Photon blockade in quadratically coupled optomechanical systems

Abstract

We study the steady-state photon statistics of a quadratically coupled optomechanical cavity, which is weakly driven by a monochromatic laser field. We examine the photon blockade by evaluating the second-order correlation function of the cavity photons. By restricting the system within the zero-, one-, and two-photon subspace, we obtain an approximate analytical expression for the correlation function. We also numerically investigate the correlation function by solving the quantum master equation including both optical and mechanical dissipations. The results show that, in the deep-resolved-sideband and single-photon strong-coupling regimes, the single-photon resonant driving will induce a photon blockade, which is limited by the thermal noise of the mechanical environment.

6 pages, 4 figures

References in corpus (14)

• QuTiP 2: A Python framework for the dynamics of open quantum systems
• Quantum fluids of light
• Strong dispersive coupling of a high finesse cavity to a micromechanical membrane
• Observation of Resonant Photon Blockade at Microwave Frequencies using Correlation Function Measurements
• Two-photon and three-photon blockades in driven nonlinear systems
• Optomechanical trapping and cooling of partially transparent mirrors
• Single-photon nonlinearities in two-mode optomechanics
• Antibunching photons in a cavity coupled to an optomechanical system
• Photon-induced tunneling in optomechanical systems
• Photon correlations in a two-site non-linear cavity system under coherent drive and dissipation
• Full photon statistics of a light beam transmitted through an optomechanical system
• Quantum mechanical study of a generic quadratically coupled optomechanical system
• Proposal for a near-field optomechanical system with enhanced linear and quadratic coupling
• A Quantum Optical Spring

Cited by in corpus (104)

• Nonreciprocal Photon Blockade
• Nonreciprocal unconventional photon blockade in a spinning optomechanical system
• Single-photon cavity optomechanics mediated by a quantum two-level system
• Steady-state Mechanical Squeezing in an Optomechanical System via Duffing Nonlinearity
• Optomechanical analog of two-color electromagnetically-induced transparency: Photon transmission through an optomechanical device with a two-level system
• Tunable photon blockade in a hybrid system consisting of an optomechanical device coupled to a two-level system
• Heralded single phonon preparation, storage and readout in cavity optomechanics
• Enhancing optomechanical coupling via the Josephson effect
• Quantum optical diode with semiconductor microcavities
• Review of cavity optomechanical cooling
• Simultaneous cooling of coupled mechanical resonators in cavity optomechanics
• Simultaneous blockade of a photon phonon, and magnon induced by a two-level atom
• Exceptional Photon Blockade: Engineering Photon Blockade with Chiral Exceptional Points
• Tunable optomechanically induced transparency by controlling the dark-mode effect
• Multiphoton blockade in the two-photon Jaynes-Cummings model
• Distinguishing photon blockade in a PT-symmetric optomechanical system
• Lyapunov-based quantum synchronization in designed optomechanical systems
• State-dependent photon blockade via quantum-reservoir engineering
• Entanglement and quantum superposition induced by a single photon
• Unconventional photon blockade in three-mode optomechanics
• Enhanced photon blockade in an optomechanical system with parametric amplification
• Enhancement of photon blockade effect via quantum interference
• Single-Photon-Triggered Quantum Phase Transition
• Circuit analog of quadratic optomechanics
• Ground-state cooling of an magnomechanical resonator induced by magnetic damping
• Enhancement of few-photon optomechanical effects with cross-Kerr nonlinearity
• Controllable nonlinearity in a dual-coupling optomechanical system under a weak-coupling regime
• Domino cooling of a coupled mechanical-resonator chain via cold-damping feedback
• Controlling photon transport in the single-photon weak-coupling regime of cavity optomechanics
• Conventional and unconventional photon blockade effects in an atom-cavity system
• Cross-correlation between photons and phonons in quadratically coupled optomechanical systems
• Optically induced phonon blockade in an optomechanical system with second-order nonlinearity
• Photon blockade in a bi-mode nonlinear nano-cavity embedded with a quantum-dot
• Manipulation and improvement of multiphoton blockade in a two cascade three-level atoms cavity-QED system
• Multi-output microwave single-photon source using superconducting circuits with longitudinal and transverse couplings
• Achieving Strong Magnon Blockade through Magnon Squeezing in a Cavity Magnetomechanical System
• Modulated Electromechanics: Large Enhancements of Nonlinearities
• Phonon amplification in two coupled cavities containing one mechanical resonator
• $n$-photon blockade with an $n$-photon parametric drive
• Quantum Phase Transitions in Optomechanical Systems
• Enhancing quadratic optomechanical coupling via nonlinear medium and lasers
• Photon blockade in non-Hermitian optomechanical systems with nonreciprocal couplings
• Unconventional Cavity Optomechanics: Nonlinear Control of Phonons in the Acoustic Quantum Vacuum
• Optomechanical dynamics in the $\mathcal{P}\mathcal{T}$- and broken-$\mathcal{P}\mathcal{T}$-symmetric regimes
• Kerr-nonlinearity Enhanced Conventional Photon Blockade in Second-order-nonlinear System
• Effects of linear and quadratic dispersive couplings on optical squeezing in an optomechanical system
• Temporal Dynamics and Nonclassical Photon Statistics of Quadratically Coupled Optomechanical Systems
• Single-photon-triggered quantum chaos
• Quantum heat engine with a quadratically coupled optomechanical system
• Improving photon blockade, entanglement and mechanical-cat-state generation in a generalized cross-Kerr optomechanical circuit
• Optomechanically induced optical responses with non-rotating wave approximation
• Dynamical encircling exceptional point in largely detuned multimode optomechanical system
• Photon blockade with a trapped $\Lambda$-type three-level atom in asymmetrical cavity
• Mechanical cooling in the single-photon quadratical optomechanics
• Retrieval of photon blockade effect in the dispersive Jaynes-Cummings model
• Generation of single entangled photon-phonon pairs via an atom-photon-phonon interaction
• Multiple-photon bundle emission in the $n$-photon Jaynes-Cummings model
• Noise suppression of on-chip mechanical resonators by chaotic coherent feedback
• Millionfold improvement in multivibration-feedback optomechanical refrigeration via auxiliary mechanical coupling
• Optomechanical second-order sidebands and group delays in a spinning resonator with parametric amplifier and non-Markovian effects
• Optical response of a dual membrane active-passive optomechanical cavity
• Comparing nonlinear optomechanical coupling in membrane-in-the-middle and single-cavity optomechanical systems
• Optomechanically induced ultraslow and ultrafast light
• Quantum Optical Response of a Hybrid Optomechanical Device embedded with a Qubit
• Bistability and squeezing of the librational mode of an optically trapped nanoparticle
• Nonreciprocal photon blockade induced by parametric amplification in an asymmetrical cavity
• Hybrid coupling optomechanically assisted nonreciprocal photon blockade
• Nonclassical correlated deterministic single-photon pairs for a trapped atom in bimodal cavities
• Solution of Cross-Kerr Interaction Combined with Parametric Amplification
• All-optical quantum simulation of ultrastrong optomechanics
• Chiral photon blockade in the spinning Kerr resonator
• Generation of strong mechanical squeezing through the joint effect of two-tone driving and parametric pumping
• Nonlinear optomechanical systems with quasi-periodic and chaotic dynamics
• Method of Higher-Order Operators for Quantum Optomechanics
• Optical normal-mode-induced phonon-sideband splitting in photon-blockade effect
• Fröhlich Condensate of Phonons in Optomechanical Systems
• Higher-order interactions in quantum optomechanics: Analytical solution of nonlinearity
• Higher-order interactions in quantum optomechanics: Revisiting theoretical foundations
• Exceptional point enhanced optical gyroscope in mechanical PT-symmetric system
• Disorder-Induced Strongly Correlated Photons in Waveguide QED
• Higher-Order Interactions in Quantum Optomechanics: Analysis of Quadratic Terms
• Effects of Quadratic Optomechanical Coupling on Bipartite Entanglements, Mechanical Ground-State Cooling and Squeezing in an Electro-Optomechanical System
• Two-photon scattering in mixed cavity optomechanics
• Quantum Simulation of Tunable and Ultrastrong Mixed-Optomechanics
• Dynamical Blockade Optimizing via Particle Swarm Optimization Algorithm
• Scaling Enhancement of Photon Blockade in Output Fields
• Spectral characterization of couplings in a mixed optomechanical model
• Photon antibunching in a cavity-QED system with two Rydberg-Rydberg interaction atoms
• Mimicking a hybrid-optomechanical system using an intrinsic quadratic coupling in conventional optomechanical system
• Phase-dependent controllable field generation in a ring cavity resonator
• Selective cooling and squeezing in a lossy optomechanical closed loop embodying an exceptional surface
• Two-dimensional optomechanics formed by the graphene sheet and photonic crystal cavity
• Dynamics and Spectral Response of linear-quadratic optomechanical interaction: Effects of pure dephasing
• Nonreciprocal Photon Blockade in an Asymmetric Cavity
• Nonlinear opto-vibronics in molecular systems
• Optimal Photon blockade on the maximal atomic coherence
• Phonon laser in a cavity magnomechanical system
• Antibunching via cooling by heating
• Photon statistics on the extreme entanglement
• Tunable photon blockade in a two-mode second-order nonlinear system embedded with a two-level atom
• Significant enhancement in refrigeration and entanglement in auxiliary-cavity-assisted optomechanical systems
• Hybrid level anharmonicity and interference induced photon blockade in a two-qubit cavity QED system with dipole-dipole interaction
• Mechanical engineering of photon blockades in a cavity optomechanical system
• Dual-mode ground-state cooling in quadratic optomechanical systems: from multistability to general dark-mode suppression