Ordering in one-dimensional few-fermion clusters with repulsive interactions

Carbonell-Coronado, C.; Soto, F. De; Gordillo, M. C.

doi:10.1088/1367-2630/18/2/025015

Cited by 10 publications

(10 citation statements)

References 25 publications

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“…(2), the Slater determinants D α are built with the lowestenergy orbitals of the harmonic oscillator for each species α. The Jastrow term ψ (x α i − x β j ) is chosen as the two-body solution of the Schrödinger equation, without the harmonic potential [14][15][16][17][18],…”

Section: Methodsmentioning

confidence: 99%

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One-dimensional harmonically confined SU(N) fermions

2019

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We study the momentum distributions and spatial correlations of few harmonically confined SU(N) fermions using quantum Monte Carlo methods. In our study, we vary the spin degeneracy N from 2 to 6 and the total number of particles from 6 to 18. Only balanced mixtures, with the same number of atoms per spin type, and repulsive unlike-spin contact interactions are considered. Going from N = 2 to N = 6, with the same occupancy of each spin state, we observe an increase of atom-atom correlations. This effect is particularly significant in the momentum distributions, which show fatter tails at large k (kσ > 5, σ being the oscillator length) when N grows, in agreement with experimental findings. Those tails also show the expected k −4 decay related to the Tan contact for different values of the spin degeneracy. According to our results, the local spin ordering and the spin-spin correlations are mainly determined by N via the Pauli exclusion principle, with minor influences from the particle-particle interactions, irrespective of the total number of confined atoms.

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Section: Methodsmentioning

confidence: 99%

“…One-dimensional SU(N) Fermi mixtures (N > 2) can be studied using the same kind of Hamiltonian previously used in the literature for SU (2) [14][15][16][17][18]. Including harmonic confinement, it reads [8,9]…”

Section: Introductionmentioning

confidence: 99%

One-dimensional harmonically confined SU(N) fermions

2019

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“…That set of determinants assures us that this trial function has the nodes in the right positions, therefore the energy obtained will be the exact one within the statistical uncertainties associated to the method. The remaining part of equation (3) considers the correlation between unlike-spin particles via the Jastrow term: [12][13][14][15]21],…”

Section: Methodsmentioning

confidence: 99%

“…The basic idea is to study the differences in the behaviour of SU(6) and SU(2) clusters all other things (such as interaction parameters and total number of atoms) being equal. In line with previous works on SU (2) clusters [12][13][14][15][16], we write the Hamiltonian as:…”

Section: Introductionmentioning

confidence: 99%

One-dimensional SU(N) clusters of fermions in optical lattices

Gordillo

2019

New J. Phys.

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The behaviour of fermion clusters with SU(N) symmetry loaded in one-dimensional optical lattices and described by continuous Hamiltonians was studied using a diffusion Monte Carlo (DMC) technique. The state diagrams of SU(6) and SU(2) arrangements with the same number of particles were calculated and found virtually identical. The only difference was the absence of a band insulator in the SU(N) case in the range of optical lattice depths considered (V 0 =0-12 E R ; E R , recoil energy of the lattice) in the non-interacting limit for N>2. The appearance of that state was signalled by a noticeable change in the shape of the momentum distributions in going from a metal to a band insulator.

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“…Namely, the particles cannot exchange their positions and therefore their spatial order becomes fixed. Consequently, in the limit of infinite repulsions, the ground-state manifold is spanned by the many-body states of given order -each having appropriate modulations in the components densities [265,266]. In this limit, the Hamiltonian can be written as a sum of independent Hamiltonians acting in the subspaces of a given order.…”

Section: F Mixtures Close To Infinite Repulsionsmentioning

confidence: 99%

One-dimensional mixtures of several ultracold atoms: a review

Sowiński¹,

2019

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Recent theoretical and experimental progress on studying one-dimensional systems of bosonic, fermionic, and Bose-Fermi mixtures of a few ultracold atoms confined in traps is reviewed in the broad context of mesoscopic quantum physics. We pay special attention to limiting cases of very strong or very weak interactions and transitions between them. For bosonic mixtures, we describe the developments in systems of three and four atoms as well as different extensions to larger numbers of particles. We also briefly review progress in the case of spinor Bose gases of a few atoms. For fermionic mixtures, we discuss a special role of spin and present a detailed discussion of the two-and three-atom cases. We discuss the advantages and disadvantages of different computation methods applied to systems with intermediate interactions. In the case of very strong repulsion, close to the infinite limit, we discuss approaches based on effective spin chain descriptions. We also report on recent studies on higherspin mixtures and inter-component attractive forces. For both statistics, we pay particular attention to impurity problems and mass imbalance cases. Finally, we describe the recent advances on trapped Bose-Fermi mixtures, which allow for a theoretical combination of previous concepts, well illustrating the importance of quantum statistics and inter-particle interactions. Lastly, we report on fundamental questions related to the subject which we believe will inspire further theoretical developments and experimental verification. :1903.12189v3 [cond-mat.quant-gas] CONTENTS arXiv

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Ordering in one-dimensional few-fermion clusters with repulsive interactions

Cited by 10 publications

References 25 publications

One-dimensional harmonically confined SU(N) fermions

One-dimensional harmonically confined SU(N) fermions

One-dimensional SU(N) clusters of fermions in optical lattices

One-dimensional mixtures of several ultracold atoms: a review

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