--- _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' ...