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Waterlike anomalies in the Bose–Hubbard model

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  • Rizzatti, Eduardo Osório
  • Gomes Filho, Márcio Sampaio
  • Malard, Mariana
  • Barbosa, Marco Aurélio A.

Abstract

Although well-researched as a prototype Hamiltonian for strongly interacting quantum systems, the Bose–Hubbard model has not so far been explored as a fluid system with waterlike anomalies. In this work we show that this model supports, in the limit of a strongly localizing confining potential, density anomalies which can be traced back to ground state (zero-temperature) phase transitions between different Mott insulators.

Suggested Citation

  • Rizzatti, Eduardo Osório & Gomes Filho, Márcio Sampaio & Malard, Mariana & Barbosa, Marco Aurélio A., 2019. "Waterlike anomalies in the Bose–Hubbard model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 518(C), pages 323-330.
    • Handle: RePEc:eee:phsmap:v:518:y:2019:i:c:p:323-330
    DOI: 10.1016/j.physa.2018.12.003
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    References listed on IDEAS

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    1. Ken-ichiro Murata & Hajime Tanaka, 2013. "General nature of liquid–liquid transition in aqueous organic solutions," Nature Communications, Nature, vol. 4(1), pages 1-8, December.
    2. Markus Greiner & Olaf Mandel & Tilman Esslinger & Theodor W. Hänsch & Immanuel Bloch, 2002. "Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms," Nature, Nature, vol. 415(6867), pages 39-44, January.
    3. A. Taschin & P. Bartolini & R. Eramo & R. Righini & R. Torre, 2013. "Evidence of two distinct local structures of water from ambient to supercooled conditions," Nature Communications, Nature, vol. 4(1), pages 1-8, December.
    4. Jeffrey R. Errington & Pablo G. Debenedetti, 2001. "Relationship between structural order and the anomalies of liquid water," Nature, Nature, vol. 409(6818), pages 318-321, January.
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    Cited by:

    1. Habitzreuter, Marco A. & Rizzatti, Eduardo O. & Barbosa, Marcia C., 2023. "Waterlike density anomaly in fermions," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 630(C).

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