Driving rapidly while remaining in control: classical shortcuts from Hamiltonian to stochastic dynamics
Stochastic thermodynamics lays down a broad framework to revisit the venerable concepts
of heat, work and entropy production for individual stochastic trajectories of mesoscopic …
of heat, work and entropy production for individual stochastic trajectories of mesoscopic …
Classical and quantum shortcuts to adiabaticity for scale-invariant driving
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 …
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 …
counterdiabatic Hamiltonian to stifle nonadiabatic transitions. Here this shortcut to …
Shortcuts to adiabaticity using flow fields
Ashortcut to adiabaticityis a recipe for generating adiabatic evolution at an arbitrary pace.
Shortcuts have been developed for quantum, classical and (most recently) stochastic …
Shortcuts have been developed for quantum, classical and (most recently) stochastic …
Boundary conditions for the quantum Hall effect
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 …
using boundary conditions to investigate the influence of finite-size effects on the Hall …
Non-hermitian quantum fermi accelerator
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 …
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 …
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
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 …
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
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 …
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
Recent experimental realizations of uniform confining potentials for ultracold atoms make it
possible to create quantum acoustic resonators and explore nonequilibrium dynamics of …
possible to create quantum acoustic resonators and explore nonequilibrium dynamics of …