General relations for quantum gases in two and three dimensions. II. Bosons and mixtures

Werner, Félix; Castin, Yvan

doi:10.1103/physreva.86.053633

Cited by 125 publications

(146 citation statements)

References 60 publications

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“…These relations were subsequently confirmed in experiments on two-component Fermi gases [4,5]. They also hold for bosonic gases [6][7][8][9][10] as confirmed by recent experiments [11]. In the case of two-component fermions, the Pauli principle suppresses correlations between three particles.…”

Section: Introductionsupporting

confidence: 53%

Dimensional effects on the momentum distribution of bosonic trimer states

Bellotti¹,

Frederico²,

Yamashita³

et al. 2013

Phys. Rev. A

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The momentum distribution is a powerful probe of strongly interacting systems that are expected to display universal behavior. This is contained in the contact parameters which relate few-and many-body properties. Here we consider a Bose gas in two dimensions and explicitly show that the two-body contact parameter is universal and then demonstrate that the momentum distribution at next-to-leading order has a logarithmic dependence on momentum which is vastly different from the three-dimensional case. Based on this, we propose a scheme for measuring the effective dimensionality of a quantum many-body system by exploiting the functional form of the momentum distribution.

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Section: Introductionsupporting

confidence: 53%

Dimensional effects on the momentum distribution of bosonic trimer states

Bellotti¹,

Frederico²,

Yamashita³

et al. 2013

Phys. Rev. A

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“…The derivative of the polaron binding energy with respect to the inverse scattering length b should also be related to C [37]. From the behavior in the |b|/a 1 regime one finds This result is shown in Fig.…”

Section: Contact Parametermentioning

confidence: 72%

Impurity in a Bose-Einstein condensate: Study of the attractive and repulsive branch using quantum Monte Carlo methods

2015

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We investigate the properties of an impurity immersed in a dilute Bose gas at zero temperature using quantum Monte Carlo methods. The interactions between bosons are modeled by a hard-sphere potential with scattering length a, whereas the interactions between the impurity and the bosons are modeled by a short-range, square-well potential where both the sign and the strength of the scattering length b can be varied by adjusting the well depth. We characterize the attractive and the repulsive polaron branch by calculating the binding energy and the effective mass of the impurity. Furthermore, we investigate the structural properties of the bath, such as the impurity-boson contact parameter and the change of the density profile around the impurity. At the unitary limit of the impurity-boson interaction, we find that the effective mass of the impurity remains smaller than twice its bare mass, while the binding energy scales with 2 n 2/3 /m, where n is the density of the bath and m is the common mass of the impurity and the bosons in the bath. The implications for the phase diagram of binary Bose-Bose mixtures at low concentrations are also discussed.

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“…This provides a strong connection between the few-body quantities and many-body observables, a connection that has by now been experimentally verified [7,8]. The relations are not particular to the unitary Fermi gas but may also be applied to bosons [9][10][11][12][13][14] as another recent experimental effort has confirmed [15].…”

Section: Introductionmentioning

confidence: 93%

Single-particle momentum distributions of Efimov states in mixed-species systems

et al. 2013

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We solve the three-body bound-state problem in three dimensions for mass imbalanced systems of two identical bosons and a third particle in the universal limit where the interactions are assumed to be of zero range. The system displays the Efimov effect and we use the momentum-space wave equation to derive formulas for the scaling factor of the Efimov spectrum for any mass ratio assuming either that two or three of the two-body subsystems have a bound state at zero energy. We consider the single-particle momentum distribution analytically and numerically and analyze the tail of the momentum distribution to obtain the three-body contact parameter. Our findings demonstrate that the functional form of the three-body contact term depends on the mass ratio, and we obtain an analytic expression for this behavior. To exemplify our results, we consider mixtures of lithium with either two caesium or rubidium atoms which are systems of current experimental interest.

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General relations for quantum gases in two and three dimensions. II. Bosons and mixtures

Cited by 125 publications

References 60 publications

Dimensional effects on the momentum distribution of bosonic trimer states

Dimensional effects on the momentum distribution of bosonic trimer states

Impurity in a Bose-Einstein condensate: Study of the attractive and repulsive branch using quantum Monte Carlo methods

Single-particle momentum distributions of Efimov states in mixed-species systems

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