Two-stroke optimization scheme for mesoscopic refrigerators

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Two-stroke optimization scheme for mesoscopic refrigerators. / Menczel, Paul; Pyhäranta, Tuomas; Flindt, Christian; Brandner, Kay.

julkaisussa: Physical Review B, Vuosikerta 99, Nro 22, 224306, 21.06.2019, s. 1-16.

Tutkimustuotos: Lehtiartikkeli

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Menczel, Paul ; Pyhäranta, Tuomas ; Flindt, Christian ; Brandner, Kay. / Two-stroke optimization scheme for mesoscopic refrigerators. Julkaisussa: Physical Review B. 2019 ; Vuosikerta 99, Nro 22. Sivut 1-16.

Bibtex - Lataa

@article{0de1f10c87444be4aae1b3c6fbc795ea,
title = "Two-stroke optimization scheme for mesoscopic refrigerators",
abstract = "Refrigerators use a thermodynamic cycle to move thermal energy from a cold reservoir to a hot one. Implementing this operation principle with mesoscopic components has recently emerged as a promising strategy to control heat currents in micro and nanosystems for quantum technological applications. Here we combine concepts from stochastic and quantum thermodynamics with advanced methods of optimal control theory to develop a universal optimization scheme for such small-scale refrigerators. Covering both the classical and the quantum regime, our theoretical framework provides a rigorous procedure to determine the periodic driving protocols that maximize either cooling power or efficiency. As a main technical tool, we decompose the cooling cycle into two strokes, which can be optimized one by one. In the regimes of slow or fast driving, we show how this procedure can be simplified significantly by invoking suitable approximations. To demonstrate the practical viability of our scheme, we determine the exact optimal driving protocols for a quantum microcooler, which can be realized experimentally with current technology. Our work provides a powerful tool to develop optimal design strategies for engineered cooling devices and it creates a versatile framework for theoretical investigations exploring the fundamental performance limits of mesoscopic thermal machines.",
author = "Paul Menczel and Tuomas Pyh{\"a}ranta and Christian Flindt and Kay Brandner",
year = "2019",
month = "6",
day = "21",
doi = "10.1103/PhysRevB.99.224306",
language = "English",
volume = "99",
pages = "1--16",
journal = "Physical Review B (Condensed Matter and Materials Physics)",
issn = "2469-9950",
publisher = "American Physical Society",
number = "22",

}

RIS - Lataa

TY - JOUR

T1 - Two-stroke optimization scheme for mesoscopic refrigerators

AU - Menczel, Paul

AU - Pyhäranta, Tuomas

AU - Flindt, Christian

AU - Brandner, Kay

PY - 2019/6/21

Y1 - 2019/6/21

N2 - Refrigerators use a thermodynamic cycle to move thermal energy from a cold reservoir to a hot one. Implementing this operation principle with mesoscopic components has recently emerged as a promising strategy to control heat currents in micro and nanosystems for quantum technological applications. Here we combine concepts from stochastic and quantum thermodynamics with advanced methods of optimal control theory to develop a universal optimization scheme for such small-scale refrigerators. Covering both the classical and the quantum regime, our theoretical framework provides a rigorous procedure to determine the periodic driving protocols that maximize either cooling power or efficiency. As a main technical tool, we decompose the cooling cycle into two strokes, which can be optimized one by one. In the regimes of slow or fast driving, we show how this procedure can be simplified significantly by invoking suitable approximations. To demonstrate the practical viability of our scheme, we determine the exact optimal driving protocols for a quantum microcooler, which can be realized experimentally with current technology. Our work provides a powerful tool to develop optimal design strategies for engineered cooling devices and it creates a versatile framework for theoretical investigations exploring the fundamental performance limits of mesoscopic thermal machines.

AB - Refrigerators use a thermodynamic cycle to move thermal energy from a cold reservoir to a hot one. Implementing this operation principle with mesoscopic components has recently emerged as a promising strategy to control heat currents in micro and nanosystems for quantum technological applications. Here we combine concepts from stochastic and quantum thermodynamics with advanced methods of optimal control theory to develop a universal optimization scheme for such small-scale refrigerators. Covering both the classical and the quantum regime, our theoretical framework provides a rigorous procedure to determine the periodic driving protocols that maximize either cooling power or efficiency. As a main technical tool, we decompose the cooling cycle into two strokes, which can be optimized one by one. In the regimes of slow or fast driving, we show how this procedure can be simplified significantly by invoking suitable approximations. To demonstrate the practical viability of our scheme, we determine the exact optimal driving protocols for a quantum microcooler, which can be realized experimentally with current technology. Our work provides a powerful tool to develop optimal design strategies for engineered cooling devices and it creates a versatile framework for theoretical investigations exploring the fundamental performance limits of mesoscopic thermal machines.

UR - http://www.scopus.com/inward/record.url?scp=85068591267&partnerID=8YFLogxK

U2 - 10.1103/PhysRevB.99.224306

DO - 10.1103/PhysRevB.99.224306

M3 - Article

VL - 99

SP - 1

EP - 16

JO - Physical Review B (Condensed Matter and Materials Physics)

JF - Physical Review B (Condensed Matter and Materials Physics)

SN - 2469-9950

IS - 22

M1 - 224306

ER -

ID: 35441485