Energy, contact, and density profiles of one-dimensional fermions in a harmonic trap via nonuniform-lattice Monte Carlo calculations

Berger, Casey; Anderson, E. R.; Drut, Joaquín E.

doi:10.1103/physreva.91.053618

Cited by 21 publications

(15 citation statements)

References 48 publications

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“…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%

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: 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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“…Complementary studies for attractively interacting system confined in a box potential were presented in [307,308]. Here, based on the Monte Carlo calculations in the real space, the authors explored different properties of the system.…”

Section: H Attractive Forcesmentioning

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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“…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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Energy, contact, and density profiles of one-dimensional fermions in a harmonic trap via nonuniform-lattice Monte Carlo calculations

Cited by 21 publications

References 48 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

One-dimensional mixtures of several ultracold atoms: a review

Thermodynamics of rotating quantum matter in the virial expansion

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