Journal Article

Linear-algebraic bath transformation for simulating complex open quantum systems

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

2014

Overview

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.

• Publisher: IOP Publishing
• Subject: Algebra / bath transformation / chain bath model / Chains / charge transport / CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS / Computer simulation / energy transfer / Harmonic oscillators / Joining / Linear algebra / Mathematical models / open quantum system / optics / photosynthesis (natural and artificial) / Physics / Polynomials / quantum simulator / Quantum theory / Qubits (quantum computing) / Simulators / solar (photovoltaic) / solid state lighting / spin-boson model / superconducting qubit / synthesis (novel materials) / synthesis (scalable processing) / synthesis (self-assembly) / Transformations