Fast ground-state cooling of mechanical resonator with time-dependent optical cavities
arXiv:1008.1630 · doi:10.1103/PhysRevA.83.043804
Abstract
We propose a feasible scheme to cool down a mechanical resonator (MR) in a three-mirror cavity optomechanical system with controllable external optical drives. Under the Born-Oppenheimer (BO) approximation, the whole dynamics of the mechanical resonator and cavities is reduced to that of a time-dependent harmonic oscillator, whose effective frequency can be controlled through the optical driving fields. The fast cooling of the MR can be realized by controlling the amplitude of the optical drives. Significantly, we further show that the ground-state cooling may be achieved via the three-mirror cavity optomechanical system without the resolved sideband condition.
Some references including our previous works on cooling of mechanical resonators are added, and some typos are corrected in this new version. Comments are welcome
References in corpus (27)
- 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
- Cavity Optomechanics
- Fast optimal frictionless atom cooling in harmonic traps
- Resolved Sideband Cooling of a Micromechanical Oscillator
- Entangling macroscopic oscillators exploiting radiation pressure
- Cooling a nanomechanical resonator with quantum back-action
- Preparation and Detection of a Mechanical Resonator Near the Ground State of Motion
- Strong and Tunable Nonlinear Optomechanical Coupling in a Low-Loss System
- Demonstration of an ultracold micro-optomechanical oscillator in a cryogenic cavity
- Optomechanical Cooling of a Macroscopic Oscillator by Homodyne Feedback
- Establishing EPR-channels between Nanomechanics and Atomic Ensembles
- Coupled ion - nanomechanical systems
- Fast optimal transition between two equilibrium states
- Trapping and Cooling a mirror to its quantum mechanical ground state
- Scheme for teleportation of quantum states onto a mechanical resonator
- Transitionless quantum drivings for the harmonic oscillator
- Upper Limits on a Stochastic Background of Gravitational Waves
- Probing tiny motions of nanomechanical resonators: classical or quantum mechanical?
- Cooling of Nanomechanical Resonator Based on Periodical Coupling to Cooper Pair Box
- Quantum Theory of Transmission Line Resonator-Assisted Cooling of a Micromechanical Resonator
- Analogue of Cavity QED for Coupling between Spin and Nanomechanical Resonator
- Cooling a micro-mechanical resonator by quantum back-action from a noisy qubit
Cited by in corpus (54)
- Shortcuts to adiabaticity: concepts, methods, and applications
- Shortcuts to adiabaticity
- Lewis-Riesenfeld invariants and transitionless tracking algorithm
- Optimally robust shortcuts to population inversion in two-level quantum systems
- Dynamic dissipative cooling of a mechanical oscillator in strong-coupling optomechanics
- Fast population transfer engineering of three-level systems
- Electromagnetially-induced-transparency-like ground-state cooling in a double-cavity optomechanical system
- Optimal trajectories for efficient atomic transport without final excitation
- Shortcuts to adiabatic passage for population transfer and maximum entanglement creation between two atoms in a cavity
- Shortcuts to adiabaticity for non-Hermitian systems
- Review of cavity optomechanical cooling
- Simultaneous cooling of coupled mechanical resonators in cavity optomechanics
- Hamiltonian engineering via invariants and dynamical algebra
- Lyapunov-based quantum synchronization in designed optomechanical systems
- Fast transitionless expansions of cold atoms in optical Gaussian beam traps
- Quantum synchronization and quantum state sharing in irregular complex network
- Optomechanical cooling beyond the quantum backaction limit with frequency modulation
- Nondeterminstic ultrafast ground state cooling of a mechanical resonator
- Shortcuts to adiabatic passage for fast generation of Greenberger-Horne-Zeilinger states by transitionless quantum driving
- Cooling of a mirror in cavity optomechanics with a chirped pulse
- Analytical approach to swift nonleaky entangling gates in superconducting qubits
- Optimal limits of cavity optomechanical cooling in the strong coupling regime
- Energy localization enhanced ground-state cooling of mechanical resonator from room temperature in optomechanics using a gain cavity
- Invariant-based inverse engineering for fluctuation transfer between membranes in an optomechanical cavity system
- Efficient Generation of the Triplet Bell State Between Coupled Spins Using Transitionless Quantum Driving and Optimal Control
- Finite-time Landau-Zener processes and counter-diabatic driving in open systems: beyond Born, Markov and Rotating-wave approximations
- Fast optical cooling of nanomechanical cantilever with the dynamical Zeeman effect
- Auxiliary-cavity-assisted ground-state cooling of optically levitated nanosphere in the unresolved-sideband regime
- Optomechanically induced amplification and perfect transparency in double-cavity optomechanics
- Breaking optomechanical cooling limit by two drive fields on a membrane-in-middle system
- Transitionless-based shortcuts for the fast and robust generation of W states
- Cooling mechanical resonators to quantum ground state from room temperature
- Maximizing entanglement in bosonic Josephson junctions using shortcuts to adiabaticity and optimal control
- Optomechanically-induced-transparency cooling of massive mechanical resonators to the quantum ground state
- Transient particle energies in shortcuts to adiabatic expansions of harmonic traps
- Fast and stable manipulation of a charged particle in a Penning trap
- Inverse engineering rigorous adiabatic Hamiltonian for non-Hermitian system
- Fast transitionless expansions of Gaussian anharmonic traps for cold atoms: bang-singular-bang control
- Cooling a nanomechanical resonator by a triple quantum dot
- Topological phase induced by distinguishing parameter regimes in cavity optomechanical system with multiple mechanical resonators
- Connection between inverse engineering and optimal control in shortcuts to adiabaticity
- Accelerated ground-state cooling of an optomechanical resonator via shortcuts to adiabaticity
- Shortcuts to adiabaticity for an interacting Bose-Einstein condensate via exact solutions of the generalized Ermakov equation
- Cooling a charged mechanical resonator with time-dependent bias gate voltages
- Fast Frictionless Expansion of an Optical Lattice
- Complex dynamics of nano-mechanical membrane in cavity optomechanics
- Highly efficient cooling of mechanical resonator with square pulse drives
- Ground state cooling in a hybrid optomechanical system with a three-level atomic ensemble
- Double-passage ground-state cooling induced by quantum interference in the hybrid optomechanical system
- Continuous feedback protocols for cooling and trapping a quantum harmonic oscillator
- Time-Optimal Quantum Driving by Variational Circuit Learning
- Fast optical cooling of a nanomechanical cantilever by a dynamical Stark-shift gate
- Counterdiabatic driving for pseudo- and antipseudo- Hermitian systems
- Accelerating an adiabatic process by nonlinear sweeping