Shortcuts to adiabaticity: suppression of pair production in driven Dirac dynamics

DOI10.1088/1367-2630/18/1/012001zbMath1457.82209arXiv1511.00709OpenAlexW3104935310WikidataQ58022347 ScholiaQ58022347MaRDI QIDQ5854909

Sebastian Deffner

Publication date: 12 March 2021

Published in: New Journal of Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1511.00709

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Quantum dynamics and nonequilibrium statistical mechanics (general) (82C10)

Related Items (4)

Shortcut Scheme for One‐Step Implementation of a Three‐Qubit Nonadiabatic Holonomic Gate ⋮ Quantum speed limits: from Heisenberg’s uncertainty principle to optimal quantum control ⋮ Shortcuts to adiabaticity using flow fields ⋮ Generalized shortcuts to adiabaticity and enhanced robustness against decoherence

Cites Work

• On adiabatic pair creation
• Adiabatic theorem and spectral concentration. I: Arbitrary order spectral concentration for the Stark effect in atomic physics
• Bound states by a pseudoscalar Coulomb potential in one-plus-one dimensions
• On the adiabatic limit for Dirac particles in external fields
• Optimal shortcuts to adiabaticity for a quantum piston
• The \((1+1)\) dimensional Dirac equation with pseudoscalar potentials: path integral treatment
• The (1+1)-dimensional Dirac equation with pseudoscalar potentials: quasi-classical approximation
• Transitionless quantum driving
• On the adiabatic theorem of quantum mechanics
• Fast-forward of adiabatic dynamics in quantum mechanics
• Fast transport of Bose–Einstein condensates

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