Engineered Swift Equilibration for Brownian objects: from underdamped to overdamped dynamics
arXiv:1802.10512 · doi:10.1088/1367-2630/aac875
Abstract
We propose a general framework to study transformations that drive an underdamped Brownian particle in contact with a thermal bath from an equilibrium state to a new one in an arbitrarily short time. To this end, we make use of a time and space-dependent potential, that plays a dual role: confine the particle, and manipulate the system. In the special case of an isothermal compression or decompression of a harmonically trapped particle, we derive explicit protocols that perform this quick transformation, following an inverse engineering method. We focus on the properties of these protocols, which crucially depend on two key dimensionless numbers that characterize the relative values of the three timescales of the problem, associated with friction, oscillations in the confinement and duration of the protocol. In particular, we show that our protocols encompass the known overdamped version of this problem and extend it to any friction for decompression and to a large range of frictions for compression.
References in corpus (41)
- Advances in atomic force microscopy
- Training Schrödinger's cat: quantum optimal control
- A single-atom heat engine
- Fast optimal frictionless atom cooling in harmonic traps
- Shortcuts to adiabaticity
- Shortcuts to adiabaticity by counter-diabatic driving
- High-fidelity quantum driving
- Brownian Carnot engine
- More bang for your buck: Towards super-adiabatic quantum engines
- Classical and quantum shortcuts to adiabaticity for scale-invariant driving
- Accelerated quantum control using superadiabatic dynamics in a solid-state lambda system
- Coherent Diabatic Ion Transport and Separation in a Multi-Zone Trap Array
- Controlling fast transport of cold trapped ions
- Fast atomic transport without vibrational heating
- Fast-forward of adiabatic dynamics in quantum mechanics
- Experimental realization of stimulated Raman shortcut-to-adiabatic passage with cold atoms
- Shortcuts to adiabaticity by counterdiabatic driving for trapped-ion displacement in phase space
- Engineered swift equilibration of a Brownian particle
- Direct Measurement of Kramers Turnover with a Levitated Nanoparticle
- Optimal trajectories for efficient atomic transport without final excitation
- Optimal protocols for minimal work processes in underdamped stochastic thermodynamics
- Scaling-up quantum heat engines efficiently via shortcuts to adiabaticity
- An all-optical nanomechanical heat engine
- Boosting work characteristics and overall heat engine performance via shortcuts to adiabaticity: quantum and classical systems
- Frictionless dynamics of Bose-Einstein condensates under fast trap variations
- Optimal transport of ultracold atoms in the non-adiabatic regime
- Shortcuts to adiabaticity in three-level systems using Lie transforms
- Frictionless atom cooling in harmonic traps: a time-optimal approach
- Time-optimal control of SU(2) quantum operations
- Hamiltonian engineering via invariants and dynamical algebra
- Stochastic heat engine with the consideration of inertial effects and shortcuts to adiabaticity
- Shortcuts to isothermality and nonequilibrium work relations
- Non-equilibrium scale invariance and shortcuts to adiabaticity in a one-dimensional Bose gas
- Exact non-equilibrium solutions of the Boltzmann equation under a time-dependent external force
- Underdamped stochastic heat engine at maximum efficiency
- Shortcuts to adiabaticity in the strongly-coupled regime: nonadiabatic control of a unitary Fermi gas
- Energy flow between two hydrodynamically coupled particles kept at different effective temperatures
- Thermal bath Engineering for Swift Equilibration
- Fast equilibrium switch of a micro mechanical oscillator
- Reverse engineering protocols for controlling spin dynamics
- Shortcut to adiabaticity in a Stern-Gerlach apparatus
Cited by in corpus (26)
- Levitated Nanoparticles for Microscopic Thermodynamics - A Review
- Focus on Shortcuts to Adiabaticity
- Driving rapidly while remaining in control: classical shortcuts from Hamiltonian to stochastic dynamics
- Swift heat transfer by fast-forward driving in open quantum systems
- Speed-ups to isothermality: Enhanced quantum thermal machines through control of the system-bath coupling
- Thermal bath Engineering for Swift Equilibration
- Optimal work in a harmonic trap with bounded stiffness
- Engineered Swift Equilibration of a Brownian Gyrator
- Building an irreversible Carnot-like heat engine with an overdamped harmonic oscillator
- Optimal finite-time Brownian Carnot engine
- Optimising the relaxation route with optimal control
- Kovacs memory effect with an optically levitated nanoparticle
- Taming the time evolution in overdamped systems: shortcuts elaborated from fast-forward and time-reversed protocols
- Adiabatic computing for optimal thermodynamic efficiency of information processing
- Engineered swift equilibration for arbitrary geometries
- Shortcuts to equilibrium with a levitated particle in the underdamped regime
- Equilibrium free energy differences from a linear nonequilibrium equality
- Optimal control of uniformly heated granular fluids in linear response
- Reinforcement Learning Approach to Shortcuts between Thermodynamic States with Extra Constraints
- Shortcuts To Adiabaticity for Lévy processes in harmonic traps
- Optimal control of levitated nanoparticles through finite-stiffness confinement
- Tuning nonthermal distributions to thermal ones in time-dependent Paul traps
- Diffusiophoresis driven colloidal manipulation and shortcuts to adiabaticity
- Inducing and optimizing Markovian Mpemba effect with stochastic reset
- Thermodynamic optimization equalities in weakly driven processes
- Virtual double-well potential for an underdamped oscillator created by a feedback loop