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Title: Divergences in open quantum systems

Abstract

Here, we show that for cubic scalar field theories in five and more spacetime dimensions, and for the T = 0 limit of the Caldeira-Leggett model, the quantum master equation for long-wavelength modes initially unentangled from short-distance modes, and at second order in perturbation theory, contains divergences in the non-Hamiltonian terms. These divergences ensure that the equations of motion for expectation values of composite operators closes on expectation values of renormalized operators. Along the way we show that initial “jolt” singularities which occur in the equations of motion for operators linear in the fundamental variables persist for quadratic operators, and are removed if one chooses an initial state projected onto low energies, following the Born-Oppenheimer approximation.

Authors:
 [1];  [2]
  1. Brandeis Univ., Waltham, MA (United States). Martin Fisher School of Physics; Univ. of California, Santa Barbara, CA (United States). Kavli Inst. for Theoretical Physics; State Univ. of New York (SUNY), Plattsburgh, NY (United States). C.N. Yang Inst. for Theoretical Physics
  2. Brandeis Univ., Waltham, MA (United States). Martin Fisher School of Physics
Publication Date:
Research Org.:
Brandeis Univ., Waltham, MA (United States)
Sponsoring Org.:
USDOE Office of Science (SC)
OSTI Identifier:
1503319
Grant/Contract Number:  
SC0009987
Resource Type:
Accepted Manuscript
Journal Name:
Journal of High Energy Physics (Online)
Additional Journal Information:
Journal Name: Journal of High Energy Physics (Online); Journal Volume: 2018; Journal Issue: 4; Journal ID: ISSN 1029-8479
Publisher:
Springer Berlin
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; Effective Field Theories; Quantum Dissipative Systems; Renormalization Group

Citation Formats

Agón, Cesar, and Lawrence, Albion. Divergences in open quantum systems. United States: N. p., 2018. Web. doi:10.1007/jhep04(2018)008.
Agón, Cesar, & Lawrence, Albion. Divergences in open quantum systems. United States. doi:10.1007/jhep04(2018)008.
Agón, Cesar, and Lawrence, Albion. Tue . "Divergences in open quantum systems". United States. doi:10.1007/jhep04(2018)008. https://www.osti.gov/servlets/purl/1503319.
@article{osti_1503319,
title = {Divergences in open quantum systems},
author = {Agón, Cesar and Lawrence, Albion},
abstractNote = {Here, we show that for cubic scalar field theories in five and more spacetime dimensions, and for the T = 0 limit of the Caldeira-Leggett model, the quantum master equation for long-wavelength modes initially unentangled from short-distance modes, and at second order in perturbation theory, contains divergences in the non-Hamiltonian terms. These divergences ensure that the equations of motion for expectation values of composite operators closes on expectation values of renormalized operators. Along the way we show that initial “jolt” singularities which occur in the equations of motion for operators linear in the fundamental variables persist for quadratic operators, and are removed if one chooses an initial state projected onto low energies, following the Born-Oppenheimer approximation.},
doi = {10.1007/jhep04(2018)008},
journal = {Journal of High Energy Physics (Online)},
number = 4,
volume = 2018,
place = {United States},
year = {2018},
month = {4}
}

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    Works referencing / citing this record:

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    journal, December 1972


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    journal, May 1953


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    journal, November 2002


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    journal, August 2014


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    journal, July 2012


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    journal, September 1952


    Ensemble Method in the Theory of Irreversibility
    journal, November 1960

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    • The Journal of Chemical Physics, Vol. 33, Issue 5
    • DOI: 10.1063/1.1731409

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    • Caldeira, A. O.; Leggett, A. J.
    • Physica A: Statistical Mechanics and its Applications, Vol. 121, Issue 3
    • DOI: 10.1016/0378-4371(83)90013-4