# Cost of counterdiabatic driving and work output

@article{Zheng2015CostOC, title={Cost of counterdiabatic driving and work output}, author={Yuanjian Zheng and Steve Campbell and Gabriele De Chiara and Dario Poletti}, journal={Physical Review A}, year={2015}, volume={94}, pages={042132} }

Unitary processes allow for the transfer of work to and from Hamiltonian systems. However, to achieve nonzero power for the practical extraction of work, these processes must be performed within a finite time, which inevitably induces excitations in the system. We show that depending on the time scale of the process and the physical realization of the external driving employed, the use of counterdiabatic quantum driving to extract more work is not always effective. We also show that by virtue…

## 56 Citations

### Floquet-Engineering Counterdiabatic Protocols in Quantum Many-Body Systems.

- PhysicsPhysical review letters
- 2019

It is shown how an approximate gauge potential can be systematically built up as a series of nested commutators, remaining well defined in the thermodynamic limit.

### Energetic cost of quantum control protocols

- PhysicsNew Journal of Physics
- 2019

We quantitatively assess the energetic cost of several well-known control protocols that achieve a finite time adiabatic dynamics, namely counterdiabatic and local counterdiabatic driving, optimal…

### Generalized speed and cost rate in transitionless quantum driving

- Physics
- 2018

Transitionless quantum driving, also known as counterdiabatic driving, is a unique shortcut technique to adiabaticity, enabling a fast-forward evolution to the same target quantum states as those in…

### Universal Work Fluctuations During Shortcuts to Adiabaticity by Counterdiabatic Driving.

- PhysicsPhysical review letters
- 2017

A fundamental inequality is derived that relates nonequilibrium work fluctuations to the operation time and quantifies the thermodynamic cost of CD in both critical and noncritical systems.

### Counterdiabatic control in the impulse regime

- PhysicsPhysical Review A
- 2022

Coherent control of complex many-body systems is critical to the development of useful quantum devices. Fast perfect state transfer can be exactly achieved through additional counterdiabatic fields.…

### Not-quite-free shortcuts to adiabaticity

- PhysicsPhysical Review A
- 2018

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…

### Trade-Off Between Speed and Cost in Shortcuts to Adiabaticity.

- PhysicsPhysical review letters
- 2017

The speed with which a quantum system can be driven when employing transitionless quantum driving is studied to establish a rigorous link between this speed, the quantum speed limit, and the (energetic) cost of implementing such a shortcut to adiabaticity.

### Vanishing efficiency of a speeded-up ion-in-Paul-trap Otto engine

- PhysicsEPL (Europhysics Letters)
- 2019

The energy cost of shortcuts to adiabatic expansions or compressions of a harmonic oscillator, the power strokes of a quantum Otto engine, and conditions for which inclusive power of the primary system and exclusive power control system are proportional are found.

### Finite-time two-spin quantum Otto engines: Shortcuts to adiabaticity vs. irreversibility

- PhysicsTURKISH JOURNAL OF PHYSICS
- 2021

: We propose a quantum Otto cycle in a two spin- 1/2 anisotropic XY model in a transverse external magnetic field. We first characterize the parameter regime that the working medium operates as an…

### The invariant-based shortcut to adiabaticity for qubit heat engine operates under quantum Otto cycle

- PhysicsThe European Physical Journal Plus
- 2022

In this paper, we study the role and relevance of the cost for an invariant-based shortcut to adiabaticity enabled qubit heat engine operates in a quantum Otto cycle. We consider a qubit heat engine…

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