Projects per year
Abstract
Strong coupling between a system and its environment leads to the emergence of non-Markovian dynamics, which cannot be described by a time-local master equation. One way to capture such dynamics is to use numerical real-time path integrals, where assuming a finite bath memory time enables manageable simulation scaling. However, by comparing to the exactly soluble independent boson model, we show that the presence of transient negative decay rates in the exact dynamics can result in simulations with unphysical exponential growth of density matrix elements when the finite memory approximation is used. We therefore reformulate this approximation in such a way that the exact dynamics are reproduced identically and then apply our new method to the spin-boson model with superohmic environmental coupling, commonly used to model phonon environments, but which cannot be solved exactly. Our new method allows us to easily access parameter regimes where we find revivals in population dynamics which are due to non-Markovian backflow of information from the bath to the system.
Original language | English |
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Article number | 093009 |
Number of pages | 14 |
Journal | New Journal of Physics |
Volume | 19 |
Early online date | 14 Sept 2017 |
DOIs | |
Publication status | Published - Sept 2017 |
Keywords
- Non-Markovian
- Path integral
- Spin-boson model
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Dive into the research topics of 'Efficient real-time path integrals for non-Markovian spin-boson models'. Together they form a unique fingerprint.Projects
- 2 Finished
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Understand Bose-Einstein Conden of Light: Understanding Bose-Einstein condensation of Light
Kirton, P. G. (PI)
1/01/15 → 31/12/17
Project: Fellowship
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Entangling dopant nuclear spins: Entangling dopant nuclear spins using double quantum dots
Lovett, B. W. (PI)
1/09/13 → 31/08/17
Project: Standard
Datasets
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Supporting Data for "Efficient real-time path integrals for non-Markovian spin-boson models"
Lovett, B. W. (Creator), Kirton, P. G. (Creator) & Strathearn, A. (Creator), University of St Andrews, 22 Sept 2017
DOI: 10.17630/21764101-6493-46e7-ab85-65cccc1fb9e5
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