Quadrature squeezing enhances Wigner negativity in a mechanical Duffing oscillator

Abstract

Generating macroscopic non-classical quantum states is a long-standing challenge in physics. Anharmonic dynamics is an essential ingredient to generate these states, but for large mechanical systems, the effect of the anharmonicity tends to become negligible compared to decoherence. As a possible solution to this challenge, we propose to use a motional squeezed state as a resource to effectively enhance the anharmonicity. We analyze the production of negativity in the Wigner distribution of a quantum anharmonic resonator initially in a squeezed state. We find that initial squeezing enhances the rate at which negativity is generated. We also analyze the effect of two common sources of decoherence, namely energy damping and dephasing, and find that the detrimental effects of energy damping are suppressed by strong squeezing. In the limit of large squeezing, which is needed for state-of-the-art systems, we find good approximations for the Wigner function. Our analysis is significant for current experiments attempting to prepare macroscopic mechanical systems in genuine quantum states. We provide an overview of several experimental platforms featuring nonlinear behaviors and low levels of decoherence. In particular, we discuss the feasibility of our proposal with carbon nanotubes and levitated nanoparticles.

References in corpus (51)

• QuTiP 2: A Python framework for the dynamics of open quantum systems
• Laser cooling of a nanomechanical oscillator into its quantum ground state
• Models of Wave-function Collapse, Underlying Theories, and Experimental Tests
• Negativity of the Wigner function as an indicator of nonclassicality
• Motional Quantum Ground State of a Levitated Nanoparticle from Room Temperature
• Nonlinear damping in mechanical resonators based on graphene and carbon nanotubes
• Phase noise measurement in a cavity with a movable mirror undergoing quantum Brownian motion
• The Kerr-Cat Qubit: Stabilization, Readout, and Gates
• Measurement-based quantum control of mechanical motion
• Ultra-coherent nanomechanical resonators via soft clamping and dissipation dilution
• Sub-Planck spots of Schroedinger cats and quantum decoherence
• Colloquium: Quantum interference of clusters and molecules
• Quantum control of a nanoparticle optically levitated in cryogenic free space
• Measurement and control of a mechanical oscillator at its thermal decoherence rate
• Creation and control of multi-phonon Fock states in a bulk acoustic wave resonator
• Phononic bandgap nano-acoustic cavity with ultralong phonon lifetime
• Quantum Superposition of Massive Objects and Collapse Models
• Frequency fluctuations in silicon nanoresonators
• Noise-enabled precision measurements of a Duffing nanomechanical resonator
• Schrödinger cat states of a 16-microgram mechanical oscillator
• Probing deformed commutators with macroscopic harmonic oscillators
• Young's modulus of 2D materials extracted from their nonlinear dynamic response
• Nonlinearity in nanomechanical cantilevers
• Steady-state negative Wigner functions of nonlinear nanomechanical oscillators
• Laser Theory for Optomechanics: Limit Cycles in the Quantum Regime
• Dissipative optomechanical preparation of macroscopic quantum superposition states
• Ground State Cooling of an Ultracoherent Electromechanical System
• Wigner Function Evolution of Quantum States in Presence of Self-Kerr Interaction
• Engineering a Kerr-based Deterministic Cubic Phase Gate via Gaussian Operations
• Coherent Inflation for Large Quantum Superpositions of Microspheres
• Macroscopic Quantum Superpositions via Dynamics in a Wide Double-Well Potential
• Nonlinear nanomechanical resonators for quantum optoelectromechanics
• Giant Tunable Mechanical Nonlinearity in Graphene-Silicon Nitride Hybrid Resonator
• Quantum State Engineering with Circuit Electromechanical Three-Body Interactions
• Fast Quantum Interference of a Nanoparticle via Optical Potential Control
• Nonlinear nanomechanical resonators approaching the quantum ground state
• Frequency stabilization and noise-induced spectral narrowing in resonators with zero dispersion
• Negativity volume of the generalized Wigner function as an entanglement witness for hybrid bipartite states
• Nonlinearity as a resource for nonclassicality in anharmonic systems
• Nonlinear mechanics with photonic crystal nanomembranes
• Measurement of motion beyond the quantum limit by transient amplification
• Modelling and observation of nonlinear damping in dissipation-diluted nanomechanical resonators
• Linear-and-quadratic reservoir engineering of non-Gaussian states
• Measuring frequency fluctuations in nonlinear nanomechanical resonators
• Generating Giant and Tunable Nonlinearity in a Macroscopic Mechanical Resonator from Chemical Bonding Force
• Generation of Kerr non-Gaussian motional states of trapped ions
• Determination of effective mechanical properties of a double-layer beam by means of a nano-electromechanical transducer
• Precision calibration of the Duffing oscillator with phase control
• Nonlinear motion and mechanical mixing in as-grown GaAs nanowires
• Wigner Analysis of Particle Dynamics and Decoherence in Wide Nonharmonic Potentials
• Elementary test for non-classicality based on measurements of position and momentum

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