Shortcuts to adiabaticity for an interacting Bose–Einstein condensate via exact solutions of the generalized Ermakov equation

DOI10.1063/5.0004309zbMath1437.82014arXiv2002.03632OpenAlexW3102284330WikidataQ96119881 ScholiaQ96119881MaRDI QIDQ3303877

Tang-You Huang, Xi Chen, Boris A. Malomed

Publication date: 4 August 2020

Published in: Chaos: An Interdisciplinary Journal of Nonlinear Science (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2002.03632

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) Quantum dynamics and nonequilibrium statistical mechanics (general) (82C10)

Related Items (2)

On mKdV and associated classes of moving boundary problems: reciprocal connections ⋮ On the optimal control problems with characteristic time control constraints

Cites Work

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• On modulated coupled systems. Canonical reduction via reciprocal transformations
• Transitionless quantum driving
• Ermakov systems, nonlinear superposition, and solutions of nonlinear equations of motion
• Scaling approach to quantum non-equilibrium dynamics of many-body systems

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