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- W1571330463 abstract "Inspired by holographic Wilsonian renormalization, we consider coarse graining a quantum system divided between short-distance and long-distance degrees of freedom (d.o.f.), coupled via the Hamiltonian. Observations using purely long-distance observables are described by the reduced density matrix that arises from tracing out the short-distance d.o.f. The dynamics of this density matrix is non-Hamiltonian and nonlocal in time, on the order of some short time scale. We describe this dynamics in a model system with a simple hierarchy of energy gaps $mathrm{ensuremath{Delta}}{E}_{mathrm{UV}}>mathrm{ensuremath{Delta}}{E}_{mathrm{IR}}$, in which the coupling between high- and low-energy d.o.f. is treated to second order in perturbation theory. We then describe the equations of motion under suitable time averaging, reflecting the limited time resolution of actual experiments, and find an expansion of the master equation in powers of $mathrm{ensuremath{Delta}}{E}_{mathrm{IR}}/mathrm{ensuremath{Delta}}{E}_{mathrm{UV}}$, after the fashion of effective field theory. The failure of the system to be Hamiltonian or even Markovian appears at higher orders in this ratio. We compute the evolution of the density matrix in three specific examples: coupled spins, linearly coupled simple harmonic oscillators, and an interacting scalar quantum field theory. Finally, we argue that the logarithm of the Feynman-Vernon influence functional is the correct analog of the Wilsonian effective action for this problem." @default.
- W1571330463 created "2016-06-24" @default.
- W1571330463 creator A5022321055 @default.
- W1571330463 creator A5041631676 @default.
- W1571330463 creator A5077308967 @default.
- W1571330463 creator A5087496784 @default.
- W1571330463 date "2018-07-26" @default.
- W1571330463 modified "2023-10-16" @default.
- W1571330463 title "Coarse grained quantum dynamics" @default.
- W1571330463 cites W1578322733 @default.
- W1571330463 cites W1600506196 @default.
- W1571330463 cites W1814427056 @default.
- W1571330463 cites W1967224453 @default.
- W1571330463 cites W1972356191 @default.
- W1571330463 cites W1973409205 @default.
- W1571330463 cites W1987881172 @default.
- W1571330463 cites W1995318398 @default.
- W1571330463 cites W2002060759 @default.
- W1571330463 cites W2003558381 @default.
- W1571330463 cites W2008791564 @default.
- W1571330463 cites W2009902266 @default.
- W1571330463 cites W2011767664 @default.
- W1571330463 cites W2015263507 @default.
- W1571330463 cites W2015683881 @default.
- W1571330463 cites W2025744050 @default.
- W1571330463 cites W2034251480 @default.
- W1571330463 cites W2034493186 @default.
- W1571330463 cites W2038293483 @default.
- W1571330463 cites W2039051430 @default.
- W1571330463 cites W2039585585 @default.
- W1571330463 cites W2041132213 @default.
- W1571330463 cites W2042537950 @default.
- W1571330463 cites W2043963426 @default.
- W1571330463 cites W2048563620 @default.
- W1571330463 cites W2052810501 @default.
- W1571330463 cites W2057396825 @default.
- W1571330463 cites W2058432278 @default.
- W1571330463 cites W2060897110 @default.
- W1571330463 cites W2062023482 @default.
- W1571330463 cites W2077812560 @default.
- W1571330463 cites W2081112065 @default.
- W1571330463 cites W2083590256 @default.
- W1571330463 cites W2084333107 @default.
- W1571330463 cites W2086612234 @default.
- W1571330463 cites W2096776205 @default.
- W1571330463 cites W2097358617 @default.
- W1571330463 cites W2097780038 @default.
- W1571330463 cites W2099204364 @default.
- W1571330463 cites W2102078794 @default.
- W1571330463 cites W2110023503 @default.
- W1571330463 cites W2110283120 @default.
- W1571330463 cites W2113395268 @default.
- W1571330463 cites W2126916397 @default.
- W1571330463 cites W2127700708 @default.
- W1571330463 cites W2131249658 @default.
- W1571330463 cites W2132377483 @default.
- W1571330463 cites W2143054909 @default.
- W1571330463 cites W2151904895 @default.
- W1571330463 cites W2154320483 @default.
- W1571330463 cites W2157858580 @default.
- W1571330463 cites W2160049695 @default.
- W1571330463 cites W2166888271 @default.
- W1571330463 cites W2168619191 @default.
- W1571330463 cites W2169844369 @default.
- W1571330463 cites W2171297761 @default.
- W1571330463 cites W2280266468 @default.
- W1571330463 cites W2760860222 @default.
- W1571330463 cites W2784906309 @default.
- W1571330463 cites W3098296963 @default.
- W1571330463 cites W3098439458 @default.
- W1571330463 cites W3098991820 @default.
- W1571330463 cites W3099384382 @default.
- W1571330463 cites W3100140276 @default.
- W1571330463 cites W3100495195 @default.
- W1571330463 cites W3100613786 @default.
- W1571330463 cites W3101004335 @default.
- W1571330463 cites W3101302798 @default.
- W1571330463 cites W3101496508 @default.
- W1571330463 cites W3101916665 @default.
- W1571330463 cites W3102244588 @default.
- W1571330463 cites W3103528178 @default.
- W1571330463 cites W3104061909 @default.
- W1571330463 cites W3104428404 @default.
- W1571330463 cites W3105133445 @default.
- W1571330463 cites W3106428691 @default.
- W1571330463 cites W4240316066 @default.
- W1571330463 cites W4249956767 @default.
- W1571330463 doi "https://doi.org/10.1103/physrevd.98.025019" @default.
- W1571330463 hasPublicationYear "2018" @default.
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