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Dai, Jianhui; Xie, Zhipeng; Huang, Yingsong; Ma, Liguo; Zhou, Lizhu

doi:10.1023/a:1006606606852

Cited by 8 publications

(1 citation statement)

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“…Any further distribution of this work must maintain attribution to the author(s) and the title of the work, journal citation and DOI. few-body systems [1][2][3][4][5][6][7][8][9][10][11]. Through solutions of the few-body problem it is possible to calculate the thermodynamics of many-body quantum gases [6,[12][13][14][15][16][17][18][19][20][21][22][23] and the quench dynamics of few-body systems [24][25][26][27][28][29][30][31][32][33][34][35].…”

Section: Introductionmentioning

confidence: 99%

Energetics and Efimov states of three interacting bosons and mass-imbalanced fermions in a three-dimensional spherical harmonic trap

Kerin

Martin

2023

J. Phys. B: At. Mol. Opt. Phys.

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We consider a system of three particles, either three identical bosons or two identical fermions plus an impurity, within a three-dimensional isotropic trap interacting via a contact interaction. Using two approaches, one using an inﬁnite sum of basis states for the wavefunction and the other a closed form wavefunction, we calculate the allowable energy eigenstates of the system as a function of the interaction strength, including the strongly and weakly interacting limits. For the fermionic case this is done while maintaining generality regarding particle masses. We ﬁnd that the two methods of calculating the spectrum are in excellent agreement in the strongly interacting limit. However the inﬁnite sum approach is unable to uniquely specify the energy of Eﬁmov states, but in the strongly interacting limit there is, to a high degree of accuracy, a correspondence between the three-body parameter required by the boundary condition of the closed form approach and the summation truncation order required by the summation approach. This speciﬁcation of the energies and wavefunctions forms the basis with which thermodynamic variables such as the virial coeﬃcients or Tan contacts, or dynamic phenomena like quench dynamics can be calculated.

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