# Shortcuts to adiabaticity using flow fields

@article{Patra2017ShortcutsTA, title={Shortcuts to adiabaticity using flow fields}, author={Ayoti Patra and Christopher Jarzynski}, journal={New Journal of Physics}, year={2017}, volume={19} }

A shortcut to adiabaticity is a recipe for generating adiabatic evolution at an arbitrary pace. Shortcuts have been developed for quantum, classical and (most recently) stochastic dynamics. A shortcut might involve a counterdiabatic (CD) Hamiltonian that causes a system to follow the adiabatic evolution at all times, or it might utilize a fast-forward (FF) potential, which returns the system to the adiabatic path at the end of the process. We develop a general framework for constructing…

## 41 Citations

Bridging Quantum, Classical and Stochastic Shortcuts to Adiabaticity

- Physics
- 2017

Title of dissertation: BRIDGING QUANTUM, CLASSICAL AND STOCHASTIC SHORTCUTS TO ADIABATICITY. Ayoti Patra, Doctor of Philosophy, 2017 Dissertation directed by: Professor Christopher Jarzynski…

Shortcuts to adiabaticity assisted by counterdiabatic Born–Oppenheimer dynamics

- PhysicsNew Journal of Physics
- 2018

Shortcuts to adiabaticity (STA) provide control protocols to guide the dynamics of a quantum system through an adiabatic reference trajectory in an arbitrary prescheduled time. Designing STA proves…

Time-Rescaling of Dirac Dynamics: Shortcuts to Adiabaticity in Ion Traps and Weyl Semimetals

- PhysicsEntropy
- 2021

This work shows how time-rescaling can be applied to Dirac dynamics, and it is shown that all time-dependence can be absorbed into the effective potentials through a judiciously chosen unitary transformation.

Counter-diabatic driving in the classical $\beta$-Fermi-Pasta-Ulam-Tsingou chain

- Physics
- 2021

Shortcuts to adiabaticity (STAs) have been used to make rapid changes to a system while eliminating or minimizing excitations in the system’s state. In quantum systems, these shortcuts allow us to…

Shortcuts to adiabaticity in Fermi gases

- PhysicsNew Journal of Physics
- 2018

Shortcuts to adiabaticity (STA) provide an alternative to adiabatic protocols to guide the dynamics of the system of interest without the requirement of slow driving. We report the controlled speedup…

Environment-Assisted Shortcuts to Adiabaticity

- Mathematics, PhysicsEntropy
- 2021

This work constructs the unique form of the driving on the environment that enables the system to evolve through the adiabatic manifold at all times, solely by controlling the environment, for a family of composite states of arbitrary dimension.

Many-body quantum heat engines with shortcuts to adiabaticity

- PhysicsPhysical Review Research
- 2020

Quantum heat engines are modeled by thermodynamic cycles with quantum-mechanical working media. Since high engine efficiencies require adiabaticity, a major challenge is to yield a nonvanishing power…

Focus on Shortcuts to Adiabaticity

- PhysicsNew Journal of Physics
- 2019

Recent developments emphasizing advances reported in this focus issue are summarized while providing an outlook with open problems and prospects for future research are provided.

Geometric Speed Limit of Accessible Many-Body State Preparation

- Mathematics, PhysicsPhysical Review X
- 2019

We analyze state preparation within a restricted space of local control parameters between adiabatically connected states of control Hamiltonians. We formulate a conjecture that the time integral of…

Shortcuts to adiabaticity in waveguide couplers–theory and implementation

- PhysicsAdvances in Physics: X
- 2021

ABSTRACT Adiabatic processes are ubiquitous in physics and engineering. A drawback of such processes is that they tend to be slow, either in time–for atomic systems, for example–or in space–for…

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