Not-quite-free shortcuts to adiabaticity

Given the increasing use of shortcuts to adiabaticity (STA) to optimize the power and efficiency of quantum heat engines, it becomes a relevant question if there are any theoretical limits to their application. We argue that quantum fluctuations in the control device which implements the shortcut de...

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Autor principal: Calzetta, E.
Formato: JOUR
Materias:
Parametric oscillators
Quantum electronics
Classical approximation
Consistency conditions
Harmonic oscillators
Quantum fluctuation
Quantum heat engines
Theoretical limits
Time dependent frequency
Zero temperatures
Heat engines
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_24699926_v98_n3_p_Calzetta
Aporte de:
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
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spelling todo:paper_24699926_v98_n3_p_Calzetta2023-10-03T16:41:40Z Not-quite-free shortcuts to adiabaticity Calzetta, E. Parametric oscillators Quantum electronics Classical approximation Consistency conditions Harmonic oscillators Quantum fluctuation Quantum heat engines Theoretical limits Time dependent frequency Zero temperatures Heat engines Given the increasing use of shortcuts to adiabaticity (STA) to optimize the power and efficiency of quantum heat engines, it becomes a relevant question if there are any theoretical limits to their application. We argue that quantum fluctuations in the control device which implements the shortcut deflect the system from the adiabatic path. This not only induces transitions to unwanted final states but also changes the system energy, so that using the STA has a definite cost in terms of conventional work definitions. This may be the ultimate cost of an adiabatic shortcut, in the sense that it is present even for a frictionless, zero-temperature driving. We estimate the effect, to lowest nontrivial order in the derivatives of the time-dependent frequency, on a parametric harmonic oscillator, thus providing a consistency condition for the validity of the classical approximation. © 2018 American Physical Society. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_24699926_v98_n3_p_Calzetta
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
topic Parametric oscillators
Quantum electronics
Classical approximation
Consistency conditions
Harmonic oscillators
Quantum fluctuation
Quantum heat engines
Theoretical limits
Time dependent frequency
Zero temperatures
Heat engines
spellingShingle Parametric oscillators
Quantum electronics
Classical approximation
Consistency conditions
Harmonic oscillators
Quantum fluctuation
Quantum heat engines
Theoretical limits
Time dependent frequency
Zero temperatures
Heat engines
Calzetta, E.
Not-quite-free shortcuts to adiabaticity
topic_facet Parametric oscillators
Quantum electronics
Classical approximation
Consistency conditions
Harmonic oscillators
Quantum fluctuation
Quantum heat engines
Theoretical limits
Time dependent frequency
Zero temperatures
Heat engines
description Given the increasing use of shortcuts to adiabaticity (STA) to optimize the power and efficiency of quantum heat engines, it becomes a relevant question if there are any theoretical limits to their application. We argue that quantum fluctuations in the control device which implements the shortcut deflect the system from the adiabatic path. This not only induces transitions to unwanted final states but also changes the system energy, so that using the STA has a definite cost in terms of conventional work definitions. This may be the ultimate cost of an adiabatic shortcut, in the sense that it is present even for a frictionless, zero-temperature driving. We estimate the effect, to lowest nontrivial order in the derivatives of the time-dependent frequency, on a parametric harmonic oscillator, thus providing a consistency condition for the validity of the classical approximation. © 2018 American Physical Society.
format JOUR
author Calzetta, E.
author_facet Calzetta, E.
author_sort Calzetta, E.
title Not-quite-free shortcuts to adiabaticity
title_short Not-quite-free shortcuts to adiabaticity
title_full Not-quite-free shortcuts to adiabaticity
title_fullStr Not-quite-free shortcuts to adiabaticity
title_full_unstemmed Not-quite-free shortcuts to adiabaticity
title_sort not-quite-free shortcuts to adiabaticity
url http://hdl.handle.net/20.500.12110/paper_24699926_v98_n3_p_Calzetta
work_keys_str_mv AT calzettae notquitefreeshortcutstoadiabaticity
_version_ 1782029456706109440

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