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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Main Authors: Dominic Gribben, Aidan Strathearn, Jake Iles-Smith, Dainius Kilda, Ahsan Nazir, Brendon W. Lovett, Peter Kirton
Format: Article
Language:English
Published: American Physical Society 2020-03-01
Series:Physical Review Research
Online Access:http://doi.org/10.1103/PhysRevResearch.2.013265
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author Dominic Gribben
Aidan Strathearn
Jake Iles-Smith
Dainius Kilda
Ahsan Nazir
Brendon W. Lovett
Peter Kirton
author_facet Dominic Gribben
Aidan Strathearn
Jake Iles-Smith
Dainius Kilda
Ahsan Nazir
Brendon W. Lovett
Peter Kirton
author_sort Dominic Gribben
collection DOAJ
description 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 general purpose 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 dynamics observed.
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spelling doaj.art-ea8b33cba1b84379a51805c1f250330f2024-04-12T16:50:56ZengAmerican Physical SocietyPhysical Review Research2643-15642020-03-012101326510.1103/PhysRevResearch.2.013265Exact quantum dynamics in structured environmentsDominic GribbenAidan StrathearnJake Iles-SmithDainius KildaAhsan NazirBrendon W. LovettPeter KirtonThe 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 general purpose 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 dynamics observed.http://doi.org/10.1103/PhysRevResearch.2.013265
spellingShingle Dominic Gribben
Aidan Strathearn
Jake Iles-Smith
Dainius Kilda
Ahsan Nazir
Brendon W. Lovett
Peter Kirton
Exact quantum dynamics in structured environments
Physical Review Research
title Exact quantum dynamics in structured environments
title_full Exact quantum dynamics in structured environments
title_fullStr Exact quantum dynamics in structured environments
title_full_unstemmed Exact quantum dynamics in structured environments
title_short Exact quantum dynamics in structured environments
title_sort exact quantum dynamics in structured environments
url http://doi.org/10.1103/PhysRevResearch.2.013265
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