Exact Quantum Dynamics in Structured Environments

The dynamics of a wide range of technologically important quantum systems are dominated by their interaction with just a few environmental modes. Such highly structured environments give rise to long-lived bath correlations that induce complex dynamics which are very difficult to simulate. These dif...

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Bibliographic Details
Published in:arXiv.org 2019-07
Main Authors: Gribben, Dominic, Strathearn, Aidan, Iles-Smith, Jake, Kilda, Dainius, Ahsan Nazir, Lovett, Brendon W, Kirton, Peter
Format: Article
Language:English
Subjects:
Complex systems
Computer simulation
System dynamics
Online Access:Get full text
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Summary:The dynamics of a wide range of technologically important quantum systems are dominated by their interaction with just a few environmental modes. Such highly structured environments give rise to long-lived bath correlations that induce complex dynamics which are very difficult to simulate. These difficulties are further aggravated when spatial correlations between different parts of the system are important. By modeling the dynamics of a pair of two-level quantum systems in a common, structured, environment we show that a recently developed numerical approach, the time-evolving matrix product operator, is capable of accurate simulation under exactly these conditions. We find that tuning the separation to match the wavelength of the dominant environmental modes can drastically modify the system dynamics. To further explore this behavior, we show that the full dynamics of the bath can be calculated directly from those of the system, thus allowing us to develop intuition for the complex system dynamics observed.
ISSN:2331-8422
DOI:10.48550/arxiv.1907.02932