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.
Highlights
Problems associated with open quantum systems are of interest in various research fields [1]
The energy transfer in photosynthetic systems is an example of a complex open quantum system, where the pigments involved in the energy transfer interact with a richly-structured set of molecular vibrations, and a very structured spectral density function (SDF) [3]
We found that the coupling strength of the primary modes, which are directly coupled to the system, can be reduced as we increase the number of the chains; at the same time, we can shorten the lengths of each chain
Summary
Problems associated with open quantum systems are of interest in various research fields [1]. We propose a partitioning strategy of the bath modes for multiple parallel chains to reduce primary mode coupling strengths and the number of the modes directly coupled to the system operator. In addition to the fabrication and implementation benefits for open quantum simulators using quantum hardware, these methods are potentially applicable to simulations in classical computers In this case, perturbative methods may be employed to simulate these chain models with reduced system-bath coupling [28, 29]. The numerical result is compared with a ’standard’ sequential partitioning (SP) scheme
Sign-in/Register to view highlights & summary Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
