Energetics and structural properties of three-dimensional bosonic clusters near threshold

Hanna, Gabriel; Blume, D.

doi:10.1103/physreva.74.063604

Cited by 61 publications

(101 citation statements)

References 58 publications

(111 reference statements)

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“…Here the number in parentheses gives the difference in the last digit between the extrapolation in N and ǫ which can serve as an estimate of the numerical error. The spectra are much more compressed than the corresponding free space results [4][5][6][7][8][9]. However, a similar pattern can be observed: starting from A = 3, every A-body state is accomponied by a corresponding A + 1-body state.…”

Section: And 6 Identical Bosonsmentioning

confidence: 70%

“…In particular, there is a pair of universal four-body states associated with every Efimov state [4,5]. Moreover, universal cluster states have been predicted in five-, six-and possibly higher-body systems as well [6][7][8][9]. Using Feshbach resonances, the two-, three-, four-and five-body states have been confirmed in a ultracold atomic gases in a variety of experiments with different atom species [10][11][12].…”

Section: Introductionmentioning

confidence: 99%

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Convergence properties of the effective theory for trapped bosons

Tölle¹,

Hammer²,

Metsch

2013

J. Phys. G: Nucl. Part. Phys.

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We investigate few-boson systems with resonant interactions in a narrow harmonic trap within an effective theory framework. The size of the model space is identified with the effective theory cutoff. In the universal regime, the interactions of the bosons can be approximated by contact interactions. We investigate the convergence properties of genuine and smeared contact interactions as the size of the model space is increased and present a detailed error analysis. The spectra for few-boson systems with up to 6 identical particles are calculated by combining extrapolations in the cutoff and in the smearing parameter.

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Section: And 6 Identical Bosonsmentioning

confidence: 70%

Section: Introductionmentioning

confidence: 99%

Convergence properties of the effective theory for trapped bosons

Tölle¹,

Hammer²,

Metsch

2013

J. Phys. G: Nucl. Part. Phys.

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“…The ratios of twoand three-body threshold strengths for several potentials were derived in [22,24,25]. These thresholds for binding one state can be characterized by a value of 1/a [10,12].…”

Section: Qualitative Considerationsmentioning

confidence: 99%

“…For five and more particles the information becomes very scarce. A novel study claiming universality for ground states of a Van der Waals potential has appeared for particle numbers less than 40 [22]. The critical mass is found as a substitute for the critical strength, but the computed radii at threshold cannot be reliably extracted.…”

Section: Introductionmentioning

confidence: 99%

Universality of Brunnian (N-body Borromean) four- and five-body systems

2010

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We compute binding energies and root-mean-square radii for weakly bound systems of N = 4 and 5 identical bosons. Ground and first excited states of an N -body system appear below the threshold for binding the system with N − 1 particles. Their root-mean-square radii approach constants in the limit of weak binding. Their probability distributions are on average located in nonclassical regions of space which result in universal structures. Radii decrease with increasing particle number. The ground states for more than five particles are probably nonuniversal, whereas excited states may be universal.

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“…First, atomic gases provide an ideal platform for investigating phenomena related to Efimov physics [1][2][3]. While the majority of investigations of the Efimov effect have focused on the three-body system, larger systems have attracted considerable attention recently from theoretical and experimental groups [4][5][6][7][8][9][10][11][12][13][14][15]. Second, small trapped atomic systems can be realized by loading an atomic gas into an optical lattice [16][17][18][19].…”

Section: Introductionmentioning

confidence: 99%

Trapped two-component Fermi gases with up to six particles: Energetics, structural properties, and molecular condensate fraction

Blume¹,

Daily²

2011

Comptes Rendus. Physique

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We investigate small equal-mass two-component Fermi gases under external spherically symmetric confinement in which atoms with opposite spins interact through a short-range two-body model potential. We employ a non-perturbative microscopic framework, the stochastic variational approach, and determine the system properties as functions of the interspecies s-wave scattering length as, the orbital angular momentum L of the system, and the numbers N1 and N2 of spin-up and spin-down atoms (with N1 − N2 = 0 or 1 and N ≤ 6, where N = N1 + N2). At unitarity, we determine the energies of the five-and six-particle systems for various ranges r0 of the underlying two-body model potential and extrapolate to the zero-range limit. These energies serve as benchmark results that can be used to validate and assess other numerical approaches. We also present structural properties such as the pair distribution function and the radial density. Furthermore, we analyze the one-body and two-body density matrices. A measure for the molecular condensate fraction is proposed and applied. Our calculations show explicitly that the natural orbitals and the momentum distributions of atomic Fermi gases approach those characteristic for a molecular Bose gas if the s-wave scattering length as, as > 0, is sufficiently small.

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Energetics and structural properties of three-dimensional bosonic clusters near threshold

Cited by 61 publications

References 58 publications

Convergence properties of the effective theory for trapped bosons

Convergence properties of the effective theory for trapped bosons

Universality of Brunnian (N-body Borromean) four- and five-body systems

Trapped two-component Fermi gases with up to six particles: Energetics, structural properties, and molecular condensate fraction

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