Condensation driven by a quantum phase transition
The grand canonical thermodynamics of a bosonic system is studied in order to identify the footprint of its own high-density quantum phase transition. The phases displayed by the system at zero temperature establish recognizable patterns at finite temperature that emerged in the proximity of the bou...
- Autores:
-
Alvarez, Miguel
- Tipo de recurso:
- Fecha de publicación:
- 2022
- Institución:
- Universidad del Atlántico
- Repositorio:
- Repositorio Uniatlantico
- Idioma:
- eng
- OAI Identifier:
- oai:repositorio.uniatlantico.edu.co:20.500.12834/834
- Acceso en línea:
- https://hdl.handle.net/20.500.12834/834
https://www.scopus.com/inward/record.uri?eid=2-s2.0-85128192785&doi=10.1088%2f1751-8121%2fac5509&partnerID=40&md5=82d54669e210832838c1983bf2e7d822
- Palabra clave:
- Phase Transitions
Boson Systems
Condensation
- Rights
- openAccess
- License
- http://creativecommons.org/licenses/by-nc/4.0/
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| dc.title.spa.fl_str_mv |
Condensation driven by a quantum phase transition |
| title |
Condensation driven by a quantum phase transition |
| spellingShingle |
Condensation driven by a quantum phase transition Phase Transitions Boson Systems Condensation |
| title_short |
Condensation driven by a quantum phase transition |
| title_full |
Condensation driven by a quantum phase transition |
| title_fullStr |
Condensation driven by a quantum phase transition |
| title_full_unstemmed |
Condensation driven by a quantum phase transition |
| title_sort |
Condensation driven by a quantum phase transition |
| dc.creator.fl_str_mv |
Alvarez, Miguel |
| dc.contributor.author.none.fl_str_mv |
Alvarez, Miguel |
| dc.contributor.other.none.fl_str_mv |
Reslen, Jose |
| dc.subject.keywords.spa.fl_str_mv |
Phase Transitions Boson Systems Condensation |
| topic |
Phase Transitions Boson Systems Condensation |
| description |
The grand canonical thermodynamics of a bosonic system is studied in order to identify the footprint of its own high-density quantum phase transition. The phases displayed by the system at zero temperature establish recognizable patterns at finite temperature that emerged in the proximity of the boundary of the equilibrium diagram. The gaped phase induces a state of collectivism/condensation at finite temperature in which population cumulates into the ground state in spite of inter- acting attractively. The work sets the foundation to approach the effect of attraction in the formation of a molecular condensate. |
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2022 |
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2022-11-15T19:40:04Z |
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2022-11-15T19:40:04Z |
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2022-03-22 |
| dc.date.submitted.none.fl_str_mv |
2022-01-10 |
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10.1088/1751-8121/ac5509 |
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Universidad del Atlántico |
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Repositorio Universidad del Atlántico |
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https://www.scopus.com/inward/record.uri?eid=2-s2.0-85128192785&doi=10.1088%2f1751-8121%2fac5509&partnerID=40&md5=82d54669e210832838c1983bf2e7d822 |
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10.1088/1751-8121/ac5509 Universidad del Atlántico Repositorio Universidad del Atlántico |
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eng |
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eng |
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Física |
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Sede Norte |
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Journal of Physics A: Mathematical and Theoretical |
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Alvarez, Miguel47922eff-d438-49b2-968e-c40d23fad3a1Reslen, Jose2022-11-15T19:40:04Z2022-11-15T19:40:04Z2022-03-222022-01-10https://hdl.handle.net/20.500.12834/83410.1088/1751-8121/ac5509Universidad del AtlánticoRepositorio Universidad del Atlánticohttps://www.scopus.com/inward/record.uri?eid=2-s2.0-85128192785&doi=10.1088%2f1751-8121%2fac5509&partnerID=40&md5=82d54669e210832838c1983bf2e7d822The grand canonical thermodynamics of a bosonic system is studied in order to identify the footprint of its own high-density quantum phase transition. The phases displayed by the system at zero temperature establish recognizable patterns at finite temperature that emerged in the proximity of the boundary of the equilibrium diagram. The gaped phase induces a state of collectivism/condensation at finite temperature in which population cumulates into the ground state in spite of inter- acting attractively. The work sets the foundation to approach the effect of attraction in the formation of a molecular condensate.application/pdfenghttp://creativecommons.org/licenses/by-nc/4.0/Attribution-NonCommercial 4.0 Internationalinfo:eu-repo/semantics/openAccesshttp://purl.org/coar/access_right/c_abf2Journal of Physics A: Mathematical and TheoreticalCondensation driven by a quantum phase transitionPúblico generalPhase TransitionsBoson SystemsCondensationinfo:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionArtículohttp://purl.org/coar/version/c_970fb48d4fbd8a85http://purl.org/coar/resource_type/c_2df8fbb1BarranquillaFísicaSede NorteF. Dalfovo, S. Giorgini, L. Pitaevskii and S. Stringari Theory of Bose-Einstein condensation in trapped gases Reviews of Modern Physics 71 463 (1999).J. Kim, Y. Choi and E. Lee Collapse of the metastable state in an attractive Bose-Einstein condensate Physical Review E 66 017201 (2002).G. Berman, A. Smerzi and A. Bishop Quantum Instabil- ity of a Bose-Einstein Condensate with Attractive Inter- action Physical Review Letters 88 120402 (2002).J. Bronski, L. Carr, R. Carretero-Gonz´alez, B. Decon- inck, J. Kutz and K. Promislow Stability of attractive Bose-Einstein condensates in a periodic potential Physi- cal Review E 64 056615 (2001).J. Gerton, D. Strekalov, I. Prodan and R. Hulet Direct observation of growth and collapse of a Bose-Einstein condensate with attractive interactions Nature 408 692 (2000).L. Berge, T. Alexander and Y. Kivshar Stability criterion for attractive Bose-Einstein condensates Physical Review A 62 023607 (2000).A. Eleftheriou and K. Huang Instability of a Bose- Einstein condensate with an attractive interaction Phys- ical Review A 61 043601 (2000).M. Ueda and K. Huang Fate of a Bose-Einstein conden- sate with an attractive interaction Physical Review A 60 (1999).N. Wilkin, J. Gunn, and R. Smith Do attractive bosons condense? Physical Review Letters 80 2265 (1998).C. Sackett, H. Stoof and R. Hulet Growth and Collapse of a Bose-Einstein Condensate with Attractive Interactions Physical Review Letters 80 2031 (1998).H. Shi and W. Zheng Bose-Einstein condensation in an atomic gas with attractive interactions Physical Review A 55 2930 (1997).R. Dodd, M. Edwards, C. Williams, C. Clark, M. Hol- land, P. Ruprecht and K. Burnett Role of attractive inter- actions on Bose-Einstein condensation Physcal Review A 54 661 (1996).C. Bradley, C. Sackett, J. Tollett and R. Hulet Evidence of Bose-Einstein Condensation in an Atomic Gas with Attractive Interactions Physical Review Letters 75 1687 (1995).F. Arute et al. Quantum supremacy using a pro- grammable superconducting processor Nature 574 505 (2019).H. Zhong et al. Quantum computational advantage using photons Science 10.1126/science.abe8770 (2020).Z. Zhang, L. Chen, K. Yao and C. Chin Atomic Bose- Einstein condensate to molecular Bose-Einstein conden- sate transition Nature 592 708 (2021).C. Warner, A. Lam, N. Bigagli, H. Liu, I. Stevenson and S. Will Overlapping Bose-Einstein Condensates of 23Na and 133Cs arXiv:2106.01334 (2021).R. Spekkens and J. Sipe Spatial fragmentation of a Bose- Einstein condensate in a double-well potential Physical Review A 59 3868 (1999).M. Fisher, P. Weichman, G. Grinstein and D. Fisher Boson localization and the superfluid-insulator transition Physical Review B 40 546 (1989).M. Greiner, O. Mandel, T. Esslinger, T. Hansch and I. Bloch Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms Nature 415 39 (2002).M. Aidelsburger, M. Atala, M. Lohse, J. Barreiro, B. Paredes and I. Bloch Realization of the Hofstadter Hamil- tonian with Ultracold Atoms in Optical Lattices 111 185301 (2013).K. Jimenez and J. Reslen Thermodynamic signatures of an underlying quantum phase transition: A grand canon- ical approach Physics Letters A 380 2603 (2016).K. Zhang and Z. Song Quantum phase transition in a quantum Ising chain at nonzero temperatures Physical Review Letters 126 116401 (2021).T. Schaetz Trapping ions and atoms optically Journal of Physics B: Atomic, Molecular and Optical Physics 50 102001 (2017).http://purl.org/coar/resource_type/c_2df8fbb1ORIGINAL2106.13298.pdf2106.13298.pdfapplication/pdf287424https://repositorio.uniatlantico.edu.co/bitstream/20.500.12834/834/1/2106.13298.pdf82459c8d3e9def912b733e9b08495c99MD51CC-LICENSElicense_rdflicense_rdfapplication/rdf+xml; charset=utf-8914https://repositorio.uniatlantico.edu.co/bitstream/20.500.12834/834/2/license_rdf24013099e9e6abb1575dc6ce0855efd5MD52LICENSElicense.txtlicense.txttext/plain; charset=utf-81306https://repositorio.uniatlantico.edu.co/bitstream/20.500.12834/834/3/license.txt67e239713705720ef0b79c50b2ececcaMD5320.500.12834/834oai:repositorio.uniatlantico.edu.co:20.500.12834/8342022-11-15 14:40:05.249DSpace de la Universidad de Atlánticosysadmin@mail.uniatlantico.edu.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 |