Quantum work in the Bohmian framework

Tutkimustuotos: Lehtiartikkelivertaisarvioitu

Standard

Quantum work in the Bohmian framework. / Sampaio, R.; Suomela, S.; Ala-Nissila, T.; Anders, J.; Philbin, T. G.

julkaisussa: Physical Review A, Vuosikerta 97, Nro 1, 012131, 30.01.2018, s. 1-8.

Tutkimustuotos: Lehtiartikkelivertaisarvioitu

Harvard

Sampaio, R, Suomela, S, Ala-Nissila, T, Anders, J & Philbin, TG 2018, 'Quantum work in the Bohmian framework', Physical Review A, Vuosikerta. 97, Nro 1, 012131, Sivut 1-8. https://doi.org/10.1103/PhysRevA.97.012131

APA

Sampaio, R., Suomela, S., Ala-Nissila, T., Anders, J., & Philbin, T. G. (2018). Quantum work in the Bohmian framework. Physical Review A, 97(1), 1-8. [012131]. https://doi.org/10.1103/PhysRevA.97.012131

Vancouver

Sampaio R, Suomela S, Ala-Nissila T, Anders J, Philbin TG. Quantum work in the Bohmian framework. Physical Review A. 2018 tammi 30;97(1):1-8. 012131. https://doi.org/10.1103/PhysRevA.97.012131

Author

Sampaio, R. ; Suomela, S. ; Ala-Nissila, T. ; Anders, J. ; Philbin, T. G. / Quantum work in the Bohmian framework. Julkaisussa: Physical Review A. 2018 ; Vuosikerta 97, Nro 1. Sivut 1-8.

Bibtex - Lataa

@article{02e8a0491a18491588a9e1448d06e519,
title = "Quantum work in the Bohmian framework",
abstract = "At nonzero temperature classical systems exhibit statistical fluctuations of thermodynamic quantities arising from the variation of the system's initial conditions and its interaction with the environment. The fluctuating work, for example, is characterized by the ensemble of system trajectories in phase space and, by including the probabilities for various trajectories to occur, a work distribution can be constructed. However, without phase-space trajectories, the task of constructing a work probability distribution in the quantum regime has proven elusive. Here we use quantum trajectories in phase space and define fluctuating work as power integrated along the trajectories, in complete analogy to classical statistical physics. The resulting work probability distribution is valid for any quantum evolution, including cases with coherences in the energy basis. We demonstrate the quantum work probability distribution and its properties with an exactly solvable example of a driven quantum harmonic oscillator. An important feature of the work distribution is its dependence on the initial statistical mixture of pure states, which is reflected in higher moments of the work. The proposed approach introduces a fundamentally different perspective on quantum thermodynamics, allowing full thermodynamic characterization of the dynamics of quantum systems, including the measurement process.",
author = "R. Sampaio and S. Suomela and T. Ala-Nissila and J. Anders and Philbin, {T. G.}",
year = "2018",
month = "1",
day = "30",
doi = "10.1103/PhysRevA.97.012131",
language = "English",
volume = "97",
pages = "1--8",
journal = "Physical Review A",
issn = "2469-9926",
publisher = "American Physical Society",
number = "1",

}

RIS - Lataa

TY - JOUR

T1 - Quantum work in the Bohmian framework

AU - Sampaio, R.

AU - Suomela, S.

AU - Ala-Nissila, T.

AU - Anders, J.

AU - Philbin, T. G.

PY - 2018/1/30

Y1 - 2018/1/30

N2 - At nonzero temperature classical systems exhibit statistical fluctuations of thermodynamic quantities arising from the variation of the system's initial conditions and its interaction with the environment. The fluctuating work, for example, is characterized by the ensemble of system trajectories in phase space and, by including the probabilities for various trajectories to occur, a work distribution can be constructed. However, without phase-space trajectories, the task of constructing a work probability distribution in the quantum regime has proven elusive. Here we use quantum trajectories in phase space and define fluctuating work as power integrated along the trajectories, in complete analogy to classical statistical physics. The resulting work probability distribution is valid for any quantum evolution, including cases with coherences in the energy basis. We demonstrate the quantum work probability distribution and its properties with an exactly solvable example of a driven quantum harmonic oscillator. An important feature of the work distribution is its dependence on the initial statistical mixture of pure states, which is reflected in higher moments of the work. The proposed approach introduces a fundamentally different perspective on quantum thermodynamics, allowing full thermodynamic characterization of the dynamics of quantum systems, including the measurement process.

AB - At nonzero temperature classical systems exhibit statistical fluctuations of thermodynamic quantities arising from the variation of the system's initial conditions and its interaction with the environment. The fluctuating work, for example, is characterized by the ensemble of system trajectories in phase space and, by including the probabilities for various trajectories to occur, a work distribution can be constructed. However, without phase-space trajectories, the task of constructing a work probability distribution in the quantum regime has proven elusive. Here we use quantum trajectories in phase space and define fluctuating work as power integrated along the trajectories, in complete analogy to classical statistical physics. The resulting work probability distribution is valid for any quantum evolution, including cases with coherences in the energy basis. We demonstrate the quantum work probability distribution and its properties with an exactly solvable example of a driven quantum harmonic oscillator. An important feature of the work distribution is its dependence on the initial statistical mixture of pure states, which is reflected in higher moments of the work. The proposed approach introduces a fundamentally different perspective on quantum thermodynamics, allowing full thermodynamic characterization of the dynamics of quantum systems, including the measurement process.

UR - http://www.scopus.com/inward/record.url?scp=85041436092&partnerID=8YFLogxK

U2 - 10.1103/PhysRevA.97.012131

DO - 10.1103/PhysRevA.97.012131

M3 - Article

VL - 97

SP - 1

EP - 8

JO - Physical Review A

JF - Physical Review A

SN - 2469-9926

IS - 1

M1 - 012131

ER -

ID: 17691596