Skip to content

Quantum reference frames and their applications to thermodynamics

Research output: Contribution to journalArticle

Standard

Quantum reference frames and their applications to thermodynamics. / Popescu, Sandu; Sainz, Ana Belen; Short, Tony; Winter, Andreas.

In: Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, Vol. 376, No. 2123, 20180111, 13.07.2018.

Research output: Contribution to journalArticle

Harvard

Popescu, S, Sainz, AB, Short, T & Winter, A 2018, 'Quantum reference frames and their applications to thermodynamics' Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, vol. 376, no. 2123, 20180111. https://doi.org/10.1098/rsta.2018.0111

APA

Popescu, S., Sainz, A. B., Short, T., & Winter, A. (2018). Quantum reference frames and their applications to thermodynamics. Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, 376(2123), [20180111]. https://doi.org/10.1098/rsta.2018.0111

Vancouver

Popescu S, Sainz AB, Short T, Winter A. Quantum reference frames and their applications to thermodynamics. Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences. 2018 Jul 13;376(2123). 20180111. https://doi.org/10.1098/rsta.2018.0111

Author

Popescu, Sandu ; Sainz, Ana Belen ; Short, Tony ; Winter, Andreas. / Quantum reference frames and their applications to thermodynamics. In: Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences. 2018 ; Vol. 376, No. 2123.

Bibtex

@article{ddbdb5aaa51e4569a5c7cb8b18ed97f1,
title = "Quantum reference frames and their applications to thermodynamics",
abstract = "We construct a quantum reference frame, which can be used to approximately implement arbitrary unitary transformations on a system in the presence of any number of extensive conserved quantities, by absorbing any back action provided by the conservation laws. Thus, the reference frame at the same time acts as a battery for the conserved quantities. Our construction features a physically intuitive, clear and implementation-friendly realization. Indeed, the reference system is composed of the same types of subsystems as the original system and is finite for any desired accuracy. In addition, the interaction with the reference frame can be broken down into two-body terms coupling the system to one of the reference frame subsystems at a time. We apply this construction to quantum thermodynamic set-ups with multiple, possibly non-commuting conserved quantities, which allows for the definition of explicit batteries in such cases. This article is part of a discussion meeting issue 'Foundations of quantum mechanics and their impact on contemporary society'.",
keywords = "Conservation laws, Quantum thermodynamics, Reference frames",
author = "Sandu Popescu and Sainz, {Ana Belen} and Tony Short and Andreas Winter",
year = "2018",
month = "7",
day = "13",
doi = "10.1098/rsta.2018.0111",
language = "English",
volume = "376",
journal = "Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences",
issn = "1364-503X",
publisher = "The Royal Society",
number = "2123",

}

RIS - suitable for import to EndNote

TY - JOUR

T1 - Quantum reference frames and their applications to thermodynamics

AU - Popescu, Sandu

AU - Sainz, Ana Belen

AU - Short, Tony

AU - Winter, Andreas

PY - 2018/7/13

Y1 - 2018/7/13

N2 - We construct a quantum reference frame, which can be used to approximately implement arbitrary unitary transformations on a system in the presence of any number of extensive conserved quantities, by absorbing any back action provided by the conservation laws. Thus, the reference frame at the same time acts as a battery for the conserved quantities. Our construction features a physically intuitive, clear and implementation-friendly realization. Indeed, the reference system is composed of the same types of subsystems as the original system and is finite for any desired accuracy. In addition, the interaction with the reference frame can be broken down into two-body terms coupling the system to one of the reference frame subsystems at a time. We apply this construction to quantum thermodynamic set-ups with multiple, possibly non-commuting conserved quantities, which allows for the definition of explicit batteries in such cases. This article is part of a discussion meeting issue 'Foundations of quantum mechanics and their impact on contemporary society'.

AB - We construct a quantum reference frame, which can be used to approximately implement arbitrary unitary transformations on a system in the presence of any number of extensive conserved quantities, by absorbing any back action provided by the conservation laws. Thus, the reference frame at the same time acts as a battery for the conserved quantities. Our construction features a physically intuitive, clear and implementation-friendly realization. Indeed, the reference system is composed of the same types of subsystems as the original system and is finite for any desired accuracy. In addition, the interaction with the reference frame can be broken down into two-body terms coupling the system to one of the reference frame subsystems at a time. We apply this construction to quantum thermodynamic set-ups with multiple, possibly non-commuting conserved quantities, which allows for the definition of explicit batteries in such cases. This article is part of a discussion meeting issue 'Foundations of quantum mechanics and their impact on contemporary society'.

KW - Conservation laws

KW - Quantum thermodynamics

KW - Reference frames

UR - http://www.scopus.com/inward/record.url?scp=85048784007&partnerID=8YFLogxK

U2 - 10.1098/rsta.2018.0111

DO - 10.1098/rsta.2018.0111

M3 - Article

VL - 376

JO - Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences

T2 - Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences

JF - Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences

SN - 1364-503X

IS - 2123

M1 - 20180111

ER -