Effective dynamics of strongly dissipative Rydberg gases

We investigate the evolution of interacting Rydberg gases in the limit of strong noise and dissipation. Starting from a description in terms of a Markovian quantum master equation we derive effective equations of motion that govern the dynamics on a "coarse-grained" timescale where fast di...

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Main Authors:	Marcuzzi, Matteo, Schick, Jan, Olmos, Beatriz, Lesanovsky, Igor
Format:	Article
Language:	English
Published:	IOP 2014
Online Access:	http://eprints.nottingham.ac.uk/42057/ http://eprints.nottingham.ac.uk/42057/ http://eprints.nottingham.ac.uk/42057/ http://eprints.nottingham.ac.uk/42057/1/1409.8170.pdf

id	nottingham-42057
recordtype	eprints
spelling	nottingham-420572018-06-27T10:00:13Z http://eprints.nottingham.ac.uk/42057/ Effective dynamics of strongly dissipative Rydberg gases Marcuzzi, Matteo Schick, Jan Olmos, Beatriz Lesanovsky, Igor We investigate the evolution of interacting Rydberg gases in the limit of strong noise and dissipation. Starting from a description in terms of a Markovian quantum master equation we derive effective equations of motion that govern the dynamics on a "coarse-grained" timescale where fast dissipative degrees of freedom have been adiabatically eliminated. Specifically, we consider two scenarios which are of relevance for current theoretical and experimental studies --- Rydberg atoms in a two-level (spin) approximation subject to strong dephasing noise as well as Rydberg atoms under so-called electromagnetically induced transparency (EIT) conditions and fast radiative decay. In the former case we find that the effective dynamics is described by classical rate equations up to second order in an appropriate perturbative expansion. This drastically reduces the computational complexity of numerical simulations in comparison to the full quantum master equation. When accounting for the fourth order correction in this expansion, however, we find that the resulting equation breaks the preservation of positivity and thus cannot be interpreted as a proper classical master rate equation. In the EIT system we find that the expansion up to second order retains information not only on the "classical" observables, but also on some quantum coherences. Nevertheless, this perturbative treatment still achieves a non-trivial reduction of complexity with respect to the original problem. IOP 2014-11-11 Article PeerReviewed application/pdf en http://eprints.nottingham.ac.uk/42057/1/1409.8170.pdf Marcuzzi, Matteo and Schick, Jan and Olmos, Beatriz and Lesanovsky, Igor (2014) Effective dynamics of strongly dissipative Rydberg gases. Journal of Physics A: Mathematical and Theoretical, 47 (48). 482001/1-482001/30. ISSN 1751-8121 http://iopscience.iop.org/article/10.1088/1751-8113/47/48/482001/meta doi:10.1088/1751-8113/47/48/482001 doi:10.1088/1751-8113/47/48/482001
repository_type	Digital Repository
institution_category	Local University
institution	University of Nottingham Malaysia Campus
building	Nottingham Research Data Repository
collection	Online Access
language	English
description	We investigate the evolution of interacting Rydberg gases in the limit of strong noise and dissipation. Starting from a description in terms of a Markovian quantum master equation we derive effective equations of motion that govern the dynamics on a "coarse-grained" timescale where fast dissipative degrees of freedom have been adiabatically eliminated. Specifically, we consider two scenarios which are of relevance for current theoretical and experimental studies --- Rydberg atoms in a two-level (spin) approximation subject to strong dephasing noise as well as Rydberg atoms under so-called electromagnetically induced transparency (EIT) conditions and fast radiative decay. In the former case we find that the effective dynamics is described by classical rate equations up to second order in an appropriate perturbative expansion. This drastically reduces the computational complexity of numerical simulations in comparison to the full quantum master equation. When accounting for the fourth order correction in this expansion, however, we find that the resulting equation breaks the preservation of positivity and thus cannot be interpreted as a proper classical master rate equation. In the EIT system we find that the expansion up to second order retains information not only on the "classical" observables, but also on some quantum coherences. Nevertheless, this perturbative treatment still achieves a non-trivial reduction of complexity with respect to the original problem.
format	Article
author	Marcuzzi, Matteo Schick, Jan Olmos, Beatriz Lesanovsky, Igor
spellingShingle	Marcuzzi, Matteo Schick, Jan Olmos, Beatriz Lesanovsky, Igor Effective dynamics of strongly dissipative Rydberg gases
author_facet	Marcuzzi, Matteo Schick, Jan Olmos, Beatriz Lesanovsky, Igor
author_sort	Marcuzzi, Matteo
title	Effective dynamics of strongly dissipative Rydberg gases
title_short	Effective dynamics of strongly dissipative Rydberg gases
title_full	Effective dynamics of strongly dissipative Rydberg gases
title_fullStr	Effective dynamics of strongly dissipative Rydberg gases
title_full_unstemmed	Effective dynamics of strongly dissipative Rydberg gases
title_sort	effective dynamics of strongly dissipative rydberg gases
publisher	IOP
publishDate	2014
url	http://eprints.nottingham.ac.uk/42057/ http://eprints.nottingham.ac.uk/42057/ http://eprints.nottingham.ac.uk/42057/ http://eprints.nottingham.ac.uk/42057/1/1409.8170.pdf
first_indexed	2018-09-06T13:17:21Z
last_indexed	2018-09-06T13:17:21Z
_version_	1610864227795337216

Effective dynamics of strongly dissipative Rydberg gases

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