Cooling of mechanical motion with a two level system: the high temperature regime

Abstract

We analyze cooling of a nano-mechanical resonator coupled to a dissipative solid state two level system focusing on the regime of high initial temperatures. We derive an effective Fokker-Planck equation for the mechanical mode which accounts for saturation and other non-linear effects and allows us to study the cooling dynamics of the resonator mode for arbitrary occupation numbers. We find a degrading of the cooling rates and eventually a breakdown of cooling at very high initial temperatures and discuss the dependence of these effects on various system parameters. Our results apply to most solid state systems which have been proposed for cooling a mechanical resonator including quantum dots, superconducting qubits and electronic spin qubits.

References in corpus (21)

• Strong dispersive coupling of a high finesse cavity to a micromechanical membrane
• Optomechanical entanglement between a movable mirror and a cavity field
• Quantum Theory of Cavity-Assisted Sideband Cooling of Mechanical Motion
• Theory of ground state cooling of a mechanical oscillator using dynamical back-action
• Radiation-pressure cooling and optomechanical instability of a micro-mirror
• Ground-state cooling of a micromechanical oscillator: generalized framework for cold damping and cavity-assisted cooling schemes
• Preparation and Detection of a Mechanical Resonator Near the Ground State of Motion
• A quantum spin transducer based on nano electro-mechancial resonator arrays
• Cavity optomechanics with stoichiometric SiN films
• Nuclear Magnetic Resonance Imaging with 90 nm Resolution
• Cavity-Assisted Back Action Cooling of Mechanical Resonators
• Single-qubit lasing and cooling at the Rabi frequency
• Cooling carbon nanotubes to the phononic ground state with constant electron current
• Controllable Coupling between Flux Qubit and Nanomechanical Resonator by Magnetic Field
• Damping of a nanomechanical oscillator strongly coupled to a quantum dot
• Prospects for cooling nanomechanical motion by coupling to a superconducting microwave resonator
• Quantum Theory of Transmission Line Resonator-Assisted Cooling of a Micromechanical Resonator
• Damping and decoherence of a nanomechanical resonator due to a few two level systems
• Ground state cooling of a nanomechanical resonator via a Cooper pair box qubit
• Lower limit on the achievable temperature in resonator-based sideband cooling
• Cooling of a Micro-mechanical Resonator by the Back-action of Lorentz Force

Cited by in corpus (47)

• A single NV defect coupled to a nanomechanical oscillator
• Resolved sidebands in a strain-coupled hybrid spin-oscillator system
• Hybrid circuit cavity quantum electrodynamics with a micromechanical resonator
• Topical Review: Spins and mechanics in diamond
• Phonon Cooling and Lasing with Nitrogen-Vacancy Centers in Diamond
• Single-Spin Magnetomechanics with Levitated Micromagnets
• Phonon number sensitive electromechanics
• Magneto-quantum-nanomechanics: ultra-high Q levitated mechanical oscillators
• Hybrid opto-mechanical systems with nitrogen-vacancy centers
• Spin-Mechanical Scheme with Color Centers in Hexagonal Boron Nitride Membranes
• Single molecule detection of nanomechanical motion
• Orbital state manipulation of a diamond nitrogen-vacancy center using a mechanical resonator
• Quantum State Engineering with Circuit Electromechanical Three-Body Interactions
• Spin-stress and spin-strain coupling in diamond-based hybrid spin oscillator systems
• Spin-mechanics with levitating ferromagnetic particles
• Reversible work extraction in a hybrid opto-mechanical system
• Quantum description of surface-enhanced resonant Raman scattering within a hybrid-optomechanical model
• Measuring mechanical motion with a single spin
• Entanglement between nitrogen vacancy spins in diamond controlled by a nanomechanical resonator
• Synchronizing the dynamics of a single NV spin qubit on a parametrically coupled radio-frequency field through microwave dressing
• Coherent properties of nano-electromechanical systems
• Cooling phonons with phonons: acoustic reservoir-engineering with silicon-vacancy centers in diamond
• Exciton-assisted optomechanics with suspended carbon nanotubes
• Quantum Effects in a Mechanically Modulated Single Photon Emitter
• Spin-phonon interfaces in coupled nanomechanical cantilevers
• Ground-state cooling of a nanomechanical oscillator with N spins
• Multi-phonon interactions between nitrogen-vacancy centers and nanomechanical resonators
• Ground-State Cooling of Levitated Magnets in Low-Frequency Traps
• Generation of coherence in an exactly solvable nonlinear nanomechanical system
• Programmable Quantum Processors based on Spin Qubits with Mechanically-Mediated Interactions and Transport
• Optical drive of macroscopic mechanical motion by a single two-level system
• Universal Continuous Variable Quantum Computation Without Cooling
• Relaxation breakdown and resonant tunneling in ultrastrong-coupling cavity QED
• Continuous variable multipartite vibrational entanglement
• Bistability of a slow mechanical oscillator coupled to a laser-driven two-level system
• Laser cooling of high temperature oscillator by multi-level system
• Heralded entangled coherent states between spatially separated massive resonators
• Hybrid quantum-classical chaotic NEMS
• Heisenberg-Limited Spin-Mechanical Gravimetry
• Sideband ground-state cooling of graphene with Rydberg atoms via vacuum forces
• Scrambling and quantum feedback in a nanomechanical system
• Probing the state of a mechanical oscillator with an ultra-strongly coupled quantum emitter
• Non-Gaussian macroscopic entanglement of motion in a hybrid electromechanical device
• Prospects of cooling a mechanical resonator with a transmon qubit in c-QED setup
• Spin-mechanical thermal machines
• A fluxonium qubit-based hybrid electromechanical system
• Improving Cooling performance of the mechanical resonator with the two-level-system defects