Article
Taming the Time Evolution in Overdamped Systems: Shortcuts Elaborated from Fast-Forward and Time-Reversed Protocols
Author/s | Plata Ramos, Carlos Alberto
Prados Montaño, Antonio Trizac, Emmanuel Guéry Odelin, David |
Department | Universidad de Sevilla. Departamento de Física Atómica, Molecular y Nuclear |
Publication Date | 2021 |
Deposit Date | 2023-01-09 |
Published in |
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Awards | Premio Anual Publicación Científica Destacada de la US. Facultad de Física |
Abstract | Using a reverse-engineering approach on the time-distorted solution in a reference potential, we work out the external driving potential to be applied to a Brownian system in order to slow or accelerate the dynamics, or ... Using a reverse-engineering approach on the time-distorted solution in a reference potential, we work out the external driving potential to be applied to a Brownian system in order to slow or accelerate the dynamics, or even to invert the arrow of time. By welding a direct and time-reversed evolution toward a well chosen common intermediate state, we analytically derive a smooth protocol to connect two arbitrary states in an arbitrarily short amount of time. Not only does the reverse-engineering approach proposed in this Letter contain the current - rather limited - catalog of explicit protocols, but it also provides a systematic strategy to build the connection between arbitrary states with a physically admissible driving. Optimization and further generalizations are also discussed. |
Funding agencies | Agence Nationale de la Recherche. France Ministerio de Ciencia e Innovación (MICIN). España |
Project ID. | ANR-18-CE30-0013
PGC2018-093998-B-I00 |
Citation | Plata Ramos, C.A., Prados Montaño, A., Trizac, E. y Guéry Odelin, D. (2021). Taming the Time Evolution in Overdamped Systems: Shortcuts Elaborated from Fast-Forward and Time-Reversed Protocols. Physical Review Letters, 127 (19), A40. https://doi.org/10.1103/PhysRevLett.127.190605. |
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