Pairing of one-dimensional Bose-Fermi mixtures with unequal masses

Rizzi, Matteo; Imambekov, Adilet

doi:10.1103/physreva.77.023621

Cited by 43 publications

(44 citation statements)

References 53 publications

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“…This picture has been, for instance, proposed at large interaction and low-density limit [50]. Bose-Fermi mixtures of 1D models have extensively studied in recent years [17,20,21,23,24,26,27,[51][52][53][54] and a similar picture emerges in certain regimes of three-component Fermi-gases [55]. When |U | is large, ↑ and ↓ fermions naturally form onsite pairs which are effectively hard-core bosons which we label b.…”

Section: Phenomenological Bose-fermi Picture At Large |U|mentioning

confidence: 96%

Multimer formation in one-dimensional two-component gases and trimer phase in the asymmetric attractive Hubbard model

2011

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We consider two-component one-dimensional quantum gases at special imbalanced commensurabilities which lead to the formation of multimer (multiparticle bound-states) as the dominant order parameter. Luttinger liquid theory supports a mode-locking mechanism in which mass (or velocity) asymmetry is identified as the key ingredient to stabilize such states. While the scenario is valid both in the continuum and on a lattice, the effects of umklapp terms relevant for densities commensurate with the lattice spacing are also mentioned. These ideas are illustrated and confronted with the physics of the asymmetric (mass-imbalanced) fermionic Hubbard model with attractive interactions and densities such that a trimer phase can be stabilized. Phase diagrams are computed using density-matrix renormalization group techniques, showing the important role of the total density in achieving the latter phase. The effective physics of the trimer gas is studied as well. Last, the effect of a parabolic confinement and the emergence of a crystal phase of trimers are briefly addressed. This model has connections with the physics of imbalanced two-component fermionic gases and Bose-Fermi mixtures as the latter gives a good phenomenological description of the numerics in the strong-coupling regime.

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Section: Phenomenological Bose-fermi Picture At Large |U|mentioning

confidence: 96%

Multimer formation in one-dimensional two-component gases and trimer phase in the asymmetric attractive Hubbard model

2011

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“…Here m B , m F are boson and fermion masses, V B (x), V F (x) are external potentials, and g BB , g BF are the effective 1D Bose-Bose and Bose-Fermi interaction parameters, which can be tuned experimentally [14,37]. The Fermi-Fermi interaction is not considered because the Pauli exclusion principle suppresses the contact s-wave scattering and their p-wave scattering can be neglected.…”

Section: Theory a Kohn-sham Equationsmentioning

confidence: 99%

Density-functional theory for one-dimensional harmonically trapped Bose-Fermi mixture

2012

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We present a density-functional theory for the one dimensional harmonically trapped Bose-Fermi mixture with repulsive contact interactions. The ground state density distribution of each component is obtained by solving the Kohn-Sham equations numerically based on the Local Density Approximation and the exact solution for the homogeneous system given by Bethe ansatz method. It is shown that for strong enough interaction, a considerable amount of fermions are repelled out of the central region of the trap, exhibiting partial phase separation of Bose and Fermi components. Oscillations emerge in the Bose density curves reflecting the strong correlation with Fermions. For infinite strong interaction, the ground state energy of the mixture and the total density are consistent with the scenario that all atoms in the mixture are fully fermionized.

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“…Such a lattice is experimentally realizable and has already been used to explore the 1D-3D crossover in a Bose gas [11]. While strictly 1D BF mixtures have been investigated extensively in several theoretical works [12,13,14,15,16,17,18,19,20], the novelty of our approach is to allow a finite hopping between tubes, thus preserving the true long-range order of condensed phases as found in 3D, while still maintaining the advantages of a 1D system. In particular, 3-body recombination should be greatly reduced, perhaps even more than in a BF mixture confined to a 3D optical lattice (see, e.g., [21]), since its rate vanishes for shortranged interactions in the 1D limit [22].…”

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confidence: 99%

Stability and Pairing in Quasi-One-Dimensional Bose-Fermi Mixtures

2009

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We consider a mixture of single-component bosonic and fermionic atoms in an array of coupled one-dimensional "tubes". For an attractive Bose-Fermi interaction, we show that the system exhibits phase separation instead of the usual collapse. Moreover, above a critical inter-tube hopping, all firstorder instabilities disappear in both attractive and repulsive mixtures. The possibility of suppressing instabilities in this system suggests a route towards the realization of paired phases, including a superfluid of p-wave pairs unique to the coupled-tube system, and quantum critical phenomena.PACS numbers: 67.85. Pq, 03.75.Hh, 64.70.Tg Recently, heteronuclear resonances in mixtures of bosonic and fermionic ultracold atoms have attracted noticeable theoretical and experimental interest, due to the possibility of generating and exploring novel quantum phenomena in a controllable manner. For example, by varying the interaction in a Bose-Fermi (BF) mixture, one can, in principle, observe a quantum phase transition from a Bose-Einstein condensate (BEC) to a normal Fermi gas phase by binding bosons and fermions into fermionic molecules [1,2]. Indeed, this feature has already been exploited to create deeply-bound, polar fermionic molecules [3]. However, the single biggest impediment to realizing such novel phenomena in BF mixtures is substantial inelastic collisions. The situation is particularly severe on the attractive side of the heteronuclear resonance, where a collapse of the cloud has been observed [4,5], resulting in a sudden loss of atoms from three-body recombination. On the repulsive side of the resonance, an interaction-induced spatial separation of bosons and fermions [6,7] ensures that the atomic system is relatively stable [8,9]. However, if one sweeps through the resonance, the system once again suffers significant inelastic losses when molecules collide with atoms [10].In this Letter, we argue that many of these obstacles may be circumvented by embedding the mixture in a two-dimensional (2D) array of 1D tubes generated via an anisotropic optical lattice. Such a lattice is experimentally realizable and has already been used to explore the 1D-3D crossover in a Bose gas [11]. While strictly 1D BF mixtures have been investigated extensively in several theoretical works [12,13,14,15,16,17,18,19,20], the novelty of our approach is to allow a finite hopping between tubes, thus preserving the true long-range order of condensed phases as found in 3D, while still maintaining the advantages of a 1D system. In particular, 3-body recombination should be greatly reduced, perhaps even more than in a BF mixture confined to a 3D optical lattice (see, e.g., [21]), since its rate vanishes for shortranged interactions in the 1D limit [22]. Furthermore, we demonstrate using mean-field theory that, similarly to 1D [16] and contrary to expectation [14,20], there is no collapse in a quasi-1D attractive mixture. Crucially, we find that the hopping can be used to suppress firstorder instabilities in BF mixtures and, as such, it may...

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Pairing of one-dimensional Bose-Fermi mixtures with unequal masses

Cited by 43 publications

References 53 publications

Multimer formation in one-dimensional two-component gases and trimer phase in the asymmetric attractive Hubbard model

Multimer formation in one-dimensional two-component gases and trimer phase in the asymmetric attractive Hubbard model

Density-functional theory for one-dimensional harmonically trapped Bose-Fermi mixture

Stability and Pairing in Quasi-One-Dimensional Bose-Fermi Mixtures

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