Drude weight and the many-body quantum metric in one-dimensional Bose systems

G. Salerno; T. Ozawa; P. Törmä

doi:10.1103/PhysRevB.108.L140503

Drude weight and the many-body quantum metric in one-dimensional Bose systems

G. Salerno, T. Ozawa, P. Törmä

Tohoku University

Tutkimustuotos: Lehtiartikkeli › Article › Scientific › vertaisarvioitu

2 Sitaatiot (Scopus)

47 Lataukset (Pure)

Abstrakti

We study the effect of quantum geometry on the many-body ground state of one-dimensional interacting bosonic systems. We find that the Drude weight is given by the sum of the kinetic energy and a term proportional to the many-body quantum metric of the ground state. Notably, the many-body quantum metric determines the upper bound of the Drude weight. We validate our results on the Creutz ladder, a flat-band model, using exact diagonalization at half and unit densities. Our work sheds light on the importance of the many-body quantum geometry in one-dimensional interacting bosonic systems.

Alkuperäiskieli	Englanti
Artikkeli	L140503
Sivut	1-6
Sivumäärä	6
Julkaisu	Physical Review B
Vuosikerta	108
Numero	14
DOI - pysyväislinkit	https://doi.org/10.1103/PhysRevB.108.L140503
Tila	Julkaistu - 1 lokak. 2023
OKM-julkaisutyyppi	A1 Alkuperäisartikkeli tieteellisessä aikakauslehdessä

Pääsy asiakirjaan

10.1103/PhysRevB.108.L140503

Drude weight and the many-body quantum metric in one-dimensional Bose systemsFinal published version, 372 KB

https://arxiv.org/abs/2307.10012Lisenssi: CC BY

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1 Aktiivinen
3 Päättynyt

-: Correlations in multiband quantum systems
Törmä, P., Arjas, K., Dahlberg, A., Heilmann-Rämö, R., Penttilä, R., Yıldırım, P., Taskinen, J., Hu, L. & Aronen, K.
01/09/2022 → 31/08/2026
Projekti: Academy of Finland: Other research funding
TEBLA: Topological Effects in Bosonic Lattices
Salerno, G.
01/06/2021 → 31/05/2023
Projekti: EU: MC
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

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title = "Drude weight and the many-body quantum metric in one-dimensional Bose systems",

abstract = "We study the effect of quantum geometry on the many-body ground state of one-dimensional interacting bosonic systems. We find that the Drude weight is given by the sum of the kinetic energy and a term proportional to the many-body quantum metric of the ground state. Notably, the many-body quantum metric determines the upper bound of the Drude weight. We validate our results on the Creutz ladder, a flat-band model, using exact diagonalization at half and unit densities. Our work sheds light on the importance of the many-body quantum geometry in one-dimensional interacting bosonic systems.",

author = "G. Salerno and T. Ozawa and P. T{\"o}rm{\"a}",

note = "Funding Information: Acknowledgments. We thank Ville Pyykk{\"o}nen for useful discussions. The calculations have been performed using the quspin package . We acknowledge the computational resources provided by the Aalto Science-IT project. This work was supported by Academy of Finland under Projects No. 303351, No. 327293, and No. 349313. G.S. has received funding from the European Union's Horizon 2020 research and innovation programme under the Marie Sk{\l}odowska-Curie Grant Agreement No. 101025211 (TEBLA). T.O. is supported by JSPS KAKENHI Grant No. JP20H01845 and JST CREST Grant No. JPMJCR19T1. This work has been initiated and supported by the Global Intellectual Incubation and Integration Laboratory ( Lab) Program provided by WPI-AIMR, Tohoku University. | openaire: EC/H2020/101025211/EU//TEBLA ",

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doi = "10.1103/PhysRevB.108.L140503",

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AU - Salerno, G.

AU - Ozawa, T.

AU - Törmä, P.

N1 - Funding Information: Acknowledgments. We thank Ville Pyykkönen for useful discussions. The calculations have been performed using the quspin package . We acknowledge the computational resources provided by the Aalto Science-IT project. This work was supported by Academy of Finland under Projects No. 303351, No. 327293, and No. 349313. G.S. has received funding from the European Union's Horizon 2020 research and innovation programme under the Marie Skłodowska-Curie Grant Agreement No. 101025211 (TEBLA). T.O. is supported by JSPS KAKENHI Grant No. JP20H01845 and JST CREST Grant No. JPMJCR19T1. This work has been initiated and supported by the Global Intellectual Incubation and Integration Laboratory ( Lab) Program provided by WPI-AIMR, Tohoku University. | openaire: EC/H2020/101025211/EU//TEBLA

PY - 2023/10/1

Y1 - 2023/10/1

N2 - We study the effect of quantum geometry on the many-body ground state of one-dimensional interacting bosonic systems. We find that the Drude weight is given by the sum of the kinetic energy and a term proportional to the many-body quantum metric of the ground state. Notably, the many-body quantum metric determines the upper bound of the Drude weight. We validate our results on the Creutz ladder, a flat-band model, using exact diagonalization at half and unit densities. Our work sheds light on the importance of the many-body quantum geometry in one-dimensional interacting bosonic systems.

AB - We study the effect of quantum geometry on the many-body ground state of one-dimensional interacting bosonic systems. We find that the Drude weight is given by the sum of the kinetic energy and a term proportional to the many-body quantum metric of the ground state. Notably, the many-body quantum metric determines the upper bound of the Drude weight. We validate our results on the Creutz ladder, a flat-band model, using exact diagonalization at half and unit densities. Our work sheds light on the importance of the many-body quantum geometry in one-dimensional interacting bosonic systems.

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JO - Physical Review B

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ER -

Drude weight and the many-body quantum metric in one-dimensional Bose systems

Abstrakti

Pääsy asiakirjaan

Muut tiedostot ja linkit

Sormenjälki

Projektit

-: Correlations in multiband quantum systems

TEBLA: Topological Effects in Bosonic Lattices

Pitkän kantaman koherenssi nanosysteemeissä

Laitteet

Science-IT

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