Linear-algebraic bath transformation for simulating complex open quantum systems

Huh, Joonsuk; Mostame, Sarah; Fujita, Takatoshi; Yung, Man -Hong; Aspuru-Guzik, Alan

doi:10.1088/1367-2630/16/12/123008

Title: Linear-algebraic bath transformation for simulating complex open quantum systems

Journal Article · Tue Dec 02 00:00:00 EST 2014 · New Journal of Physics

DOI:https://doi.org/10.1088/1367-2630/16/12/123008· OSTI ID:1210677

Huh, Joonsuk ^[1]; Mostame, Sarah ^[1]; Fujita, Takatoshi ^[1]; Yung, Man -Hong ^[2]; Aspuru-Guzik, Alan ^[1]

Harvard Univ., Cambridge, MA (United States)
Tsinghua Univ., Beijing (China)

In studying open quantum systems, the environment is often approximated as a collection of non-interacting harmonic oscillators, a configuration also known as the star-bath model. It is also well known that the star-bath can be transformed into a nearest-neighbor interacting chain of oscillators. The chain-bath model has been widely used in renormalization group approaches. The transformation can be obtained by recursion relations or orthogonal polynomials. Based on a simple linear algebraic approach, we propose a bath partition strategy to reduce the system-bath coupling strength. As a result, the non-interacting star-bath is transformed into a set of weakly coupled multiple parallel chains. Furthermore, the transformed bath model allows complex problems to be practically implemented on quantum simulators, and it can also be employed in various numerical simulations of open quantum dynamics.

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Research Organization:: Energy Frontier Research Centers (EFRC), Washington, D.C. (United States). Center for Excitonics (CE)

Sponsoring Organization:: USDOE Office of Science (SC), Basic Energy Sciences (BES)

Grant/Contract Number:: SC0001088

OSTI ID:: 1210677

Journal Information:: New Journal of Physics, Vol. 16, Issue 12; Related Information: CE partners with Massachusetts Institute of Technology (lead); Brookhaven National Laboratory; Harvard University; ISSN 1367-2630

Publisher:: IOP PublishingCopyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 15 works

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