Coupled-pair approach for strongly interacting trapped fermionic atoms

Bradly, C. J.; Mulkerin, Brendan C.; Martin, A. M.; Quiney, Harry M.

doi:10.1103/physreva.90.023626

Cited by 6 publications

(17 citation statements)

References 35 publications

(62 reference statements)

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“…(b) To deal with the introduction of a fourth particle, we look at the relative motion of two pairs through zij and z kl , and additionally, the relative motion between their two centres of mass through z ij kl (see also Ref. [28]). After taking the boundary condition, we are left with two motional degrees of freedom.…”

Section: Three-body Problemmentioning

confidence: 99%

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

et al. 2017

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We conduct a theoretical study of SU(N ) fermions confined by a one-dimensional harmonic potential. Firstly, we introduce a numerical approach for solving the trapped interacting few-body problem, by which one may obtain accurate energy spectra across the full range of interaction strengths. In the strong-coupling limit, we map the SU(N ) Hamiltonian to a spin-chain model. We then show that an existing, extremely accurate ansatz − derived for a Heisenberg SU(2) spin chain − is extendable to these N -component systems. Lastly, we consider balanced SU(N ) Fermi gases that have an equal number of particles in each spin state for N = 2, 3, 4. In the weak-and strong-coupling regimes, we find that the ground-state energies rapidly converge to their expected values in the thermodynamic limit with increasing atom number. This suggests that the many-body energetics of N -component fermions may be accurately inferred from the corresponding few-body systems of N distinguishable particles. arXiv:1707.07781v2 [cond-mat.quant-gas] 1 May 2018

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Section: Three-body Problemmentioning

confidence: 99%

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

et al. 2017

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“…For N = 3 dipolar bosons, we employ the coupledpair approach [34] with the global vector representation. The relative coordinates are x 1 = (r 1 − r 2 )/ √ 2 and…”

Section: Results For N =mentioning

confidence: 99%

“…With r c given, we can use the scattering results to consistently determine the strength of the DDI. At the other end of the scale, the long-ranged nature of the interaction means that a ho is not as hard an upper limit as for the unitary two-component Fermi system [34], where the SVM would optimize the gaussian widths to α i /a ho 1.1, reflecting that a ho was the largest physical correlation in the problem. For dipolar particles, we still insist that α i a ho would violate the idea that the particles have low energy, but even for small D/a ho it is necessary to allow the widths up to α i /a ho ≈ 3.…”

Section: Trapped Dipolar Bosonsmentioning

confidence: 99%

Analysis of two and three dipolar bosons in a spherical harmonic trap

2016

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As dipolar gases become more readily accessible in experiment there is a need to develop a comprehensive theoretical framework of the few-body physics of these systems. Here, we extend the coupled-pair approach developed for the unitary two-component Fermi gas to a few-body system of dipolar bosons in a spherical harmonic trap. The long range and anisotropy of the dipole-dipole interaction is handled by a flexible and efficient correlated gaussian basis with stochastically variational optimization. Solutions of the two-body problem are used to calculate the eigenenergy spectrum and structural properties of three trapped bosonic dipoles. This demonstrates the efficiency and flexibility of the coupled-pair approach at dealing with systems with complex interactions.

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“…The study of harmonically trapped few-body systems with contact interactions [5][6][7][8][9][10][11] has previously been used to gain insight into the thermodynamic properties of quantum gases [12][13][14][15][16][17][18][19][20][21], particularly in the strongly interacting regime, and have been experimentally studied in their own right [14]. In this paper we focus using the solutions for two interacting atoms in a harmonic trap [5], a regime which is experimentally achievable [2,4], to determine the quench dynamics of such a system.…”

Section: Introductionmentioning

confidence: 99%

Two-body quench dynamics of harmonically trapped interacting particles

Kerin

Martin

2020

Phys. Rev. A

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We consider the quantum evolution of a pair of interacting atoms in a three dimensional isotropic trap where the interaction strength is quenched from one value to another. Using exact solutions of the static problem we are able to evaluate time-dependent observables such as the overlap between initial and final states and the expectation value of the separation between the two atoms. In the case where the interaction is quenched from the non-interacting regime to the strongly interacting regime, or vice versa, we are able to obtain analytic results. Examining the overlap between the initial and final states we show that when the interaction is quenched from the non-interacting to strongly interacting regimes the early time dependence is ∝ 1 − αt 3/2 which is consistent with theoretical work in the untrapped single impurity many-body limit.

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Coupled-pair approach for strongly interacting trapped fermionic atoms

Cited by 6 publications

References 35 publications

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

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

Analysis of two and three dipolar bosons in a spherical harmonic trap

Two-body quench dynamics of harmonically trapped interacting particles

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