Quantum Geometry and Flat Band Bose-Einstein Condensation

Aleksi Julku; Georg M. Bruun; Päivi Törmä

doi:10.1103/PhysRevLett.127.170404

Quantum Geometry and Flat Band Bose-Einstein Condensation

Aleksi Julku, Georg M. Bruun, Päivi Törmä

Tutkimustuotos: Lehtiartikkeli › Article › Scientific › vertaisarvioitu

38 Sitaatiot (Scopus)

246 Lataukset (Pure)

Abstrakti

We study the properties of a weakly interacting Bose-Einstein condensate (BEC) in a flat band lattice system by using the multiband Bogoliubov theory and discover fundamental connections to the underlying quantum geometry. In a flat band, the speed of sound and the quantum depletion of the condensate are dictated by the quantum geometry, and a finite quantum distance between the condensed and other states guarantees stability of the BEC. Our results reveal that a suitable quantum geometry allows one to reach the strong quantum correlation regime even with weak interactions.

Alkuperäiskieli	Englanti
Artikkeli	170404
Sivumäärä	6
Julkaisu	Physical Review Letters
Vuosikerta	127
Numero	17
DOI - pysyväislinkit	https://doi.org/10.1103/PhysRevLett.127.170404
Tila	Julkaistu - 22 lokak. 2021
OKM-julkaisutyyppi	A1 Alkuperäisartikkeli tieteellisessä aikakauslehdessä

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10.1103/PhysRevLett.127.170404

Quantum Geometry and Flat Band Bose-Einstein CondensationFinal published version, 554 KB

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Pitkän kantaman koherenssi nanosysteemeissä
Törmä, P., Arjas, K., Julku, A., Kliuiev, P., Pyykkönen, V., Salerno, G., Topp, G., Moilanen, A., Kumar, P., Lamponen, E., Aronen, K. & Luntama, S.
01/01/2020 → 31/12/2021
Projekti: Academy of Finland: Other research funding
Pitkän kantaman koherenssi nanosysteemeissä
Törmä, P.
01/01/2017 → 31/12/2021
Projekti: Academy of Finland: Other research funding
Pitkän kantaman koherenssi nanosysteemeissä
Törmä, P., Arjas, K., Kliuiev, P., Vanhala, T., Liang, L., Moilanen, A., Tylutki, M., Huhtinen, K., Nečada, M., Daskalakis, K., Kumar, P., Pyykkönen, V., Guo, R. & Peotta, S.
01/01/2017 → 31/12/2019
Projekti: Academy of Finland: Other research funding

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title = "Quantum Geometry and Flat Band Bose-Einstein Condensation",

abstract = "We study the properties of a weakly interacting Bose-Einstein condensate (BEC) in a flat band lattice system by using the multiband Bogoliubov theory and discover fundamental connections to the underlying quantum geometry. In a flat band, the speed of sound and the quantum depletion of the condensate are dictated by the quantum geometry, and a finite quantum distance between the condensed and other states guarantees stability of the BEC. Our results reveal that a suitable quantum geometry allows one to reach the strong quantum correlation regime even with weak interactions.",

author = "Aleksi Julku and Bruun, {Georg M.} and P{\"a}ivi T{\"o}rm{\"a}",

note = "Funding Information: Academy of Finland Jenny ja Antti Wihurin Rahasto National Science Foundation Funding Information: We thank Long Liang and Menderes Iskin for useful discussions. A. J. and P. T. acknowledge support by the Academy of Finland under Projects No. 303351, No. 307419, and No. 327293. A. J. acknowledges financial support from the Jenny and Antti Wihuri Foundation. This research was supported in part by the National Science Foundation under Grant No. PHY-1748958. Publisher Copyright: {\textcopyright} 2021 American Physical Society",

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doi = "10.1103/PhysRevLett.127.170404",

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AU - Bruun, Georg M.

AU - Törmä, Päivi

N1 - Funding Information: Academy of Finland Jenny ja Antti Wihurin Rahasto National Science Foundation Funding Information: We thank Long Liang and Menderes Iskin for useful discussions. A. J. and P. T. acknowledge support by the Academy of Finland under Projects No. 303351, No. 307419, and No. 327293. A. J. acknowledges financial support from the Jenny and Antti Wihuri Foundation. This research was supported in part by the National Science Foundation under Grant No. PHY-1748958. Publisher Copyright: © 2021 American Physical Society

PY - 2021/10/22

Y1 - 2021/10/22

N2 - We study the properties of a weakly interacting Bose-Einstein condensate (BEC) in a flat band lattice system by using the multiband Bogoliubov theory and discover fundamental connections to the underlying quantum geometry. In a flat band, the speed of sound and the quantum depletion of the condensate are dictated by the quantum geometry, and a finite quantum distance between the condensed and other states guarantees stability of the BEC. Our results reveal that a suitable quantum geometry allows one to reach the strong quantum correlation regime even with weak interactions.

AB - We study the properties of a weakly interacting Bose-Einstein condensate (BEC) in a flat band lattice system by using the multiband Bogoliubov theory and discover fundamental connections to the underlying quantum geometry. In a flat band, the speed of sound and the quantum depletion of the condensate are dictated by the quantum geometry, and a finite quantum distance between the condensed and other states guarantees stability of the BEC. Our results reveal that a suitable quantum geometry allows one to reach the strong quantum correlation regime even with weak interactions.

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DO - 10.1103/PhysRevLett.127.170404

M3 - Article

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VL - 127

JO - Physical Review Letters

JF - Physical Review Letters

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Quantum Geometry and Flat Band Bose-Einstein Condensation

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