Driving rapidly while remaining in control: classical shortcuts from Hamiltonian to stochastic dynamics

D Guéry-Odelin, C Jarzynski, CA Plata… - Reports on Progress …, 2023 - iopscience.iop.org
Stochastic thermodynamics lays down a broad framework to revisit the venerable concepts
of heat, work and entropy production for individual stochastic trajectories of mesoscopic …

Classical and quantum shortcuts to adiabaticity for scale-invariant driving

S Deffner, C Jarzynski, A del Campo - Physical Review X, 2014 - APS
A shortcut to adiabaticity is a driving protocol that reproduces in a short time the same final
state that would result from an adiabatic, infinitely slow process. A powerful technique to …

Generating shortcuts to adiabaticity in quantum and classical dynamics

C Jarzynski - Physical Review A—Atomic, Molecular, and Optical …, 2013 - APS
Transitionless quantum driving achieves adiabatic evolution in a hurry, using a
counterdiabatic Hamiltonian to stifle nonadiabatic transitions. Here this shortcut to …

Shortcuts to adiabaticity using flow fields

A Patra, C Jarzynski - New Journal of Physics, 2017 - iopscience.iop.org
Ashortcut to adiabaticityis a recipe for generating adiabatic evolution at an arbitrary pace.
Shortcuts have been developed for quantum, classical and (most recently) stochastic …

Boundary conditions for the quantum Hall effect

G Angelone, M Asorey, P Facchi… - Journal of Physics A …, 2023 - iopscience.iop.org
We formulate a self-consistent model of the integer quantum Hall effect on an infinite strip,
using boundary conditions to investigate the influence of finite-size effects on the Hall …

Non-hermitian quantum fermi accelerator

A Fring, T Taira - Physical Review A, 2023 - APS
We exactly solve a quantum Fermi accelerator model consisting of a time-independent non-
Hermitian Hamiltonian with time-dependent Dirichlet boundary conditions. A Hilbert space …

Quantum mechanics on time-varying space domains

RA Van Gorder - Proceedings of the Royal Society A, 2023 - royalsocietypublishing.org
The extension of quantum theory to time-varying space domains is often challenging, since
domain evolution frequently results in non-autonomous and non-adiabatic evolution of …

On global approximate controllability of a quantum particle in a box by moving walls

A Balmaseda, D Lonigro, JM Pérez-Pardo - SIAM Journal on Control and …, 2024 - SIAM
We study a system composed of a free quantum particle trapped in a box whose walls can
change their position. We prove the global approximate controllability of the system: any …

On the Schrödinger equation for time-dependent hamiltonians with a constant form domain

A Balmaseda, D Lonigro, JM Pérez-Pardo - Mathematics, 2022 - mdpi.com
We study two seminal approaches, developed by B. Simon and J. Kisyński, to the well-
posedness of the Schrödinger equation with a time-dependent Hamiltonian. In both cases …

From the moving piston to the dynamical Casimir effect: Explorations with shaken condensates

MH Michael, J Schmiedmayer, E Demler - Physical Review A, 2019 - APS
Recent experimental realizations of uniform confining potentials for ultracold atoms make it
possible to create quantum acoustic resonators and explore nonequilibrium dynamics of …