Linear-algebraic bath transformation for simulating complex open quantum systems
TL;DR: In this paper, a bath partition strategy is proposed to reduce the coupling strength of the system-bath coupling strength, and the non-interacting star-bath is transformed into a set of weakly coupled multiple parallel chains.
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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. 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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Theory of open quantum systems
Rui-Xue Xu,YiJing Yan +1 more
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Heinz-Peter Breuer,Francesco Petruccione +1 more
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TL;DR: A review of renormalization group ideas in the context of critical phenomena can be found in this paper, where the authors discuss the relationship of the modern renormalisation group to the older problems of divergences in statistical mechanics and field theory.
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