Ground state cooling of nanomechanical resonator via parametric linear coupling

Abstract

We present a ground state cooling scheme for a nanomechanical resonator linearly coupled with a LC oscillator. The linear coupling, when periodically modulated at red detuning, up-converts the low-frequency nanomechanical mode to the high-frequency LC oscillator mode and generates backaction force that can cool the resonator to its ground state in the resolved-sideband regime. We also study the effect of the quantum backaction noise on the cooling due to the counter rotating term in the linear coupling. The scheme can be compared with laser cooling for the atomic systems and can be realized in superconducting circuits.

references added, 5 pages, 3 figures

References in corpus (43)

• Quantum state engineering with Josephson-junction devices
• Strong dispersive coupling of a high finesse cavity to a micromechanical membrane
• Quantum Theory of Cavity-Assisted Sideband Cooling of Mechanical Motion
• Theory of ground state cooling of a mechanical oscillator using dynamical back-action
• Towards quantum superpositions of a mirror
• Radiation-pressure cooling and optomechanical instability of a micro-mirror
• Self-cooling of a micro-mirror by radiation pressure
• A Superconducting Persistent Current Qubit
• Resolved Sideband Cooling of a Micromechanical Oscillator
• Ground-state cooling of a micromechanical oscillator: generalized framework for cold damping and cavity-assisted cooling schemes
• Cooling of a micro-mechanical oscillator using radiation pressure induced dynamical back-action
• Cooling a nanomechanical resonator with quantum back-action
• Entanglement and decoherence of a micromechanical resonator via coupling to a Cooper box
• Generating Single Microwave Photons in a Circuit
• Laser cooling of a nanomechanical resonator mode to its quantum ground state
• An all-optical trap for a gram-scale mirror
• Parametric Normal-Mode Splitting in Cavity Optomechanics
• Cavity Nonlinear Optics at Low Photon Numbers from Collective Atomic Motion
• Superconducting Qubit Storage and Entanglement with Nanomechanical Resonators
• Ion Trap in a Semiconductor Chip
• Dynamical Backaction of Microwave Fields on a Nanomechanical Oscillator
• Bose-Einstein condensate coupled to a nanomechanical resonator on an atom chip
• Coupled ion - nanomechanical systems
• Ground state cooling of mechanical resonators
• Using a qubit to measure photon number statistics of a driven, thermal oscillator
• Quantum-Limited Position Detection and Amplification: A Linear Response Perspective
• Dynamics of the spin-boson model with a structured environment
• Quantum nano-electromechanics with electrons, quasiparticles and Cooper pairs: effective bath descriptions and strong feedback effects
• Probing tiny motions of nanomechanical resonators: classical or quantum mechanical?
• A Quantum Non-demolition measurement of Fock states of mesoscopic mechanical oscillators
• Passive Cooling of a Micromechanical Oscillator with a Resonant Electric Circuit
• Intrinsic noise properties of atomic point contact displacement detectors
• Schroedinger Cat States of a Nanomechanical Resonator
• High fidelity measurement and quantum feedback control in circuit QED
• Cooling a Micromechanical Beam by Coupling it to a Transmission Line
• The spin-boson model with a structured environment: A comparison of approaches
• Self-cooling of a movable mirror to the ground state using radiation pressure
• Lower limit on the achievable temperature in resonator-based sideband cooling
• Engineering Quantum States of a Nano-Resonator via a Simple Auxiliary System
• Measurement of energy eigenstates by a slow detector
• Controllability of the coupled spin-half harmonic oscillator system
• Back-action noise in strongly interacting systems: the dc SQUID and the interacting quantum point-contact
• Quantum teleportation between nanomechanical modes

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