Divergences in open quantum systems

Agón, Cesar; Lawrence, Albion

doi:10.1007/jhep04(2018)008

Divergences in open quantum systems

Journal Article · Tue Apr 03 00:00:00 EDT 2018 · Journal of High Energy Physics (Online)

DOI:https://doi.org/10.1007/jhep04(2018)008· OSTI ID:1503319

Agón, Cesar ^[1]; Lawrence, Albion ^[2]

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; Brandeis Univ., Waltham, MA (United States)
Brandeis Univ., Waltham, MA (United States). Martin Fisher School of Physics

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.

View Accepted Manuscript (DOE)

Research Organization:: Brandeis Univ., Waltham, MA (United States)

Sponsoring Organization:: USDOE Office of Science (SC)

Grant/Contract Number:: SC0009987

OSTI ID:: 1503319

Alternate ID(s):: OSTI ID: 22739369

Journal Information:: Journal of High Energy Physics (Online), Journal Name: Journal of High Energy Physics (Online) Journal Issue: 4 Vol. 2018; ISSN 1029-8479

Publisher:: Springer BerlinCopyright Statement

Country of Publication:: United States

Language:: English

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Hot Cosmic Qubits: Late-Time de Sitter Evolution and Critical Slowing Down Kaplanek, Greg; Burgess, C. P. arXiv https://doi.org/10.48550/arxiv.1912.12955	text	January 2019
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