Linear-algebraic bath transformation for simulating complex open quantum systems
Abstract
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.
- Authors:
-
- Harvard Univ., Cambridge, MA (United States)
- Tsinghua Univ., Beijing (China)
- Publication Date:
- Research Org.:
- Energy Frontier Research Centers (EFRC), Washington, D.C. (United States). Center for Excitonics (CE)
- Sponsoring Org.:
- USDOE Office of Science (SC), Basic Energy Sciences (BES)
- OSTI Identifier:
- 1210677
- Grant/Contract Number:
- SC0001088
- Resource Type:
- Accepted Manuscript
- Journal Name:
- New Journal of Physics
- Additional Journal Information:
- Journal Volume: 16; Journal Issue: 12; Related Information: CE partners with Massachusetts Institute of Technology (lead); Brookhaven National Laboratory; Harvard University; Journal ID: ISSN 1367-2630
- Publisher:
- IOP Publishing
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; solar (photovoltaic); solid state lighting; photosynthesis (natural and artificial); charge transport; optics; synthesis (novel materials); synthesis (self-assembly); synthesis (scalable processing)
Citation Formats
Huh, Joonsuk, Mostame, Sarah, Fujita, Takatoshi, Yung, Man -Hong, and Aspuru-Guzik, Alan. Linear-algebraic bath transformation for simulating complex open quantum systems. United States: N. p., 2014.
Web. doi:10.1088/1367-2630/16/12/123008.
Huh, Joonsuk, Mostame, Sarah, Fujita, Takatoshi, Yung, Man -Hong, & Aspuru-Guzik, Alan. Linear-algebraic bath transformation for simulating complex open quantum systems. United States. https://doi.org/10.1088/1367-2630/16/12/123008
Huh, Joonsuk, Mostame, Sarah, Fujita, Takatoshi, Yung, Man -Hong, and Aspuru-Guzik, Alan. Tue .
"Linear-algebraic bath transformation for simulating complex open quantum systems". United States. https://doi.org/10.1088/1367-2630/16/12/123008. https://www.osti.gov/servlets/purl/1210677.
@article{osti_1210677,
title = {Linear-algebraic bath transformation for simulating complex open quantum systems},
author = {Huh, Joonsuk and Mostame, Sarah and Fujita, Takatoshi and Yung, Man -Hong and Aspuru-Guzik, Alan},
abstractNote = {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.},
doi = {10.1088/1367-2630/16/12/123008},
journal = {New Journal of Physics},
number = 12,
volume = 16,
place = {United States},
year = {Tue Dec 02 00:00:00 EST 2014},
month = {Tue Dec 02 00:00:00 EST 2014}
}
Web of Science
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