Pairing of a few Fermi atoms in one dimension

D'Amico, Pino; Rontani, Massimo

doi:10.1103/physreva.91.043610

Cited by 32 publications

(52 citation statements)

References 71 publications

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“…What is more, footprints of correlated pairs have been recently found experimentally in the ultra-cold system of a few 6 Li atoms confined in the almost perfect one-dimensional harmonic trap [13]. These experimental findings are consistent with the theoretical description in terms of the Cooper pairing mechanism [14][15][16].…”

Section: Introductionsupporting

confidence: 81%

Unconventional pairing in one-dimensional systems of a few mass-imbalanced ultracold fermions

Łydżba

Sowiński

2020

Phys. Rev. A

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We study the ground-state properties of a two-component fermionic mixture effectively confined in a one-dimensional harmonic trap. We consider scenarios when numbers of particles in components are the same but particles have different masses. We examine whether it is possible to detect signatures of an unconventional pairing between opposite-spin fermions in the presence of attractive interactions. For this purpose, we perform the exact diagonalization of the many-body Hamiltonian and study the two-particle reduced density matrix. In agreement with expectations, we confirm that the many-body ground state is dominated by conventional pairs with a negligible total momentum for a small mass imbalance. Furthermore, we show that for sufficiently large mass ratios the domination of fundamentally different pairs is established and the Fulde-Ferrel-Larkin-Ovchinnikov phase is supported. Finally, we argue that the two mechanisms can coexist in the regime of moderate mass ratios. In view of the current experimental progress in obtaining ultra-cold fermionic systems in a few-body regime, our predictions can be validated in the state-of-the-art experiments.arXiv:1911.04188v1 [cond-mat.quant-gas]

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Section: Introductionsupporting

confidence: 81%

Unconventional pairing in one-dimensional systems of a few mass-imbalanced ultracold fermions

Łydżba

Sowiński

2020

Phys. Rev. A

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“…We believe that the main source of disagreement in the second case comes from the perturbed character of the 1D harmonic shape of the trap during measurements and an approximate determination of the interaction strength in the experiment [33]. Indeed, the results of the calculations with a smaller (in the absolute value) interaction strength g are in a much better agreement for both even and odd values of N, as it has also recently been shown by the authors of [54].…”

Section: Comparison With the Available Experimental Datamentioning

confidence: 57%

Many interacting fermions in a one-dimensional harmonic trap: a quantum-chemical treatment

et al. 2015

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We use quantum information measures to study the local quantum phase transition that occurs for trapped spinless fermions in one-dimensional lattices. We focus on the case of a harmonic confinement. The transition occurs upon increasing the characteristic density and results in the formation of a band-insulating domain in the center of the trap. We show that the ground-state bipartite entanglement entropy can be used as an order parameter to characterize this local quantum phase transition. We also study excited eigenstates by calculating the average von Neumann and second Renyi eigenstate entanglement entropies, and compare the results with the thermodynamic entropy and the mutual information of thermal states at the same energy density. While at low temperatures we observe a linear increase of the thermodynamic entropy with temperature at all characteristic densities, the average eigenstate entanglement entropies exhibit a strikingly different behavior as functions of temperature below and above the transition. They are linear in temperature below the transition but exhibit activated behavior above it. Hence, at nonvanishing energy densities above the ground state, the average eigenstate entanglement entropies carry fingerprints of the local quantum phase transition.

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“…That richness of potential behaviour has triggered the appearance of many theoretical studies devoted to those systems [7][8][9][10][11][12][13][14][15][16][17], all of them having in common the use of numerical approximations to the solution of the following strictly one-dimensional (1D) Hamiltonian:…”

Section: Introductionmentioning

confidence: 99%

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

2016

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By using a diffusion Monte Carlo (DMC) technique, we studied the behaviour of a mixture of spin-up and spin-down cold fermionic atoms confined in one-dimensional harmonic potentials. We considered only small balanced clusters (up to eight atoms) or arrangements in which the difference between the population of fermions with different spins is one (with a maximum total number of nine). The atom-atom interactions were modeled by a contact repulsive potential. We focused on the ordering of the confined fermions, finding that the probability of having a pure antiferromagnetic arrangement of atoms decreases strongly with the number of fermions, as to be almost negligible for our largest clusters. Exactly the same can be said of a pure ferromagnetic state.

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Pairing of a few Fermi atoms in one dimension

Cited by 32 publications

References 71 publications

Unconventional pairing in one-dimensional systems of a few mass-imbalanced ultracold fermions

Unconventional pairing in one-dimensional systems of a few mass-imbalanced ultracold fermions

Many interacting fermions in a one-dimensional harmonic trap: a quantum-chemical treatment

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

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