Hard-wall and non-uniform lattice Monte Carlo approaches to one-dimensional Fermi gases in a harmonic trap

Berger, Casey; Drut, Joaquín E.; Porter, William

doi:10.1016/j.cpc.2016.08.005

Cited by 7 publications

(6 citation statements)

References 25 publications

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“…[21]). Compared to systems with periodic boundary conditions, however, the computational cost at fixed system size for studies involving such trapping geometries has been found to increase [20,22] in case of our present MC approach.…”

Section: Introductionmentioning

confidence: 86%

“…A rigorous proof of this observation for general boundary conditions and observables is difficult, if possible at all. In any case, for a quantitative comparison with experimental data in the future (in particular with respect to the few-body limit), the numerical implementation of trap potentials [19,20] as used in experiments will be required. For example, harmonic traps are often considered in 1D experiments [16].…”

Section: Introductionmentioning

confidence: 99%

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Evolution from few- to many-body physics in one-dimensional Fermi systems: One- and two-body density matrices and particle-partition entanglement

et al. 2017

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We study the evolution from few-to many-body physics of fermionic systems in one spatial dimension with attractive pairwise interactions. We determine the detailed form of the momentum distribution, the structure of the one-body density matrix, and the pairing properties encoded in the two-body density matrix. From the low-and high-momentum scaling behavior of the singleparticle momentum distribution we estimate the speed of sound and Tan's contact, respectively. Both quantities are found to be in agreement with previous calculations. Based on our calculations of the one-body density matrices, we also present results for the particle-partition entanglement entropy, for which we find a logarithmic dependence on the total particle number.

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Section: Introductionmentioning

confidence: 86%

Section: Introductionmentioning

confidence: 99%

Evolution from few- to many-body physics in one-dimensional Fermi systems: One- and two-body density matrices and particle-partition entanglement

et al. 2017

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“…In this work we use the same quadrature points and weights as in our previous work of Refs. [29][30][31].…”

Section: Gaussian Quadraturementioning

confidence: 99%

Thermodynamics of rotating quantum matter in the virial expansion

Berger,

Morrell,

Drut

2020

Preprint

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We characterize the high-temperature thermodynamics of rotating bosons and fermions in two-(2D) and three-dimensional (3D) isotropic harmonic trapping potentials. We begin by calculating analytically the conventional virial coefficients bn for all n in the noninteracting case, as functions of the trapping and rotational frequencies. We also report on the virial coefficients for the angular momentum and associated moment of inertia. Using the bn coefficients, we analyze the deconfined limit (in which the angular frequency matches the trapping frequency) and derive explicitly the limiting form of the partition function, showing from the thermodynamic standpoint how both the 2D and 3D cases become effectively homogeneous 2D systems. To tackle the virial coefficients in the presence of weak interactions, we implement a coarse temporal lattice approximation and obtain virial coefficients up to third order.

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“…In this work, we use the same quadrature points and weights as in our previous work of Refs. [33][34][35].…”

Section: Gaussian Quadraturementioning

confidence: 99%

Thermodynamics of rotating quantum matter in the virial expansion

2020

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We characterize the high-temperature thermodynamics of rotating bosons and fermions in two-dimensional (2D) and three-dimensional (3D) isotropic harmonic trapping potentials. We begin by calculating analytically the conventional virial coefficients b n for all n in the noninteracting case, as functions of the trapping and rotational frequencies. We also report on the virial coefficients for the angular momentum and associated moment of inertia. Using the b n coefficients, we analyze the deconfined limit (in which the angular frequency matches the trapping frequency) and derive explicitly the limiting form of the partition function, showing from the thermodynamic standpoint how both the 2D and 3D cases become effectively homogeneous 2D systems. To tackle the virial coefficients in the presence of weak interactions, we implement a coarse temporal lattice approximation and obtain virial coefficients up to third order.

show abstract

Hard-wall and non-uniform lattice Monte Carlo approaches to one-dimensional Fermi gases in a harmonic trap

Cited by 7 publications

References 25 publications

Evolution from few- to many-body physics in one-dimensional Fermi systems: One- and two-body density matrices and particle-partition entanglement

Evolution from few- to many-body physics in one-dimensional Fermi systems: One- and two-body density matrices and particle-partition entanglement

Thermodynamics of rotating quantum matter in the virial expansion

Thermodynamics of rotating quantum matter in the virial expansion

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