Harmonically trapped fermions in two dimensions: Ground-state energy and contact of SU(2) and SU(4) systems via a nonuniform lattice Monte Carlo method

Luo, Zhihuan; Berger, Casey; Drut, Joaquín E.

doi:10.1103/physreva.93.033604

Cited by 7 publications

(8 citation statements)

References 84 publications

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“…We used the pairing function of Eq. (17), and N = 26, to calculate the ground-state energy per particle of the bulk systems. Our results (see Table I) are in agreement with previous DMC calculations [13].…”

Section: A Ground-state Energy and Size-effectsmentioning

confidence: 99%

“…The variational parameters [42] in Eqs. (17), (20), and (22) were determined using the stochastic reconfiguration method [43].…”

Section: Quantum Monte Carlomentioning

confidence: 99%

“…Quantum Monte Carlo (QMC) methods were successfully employed to compute several properties of the BEC-BCS crossover. These methods include diffusion Monte Carlo (DMC) [12,13], auxiliary-field quantum Monte Carlo [14], and lattice Monte Carlo [15][16][17]. The fact that a fully attractive potential in 2D always supports a bound state, and the ability to vary the interaction strength over the entire BEC-BCS crossover regime offers rich possibilities for the study of these systems.…”

Section: Introductionmentioning

confidence: 99%

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Core structure of two-dimensional Fermi gas vortices in the BEC-BCS crossover region

2017

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We report T = 0 diffusion Monte Carlo results for the ground-state and vortex excitation of unpolarized spin-1/2 fermions in a two-dimensional disk. We investigate how vortex core structure properties behave over the BEC-BCS crossover. We calculate the vortex excitation energy, density profiles, and vortex core properties related to the current. We find a density suppression at the vortex core on the BCS side of the crossover, and a depleted core on the BEC limit. Size-effect dependencies in the disk geometry were carefully studied.

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Section: A Ground-state Energy and Size-effectsmentioning

confidence: 99%

“…The variational parameters [42] in Eqs. (17), (20), and (22) were determined using the stochastic reconfiguration method [43].…”

Section: Quantum Monte Carlomentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Core structure of two-dimensional Fermi gas vortices in the BEC-BCS crossover region

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 contrast, theoretical research exploring the behavior of higher-spin systems has been less common (see, however, Refs. [12][13][14][15] for references on the 1D case).…”

Section: Introductionmentioning

confidence: 99%

Thermodynamics of one-dimensional SU(4) and SU(6) fermions with attractive interactions

et al. 2017

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Motivated by advances in the manipulation and detection of ultracold atoms with multiple internal degrees of freedom, we present a finite-temperature lattice Monte Carlo calculation of the density and pressure equations of state, as well as Tan's contact, of attractively interacting SU(4)-and SU(6)-symmetric fermion systems in one spatial dimension. We also furnish a nonperturbative proof of a universal relation whereby quantities computable in the SU(2) case completely determine the virial coefficients of the SU(N f ) case. These one-dimensional systems are appealing because they can be experimentally realized in highly constrained traps and because of the dominant role played by correlations. The latter are typically nonperturbative and are crucial for understanding ground states and quantum phase transitions. While quantum fluctuations are typically overpowered by thermal ones in one and two dimensions at any finite temperature, we find that quantum effects do leave their imprint in thermodynamic quantities. Our calculations show that the additional degrees of freedom, relative to the SU(2) case, provide a dramatic enhancement of the density and pressure (in units of their noninteracting counterparts) in a wide region around vanishing βµ, where β is the inverse temperature and µ the chemical potential. As shown recently in experiments, the thermodynamics we explore here can be measured in a controlled and precise fashion in highly constrained traps and optical lattices. Our results are a prediction for such experiments in one dimension with atoms of high nuclear spin.

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Harmonically trapped fermions in two dimensions: Ground-state energy and contact of SU(2) and SU(4) systems via a nonuniform lattice Monte Carlo method

Cited by 7 publications

References 84 publications

Core structure of two-dimensional Fermi gas vortices in the BEC-BCS crossover region

Core structure of two-dimensional Fermi gas vortices in the BEC-BCS crossover region

Thermodynamics of rotating quantum matter in the virial expansion

Thermodynamics of one-dimensional SU(4) and SU(6) fermions with attractive interactions

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