2014/08/14 by Joonsuk Huh, Sarah Mostame, Takatoshi Fujita +4 · 2 citations
Computer Science · Physics and Astronomy · #Algebraic number #Algorithm #Chain (unit) #Classical mechanics #Harmonic oscillator #Mathematical analysis #Physics #Quantum #Quantum Computing Algorithms and Architecture #Quantum Information and Cryptography #Quantum mechanics #Recursion (computer science) #Renormalization #Simple (philosophy) #Spectroscopy and Quantum Chemical Studies #Star (game theory) #Statistical physics #Transformation (genetics) #physics.chem-ph #physics.comp-ph #quant-ph
paper · pdf · doi:10.1088/1367-2630/16/12/123008
9 pages, 6 figures
arxiv created 2014/08/14 · openalex publication_date 2014/12/02 · arxiv updated 2014/12/19 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
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. 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.