Use this URL to cite or link to this record in EThOS: | https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.809073 |
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Title: | Non-Markovian quantum Brownian motion | ||||||
Author: | Werren, Nicholas |
ISNI:
0000 0004 9350 3300
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Awarding Body: | University of Surrey | ||||||
Current Institution: | University of Surrey | ||||||
Date of Award: | 2020 | ||||||
Availability of Full Text: |
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Abstract: | |||||||
We develop a non-Markovian extension to the caldeira-leggett master equation for quantum Brownian motion by using the timescale of the bath as a small parameter around which to perform a perturbative expansion. This framework allows us to deal directly with the time non-locality of the non-Markovian regime. We derive an exact description of the evolution of the reduced density matrix and obtain a new quantum master equa- tion with non-Markovian corrections added perturbatively to the standard Lindblad form. The resulting simulations show new dynamics and a strong deviation from Markovian behaviour. We observe that quantum coherences survive far longer than in the Marko- vian limit. In particular, when the system is fully non-Markovian, quantum phenomena experience a form of decoherence that behaves functionally like an inverse-power law. These results may have important implications in quantum technologies and biology as they suggest environments can be engineered to support long-lived quantum coherence.
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Supervisor: | Rocco, Andrea ; Al-Khalili, Jim | Sponsor: | STFC ; University of Surrey | ||||
Qualification Name: | Thesis (Ph.D.) | Qualification Level: | Doctoral | ||||
EThOS ID: | uk.bl.ethos.809073 | DOI: | |||||
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