Quantum Monte Carlo studies of a trimer scaling function with microscopic two- and three-body interactions

Autor(es)

Madeira, Lucas ^[1] ; Frederico, Tobias ^[2] ; Gandolfi, Stefano ^[3] ; Tomio, Lauro ^[4] ; Yamashita, Marcelo T. ^[4]

Afiliação do(s) autor(es)

^[1] Univ Sao Paulo, Inst Fis Sao Carlos, CP 369, BR-13560970 Sao Carlos, SP - Brazil

^[2] DCTA, Inst Tecnol Aeronaut, BR-12228900 Sao Jose Dos Campos - Brazil

^[3] Los Alamos Natl Lab, Theoret Div, Los Alamos, NM 87545 - USA

^[4] Univ Estadual Paulista, Inst Fis Teor, BR-01405900 Sao Paulo - Brazil

• Tipo de documento: Artigo Científico
• Fonte: Physical Review A; v. 104, n. 3 SEP 1 2021.
• Citações Web of Science: 0

Resumo

We present an energy scaling function to predict, in a specific range, the energy of bosonic trimers with large scattering lengths and finite range interactions, which is validated by quantum Monte Carlo calculations using microscopic Hamiltonians with two- and three-body potentials. The proposed scaling function depends on the scattering length, effective range, and a reference energy, which we chose as the trimer energy at unitarity. We obtained the scaling function as a limit cycle from the solution of the renormalized zero-range model with effective range corrections. We proposed a simple parametrization of the energy scaling function. Besides the intrinsic interest in theoretical and experimental investigations, this scaling function allows one to probe Efimov physics with only the trimer ground states, which may open opportunities to identify Efimov trimers whenever access to excited states is limited. (AU)

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