SU(
<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mi>N</mml:mi></mml:math>
) fermions in a one-dimensional harmonic trap

Laird, Emma K.; Shi, Zhe-Yu; Parish, Meera M.; Levinsen, Jesper

doi:10.1103/physreva.96.032701

Cited by 25 publications

(37 citation statements)

References 66 publications

(151 reference statements)

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“…Note the near-perfect overlap between the numerical results and the fits, as well as the fact that log 10 C l (x; T ) versus x γ(T ) exhibits a linear decrease when the appropriate value of γ(T ) is used; i.e., these plots make apparent that the ansatz in Eq. (32) provides an accurate description of the total one-body correlations at finite temperature.…”

Section: B Total One-body Correlationsmentioning

confidence: 99%

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Impenetrable SU(N) fermions in one-dimensional lattices

2018

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We study SU(N ) fermions in the limit of infinite on-site repulsion between all species. We focus on states in which every pair of consecutive fermions carries a different spin flavor. Since the particle order cannot be changed (because of the infinite on-site repulsion) and contiguous fermions have a different spin flavor, we refer to the corresponding constrained model as the model of distinguishable quantum particles. We introduce an exact numerical method to calculate equilibrium one-body correlations of distinguishable quantum particles based on a mapping onto noninteracting spinless fermions. In contrast to most many-body systems in one dimension, which usually exhibit either power-law or exponential decay of off-diagonal one-body correlations with distance, distinguishable quantum particles exhibit a Gaussian decay of one-body correlations in the ground state, while finite-temperature correlations are well described by stretched exponential decay.

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Section: B Total One-body Correlationsmentioning

confidence: 99%

“…[26] for a review). The latter possibility has motivated theoretical studies on spin chains and quantum gases beyond the more traditionally considered SU(2) case [27][28][29][30][31][32][33].…”

Section: Introductionmentioning

confidence: 99%

Impenetrable SU(N) fermions in one-dimensional lattices

2018

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“…This phenomenon allows the construction of an exact solution for any type of quantum mixture through a mapping onto a non-interacting spinless Fermi gas [12,[17][18][19][20][21]. The case of strong, but finite interactions can be numerically solved by using few-body techniques [22][23][24] or by mapping the system on an effective spin chain model [24,25].…”

Section: Introductionmentioning

confidence: 99%

Strongly correlated one-dimensional Bose–Fermi quantum mixtures: symmetry and correlations

et al. 2017

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We consider multi-component quantum mixtures (bosonic, fermionic, or mixed) with strongly repulsive contact interactions in a one-dimensional harmonic trap. In the limit of infinitely strong repulsion and zero temperature, using the class-sum method, we study the symmetries of the spatial wave function of the mixture. We find that the ground state of the system has the most symmetric spatial wave function allowed by the type of mixture. This provides an example of the generalized Lieb-Mattis theorem. Furthermore, we show that the symmetry properties of the mixture are embedded in the large-momentum tails of the momentum distribution, which we evaluate both at infinite repulsion by an exact solution and at finite interactions using a numerical DMRG approach. This implies that an experimental measurement of the Tan's contact would allow to unambiguously determine the symmetry of any kind of multi-component mixture.

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“…After a series of straightforward manipulations [63,64], and by recalling that the angular-momentum (l, m) quantum numbers are zero, we obtain a matrix equation in terms of the reduced wave functions: (20). It only remains to be shown how the nondiagonal kernel B E can be treated numerically, and the ensuing approach is inspired by Ref.…”

Section: Acknowledgmentsmentioning

confidence: 99%

“…i = 1 ε ni .To reduce the number of summation indices we follow the general methods introduced in our earlier works[63,64]. The idea is first to transform into the relative-motion frame and then to take the δ-function boundary condition on the wave function that the colliding particles, i and j, are superimposed on one another.…”

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confidence: 99%

Frustrated orbital Feshbach resonances in a Fermi gas

Laird¹,

Shi²,

Parish³

et al. 2020

Phys. Rev. A

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The orbital Feshbach resonance (OFR) is a novel scheme for magnetically tuning the interactions in closed-shell fermionic atoms. Remarkably, unlike the Feshbach resonances in alkali atoms, the open and closed channels of the OFR are only very weakly detuned in energy. This leads to a unique effect whereby a medium in the closed channel can Pauli block -or frustrate -the twobody scattering processes. Here, we theoretically investigate the impact of frustration in the fewand many-body limits of the experimentally accessible three-dimensional 173 Yb system. We find that by adding a closed-channel atom to the two-body problem, the binding energy of the ground state is significantly suppressed, and by introducing a closed-channel Fermi sea to the many-body problem, we can drive the system towards weaker fermion pairing. These results are potentially relevant to superconductivity in solid-state multiband materials, as well as to the current and continuing exploration of unconventional Fermi-gas superfluids near the OFR. arXiv:1908.04495v1 [cond-mat.quant-gas]

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SU( N ) fermions in a one-dimensional harmonic trap

Cited by 25 publications

References 66 publications

Impenetrable SU(N) fermions in one-dimensional lattices

Impenetrable SU(N) fermions in one-dimensional lattices

Strongly correlated one-dimensional Bose–Fermi quantum mixtures: symmetry and correlations

Frustrated orbital Feshbach resonances in a Fermi gas

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