnetic field.…”

Section: Manipulating Motional Modesmentioning

confidence: 99%

Quantum Information Processing and Precision Measurement Using a Levitated Nanodiamond

Zhang

Yin

2021

Adv Quantum Tech

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The nanodiamond, which hosts nitrogen‐vacancy (NV) centers, has been levitated in vacuum either through optical tweezers or through an ion trap. It combines the advantages of the large mass and long coherent discrete internal energy levels, which makes it an ideal platform for quantum information processing and precision measurement. In this review, the quantum information processing and the precision measurement based on the levitated nanodiamond are briefly summarized. The basic physics of the levitated nanodiamond and the NV centers is first introduced. Then the methods of manipulating motional states of the nanodiamond with the NV centers are discussed. The magnetic coupling mechanisms between the NV centers and the translational mode or the torsional mode are discussed, and the method of cooling the mechanical modes with the NV centers is discussed. Several applications are discussed, such as the mass spectrometry, the gravitational acceleration measurement, etc. The levitated nanodiamond can also be used for realizing universal quantum logic gates and quantum simulation. Finally, the conclusion and perspective are given.

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Hybrid Systems for the Generation of Nonclassical Mechanical States via Quadratic Interactions

Cited by 65 publications

References 110 publications

Quantum Critical Regime in a Quadratically Driven Nonlinear Photonic Lattice

Quantum Critical Regime in a Quadratically Driven Nonlinear Photonic Lattice

Multiphonon interactions between nitrogen-vacancy centers and nanomechanical resonators

Quantum Information Processing and Precision Measurement Using a Levitated Nanodiamond

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