---
_id: '1824'
abstract:
- lang: eng
text: Condensation phenomena arise through a collective behaviour of particles.
They are observed in both classical and quantum systems, ranging from the formation
of traffic jams in mass transport models to the macroscopic occupation of the
energetic ground state in ultra-cold bosonic gases (Bose-Einstein condensation).
Recently, it has been shown that a driven and dissipative system of bosons may
form multiple condensates. Which states become the condensates has, however, remained
elusive thus far. The dynamics of this condensation are described by coupled birth-death
processes, which also occur in evolutionary game theory. Here we apply concepts
from evolutionary game theory to explain the formation of multiple condensates
in such driven-dissipative bosonic systems. We show that the vanishing of relative
entropy production determines their selection. The condensation proceeds exponentially
fast, but the system never comes to rest. Instead, the occupation numbers of condensates
may oscillate, as we demonstrate for a rock-paper-scissors game of condensates.
article_number: '6977'
author:
- first_name: Johannes
full_name: Knebel, Johannes
last_name: Knebel
- first_name: Markus
full_name: Weber, Markus
last_name: Weber
- first_name: Torben H
full_name: Krüger, Torben H
id: 3020C786-F248-11E8-B48F-1D18A9856A87
last_name: Krüger
orcid: 0000-0002-4821-3297
- first_name: Erwin
full_name: Frey, Erwin
last_name: Frey
citation:
ama: Knebel J, Weber M, Krüger TH, Frey E. Evolutionary games of condensates in
coupled birth-death processes. Nature Communications. 2015;6. doi:10.1038/ncomms7977
apa: Knebel, J., Weber, M., Krüger, T. H., & Frey, E. (2015). Evolutionary games
of condensates in coupled birth-death processes. Nature Communications.
Nature Publishing Group. https://doi.org/10.1038/ncomms7977
chicago: Knebel, Johannes, Markus Weber, Torben H Krüger, and Erwin Frey. “Evolutionary
Games of Condensates in Coupled Birth-Death Processes.” Nature Communications.
Nature Publishing Group, 2015. https://doi.org/10.1038/ncomms7977.
ieee: J. Knebel, M. Weber, T. H. Krüger, and E. Frey, “Evolutionary games of condensates
in coupled birth-death processes,” Nature Communications, vol. 6. Nature
Publishing Group, 2015.
ista: Knebel J, Weber M, Krüger TH, Frey E. 2015. Evolutionary games of condensates
in coupled birth-death processes. Nature Communications. 6, 6977.
mla: Knebel, Johannes, et al. “Evolutionary Games of Condensates in Coupled Birth-Death
Processes.” Nature Communications, vol. 6, 6977, Nature Publishing Group,
2015, doi:10.1038/ncomms7977.
short: J. Knebel, M. Weber, T.H. Krüger, E. Frey, Nature Communications 6 (2015).
date_created: 2018-12-11T11:54:13Z
date_published: 2015-04-24T00:00:00Z
date_updated: 2021-01-12T06:53:26Z
day: '24'
ddc:
- '530'
department:
- _id: LaEr
doi: 10.1038/ncomms7977
file:
- access_level: open_access
checksum: c4cffb5c8b245e658a34eac71a03e7cc
content_type: application/pdf
creator: system
date_created: 2018-12-12T10:16:54Z
date_updated: 2020-07-14T12:45:17Z
file_id: '5245'
file_name: IST-2016-451-v1+1_ncomms7977.pdf
file_size: 1151501
relation: main_file
file_date_updated: 2020-07-14T12:45:17Z
has_accepted_license: '1'
intvolume: ' 6'
language:
- iso: eng
month: '04'
oa: 1
oa_version: Published Version
publication: Nature Communications
publication_status: published
publisher: Nature Publishing Group
publist_id: '5282'
pubrep_id: '451'
quality_controlled: '1'
scopus_import: 1
status: public
title: Evolutionary games of condensates in coupled birth-death processes
tmp:
image: /images/cc_by.png
legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
short: CC BY (4.0)
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 6
year: '2015'
...