Ultrafast Optimal Sideband Cooling under Non-Markovian Evolution

Abstract

A sideband cooling strategy that incorporates (i) the dynamics induced by structured (non-Markovian) environments in the target and auxiliary systems and (ii) the optimally-time-modulated interaction between them is developed. For the context of cavity optomechanics, when non-Markovian dynamics are considered in the target system, ground state cooling is reached at much faster rates and at much lower phonon occupation number than previously reported. In constrast to similar current strategies, ground state cooling is reached here for coupling-strength rates that are experimentally accesible for the state-of-the-art implementations. After the ultrafast optimal-ground-state-cooling protocol is accomplished, an additional optimal control strategy is considered to maintain the phonon number as closer as possible to the one obtained in the cooling procedure. Contrary to the conventional expectation, when non-Markovian dynamics are considered in the auxiliary system, the efficiency of the cooling protocol is undermined.

References in corpus (13)

• Sideband Cooling Micromechanical Motion to the Quantum Ground State
• Quantum Theory of Cavity-Assisted Sideband Cooling of Mechanical Motion
• Theory of ground state cooling of a mechanical oscillator using dynamical back-action
• Self-cooling of a micro-mirror by radiation pressure
• Ground-state cooling of a micromechanical oscillator: generalized framework for cold damping and cavity-assisted cooling schemes
• Enhanced quantum entanglement in the non-Markovian dynamics of biomolecular excitons
• Optomechanical sideband cooling of a micromechanical oscillator close to the quantum ground state
• Laser noise in cavity-optomechanical cooling and thermometry
• Non-Markovian Dynamics Impact on the Foundations of Statistical Mechanics
• Canonical versus noncanonical equilibration dynamics of open quantum systems
• Quantum Limit for Driven Linear Non-Markovian Open-Quantum-Systems
• Cooling mechanical resonators to quantum ground state from room temperature
• Nonclassical phase-space trajectories for the damped harmonic quantum oscillator

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• Realization and application of parity-time-symmetric oscillators in quantum regime
• Optomechanical quadrature squeezing in the non-Markovian regime
• Quantum Limit for Driven Linear Non-Markovian Open-Quantum-Systems
• Optimal Control of Hybrid Optomechanical Systems for Generating Non-Classical States of Mechanical Motion
• Driving-induced amplification of non-Markovianity in open quantum systems evolution
• Robust optomechanical state transfer under composite phase driving
• Optimal control and selectivity of qubits in contact with a structured environment
• Influence of Non-Markovian Dynamics in Thermal-Equilibrium Uncertainty-Relations
• Optomechanical second-order sidebands and group delays in a spinning resonator with parametric amplifier and non-Markovian effects
• Optical-mechanical cooling of a charged resonator
• Generation of long-living entanglement between two distant three-level atoms in non-Markovian environments
• Optimal control of linear Gaussian quantum systems via quantum learning control
• Geometric phase accumulated in a driven quantum system coupled to an structured environment
• Optimized mechanical quadrature squeezing beyond the 3-dB limit via a gradient-descent algorithm
• General Galilei Covariant Gaussian Maps
• Optimizing measurement-based cooling by reinforcement learning
• An almost deterministic cooling by measurements