Not quite free shortcuts to adiabaticity
arXiv:1807.00926 · doi:10.1103/PhysRevA.98.032107
Abstract
Given the increasing use of shotcuts to adiabaticity (STA) to optimize power and efficiency of quantum heat engines, it becomes a relevant question if there are any theoretical limits to their application. We argue that quantum fluctuations in the control device which implements the shortcut deflect the system from the adiabatic path. This not only induces transitions to unwanted final states but also changes the system energy, so that using the STA has a definite cost in terms of conventional work definitions. This may be the ultimate cost of an adiabatic shortcut, in the sense that it is present even for a frictionless, zero temperature driving. We estimate the effect, to lowest nontrivial order in the derivatives of the time-dependent frequency, on a parametric harmonic oscillator, thus providing a consistency condition for the validity of the classical approximation.
arXiv comment16 pages; accepted for publication in Phys Rev A
References in corpus (30)
- Colloquium. Quantum Fluctuation Relations: Foundations and Applications
- Fast optimal frictionless atom cooling in harmonic traps
- Shortcuts to adiabaticity
- Shortcut to adiabatic passage in two and three level atoms
- Quantum speed limits: from Heisenberg's uncertainty principle to optimal quantum control
- Single ion heat engine with maximum efficiency at maximum power
- Ion-trap measurements of electric-field noise near surfaces
- Quantum limits to dynamical evolution
- The quantum harmonic Otto cycle
- More bang for your buck: Towards super-adiabatic quantum engines
- Trade-off between speed and cost in shortcuts to adiabaticity
- A derivation (and quantification) of the third law of thermodynamics
- Work measurement as a generalized quantum measurement
- Universal Work Fluctuations during Shortcuts To Adiabaticity by Counterdiabatic Driving
- Generating shortcuts to adiabaticity in quantum and classical dynamics
- Scaling-up quantum heat engines efficiently via shortcuts to adiabaticity
- Boosting work characteristics and overall heat engine performance via shortcuts to adiabaticity: quantum and classical systems
- Transient energy excitation in shortcuts to adiabaticity for the time dependent harmonic oscillator
- Superadiabatic quantum friction suppression in finite-time thermodynamics
- Cost of counterdiabatic driving and work output
- Using a quantum work meter to test non-equilibrium fluctuation theorems
- Quantum bath refrigeration towards absolute zero: unattainability principle challenged
- Energy consumption for Shortcuts To Adiabaticity
- Third Law of Thermodynamics as a Single Inequality
- Experimental Implementation of Generalized Transitionless Quantum Driving
- Shortcuts to adiabaticity in Fermi gases
- Evaluation of heating effects on atoms trapped in an optical trap
- Fast shuttling of a particle under weak spring-constant noise of the moving trap
- Friction-free quantum machines
- How much can we cool a quantum oscillator? A useful analogy to understand laser cooling as a thermodynamical process
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- Superadiabatic thermalization of a quantum oscillator by engineered dephasing
- Exploiting Landscape Geometry to Enhance Quantum Optimal Control
- Vanishing efficiency of speeded-up quantum Otto engines
- A finite-time quantum Otto engine with tunnel coupled one-dimensional Bose gases
- Power and Efficiency of a Thermal Engine with a Coherent Bath
- Taming quantum systems: A tutorial for using shortcuts-to-adiabaticity, quantum optimal control, and reinforcement learning
- Finite-time two-spin quantum Otto engines: shortcuts to adiabaticity vs. irreversibility
- Work exchange, geometric magnetization and fluctuation-dissipation relations in a quantum dot under adiabatic magnetoelectric driving
- Quantum Parametric Oscillator Heat Engines in Squeezed Thermal Baths: Foundational Theoretical Issues
- A shortcut to adiabaticity in a cavity with a moving mirror
- Adiabatic Shortcuts Completion in Quantum Field Theory: Annihilation of Created Particles
- Quantum work statistics of controlled evolutions
- Out-of-equilibrium quantum thermochemical engine with one-dimensional Bose gas
- Fast adiabatic control of an optomechanical cavity
- Shortcut-to-adiabaticity for coupled harmonic oscillators
- Environment-Assisted Shortcuts to Adiabaticity
- Classical dissipative cost of quantum control
- The importance of being measurement