Quantum Monte Carlo approaches to nuclear and atomic physics

Alexandros Gezerlis; J. Carlson; Stefano Gandolfi

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Quantum Monte Carlo approaches to nuclear and atomic physics

J. Carlson, Stefano Gandolfi, Alexandros Gezerlis

Nuclear Theory · Submitted 24 Oct 2012

abstract compiled · 2026-09-23 · no language-model review

The authors' main claim There are close analogies between these seemingly diverse systems, including the equation of state, superfluid pairing, and linear response to external probes.

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arXiv ID1210.6659 (version 1)

Pith IDJG4O4R3E, Pith's permanent record of this paper and its review

CitationAlexandros Gezerlis, J. Carlson, Stefano Gandolfi. "Quantum Monte Carlo approaches to nuclear and atomic physics." arXiv:1210.6659 (2012). https://pith.science/paper/JG4O4R3E

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The paper's own sentences, arranged. Each label is drawn from a closed vocabulary; the number beside it is the probability the classifier gave that label. Numbers in the tables are the authors', checked by code. No sentence in this record was written by a model.

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Compiled by classifier-1.13-20260917 via OpenRouter, question bank abstract-p1-20260923, 2026-09-23: 1 request, 5,627 input tokens, $0.0002 reported.

What the abstract itself states, as probabilities: claims first 0.03 · states limitation 0.06 · human participants 0.01 · controlled comparison 0.12 · randomized assignment 0.01 · states quantitative result 0.10 · compares with prior results 0.79 · mentions code or data availability 0.02.

The abstract, sentence by sentence

arXiv listing abstract v1. Results and the main claim are underlined; show every role.

Quantum Monte Carlo methods have proven to be valuable in the study of strongly correlated quantum systems, particularly nuclear physics and cold atomic gases. Historically, such ab initio simulations have been used to study properties of light nuclei, including spectra and form factors, low-energy scattering, and high-momentum properties including inclusive scattering and one- and two-body momentum distributions. More recently they have been used to study the properties of homogeneous and inhomogeneous neutron matter and cold atomic gases. There are close analogies between these seemingly diverse systems, including the equation of state, superfluid pairing, and linear response to external probes. In this paper, we compare and contrast results found in nuclear and cold atom physics. We show updated lattice results for the energy of the homogeneous unitary Fermi gas and comparisons with neutron matter, as well as for the dependence of the cold atom energy on the mass ratio between paired particles, which yields insights on the structure of the ground state. We also provide new lattice and continuum results for the harmonically trapped unitary gas, again comparing neutron matter and cold atoms.

background contribution method result interpretation main claim

What the classifier reports for each sentence. The number is the probability it gave the label.
#	sentence	role	the authors' own work	states the main conclusion	strength
s0	Quantum Monte Carlo methods have proven to be valuable in the study of strongly correlated quantum systems, particularly nuclear physics and cold atomic gases.	background 1.00	0.06	0.04	asserted 1.00
s1	Historically, such ab initio simulations have been used to study properties of light nuclei, including spectra and form factors, low-energy scattering, and high-momentum properties including inclusive scattering and one- and two-body momentum distributions.	background 1.00	0.08	0.02	asserted 1.00
s2	More recently they have been used to study the properties of homogeneous and inhomogeneous neutron matter and cold atomic gases.	background 0.99	0.18	0.03	asserted 1.00
s3	There are close analogies between these seemingly diverse systems, including the equation of state, superfluid pairing, and linear response to external probes.	background 0.98	0.07	0.06	asserted 1.00
s4	In this paper, we compare and contrast results found in nuclear and cold atom physics.	contribution 1.00	0.63	0.07	asserted 0.89
s5	We show updated lattice results for the energy of the homogeneous unitary Fermi gas and comparisons with neutron matter, as well as for the dependence of the cold atom energy on the mass ratio between paired particles, which yields insights on the structure of the ground state.	contribution 0.52	0.94	0.28	asserted 1.00
s6	We also provide new lattice and continuum results for the harmonically trapped unitary gas, again comparing neutron matter and cold atoms.	contribution 0.94	0.95	0.10	asserted 1.00

What kind of paper the classifier reports this is: simulation study 0.99 · evidence from simulation or computation 1.00.

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arXiv listing abstract v1

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The paper

Original abstract

Quantum Monte Carlo methods have proven to be valuable in the study of strongly correlated quantum systems, particularly nuclear physics and cold atomic gases. Historically, such ab initio simulations have been used to study properties of light nuclei, including spectra and form factors, low-energy scattering, and high-momentum properties including inclusive scattering and one- and two-body momentum distributions. More recently they have been used to study the properties of homogeneous and inhomogeneous neutron matter and cold atomic gases. There are close analogies between these seemingly diverse systems, including the equation of state, superfluid pairing, and linear response to external probes. In this paper, we compare and contrast results found in nuclear and cold atom physics. We show updated lattice results for the energy of the homogeneous unitary Fermi gas and comparisons with neutron matter, as well as for the dependence of the cold atom energy on the mass ratio between paired particles, which yields insights on the structure of the ground state. We also provide new lattice and continuum results for the harmonically trapped unitary gas, again comparing neutron matter and cold atoms.

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References

Forward citations

Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

Study of the $\Lambda$-$\Lambda$ interaction with femtoscopy correlations in pp and p-Pb collisions at the LHC
nucl-ex 2019-05 conditional novelty 5.0 of 10

Lambda-Lambda femtoscopy in pp and p-Pb collisions constrains the scattering parameters and, conditional on a bound state, gives a binding energy of about 3.2 MeV.
Covariant approximation averaging
hep-lat 2014-02 accept novelty 5.0 of 10

Averaging cheap approximate Dirac inversions over symmetry-related source points, then correcting with one exact solve, cuts statistical errors in lattice QCD correlation functions by up to an order of magnitude at fi...

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10 arXiv papers cite this in 11 sentences

Each citing sentence is taken from the citing paper's LaTeX source and typed by Pith's classifier. A label appears at probability 0.8 or more (0.95 for support), a contest at 0.7 or more; the quoted words are the citing authors'. How each label was checked · JSON

Papers citing it · 5 sentences without a confident label

Cites it as background 6 papers

In parallel, there have also been ab initio approaches that determine the gap using Quantum Monte Carlo (QMC) simulations [ref] .

Universal corrections to the superfluid gap in a cold Fermi gas · Introduction · 0.82
Simultaneous progress in numerical simulation [ref] , coupled with increased access to high-performance computing, has been occurring in parallel with the experimental developments.

Toward precision Fermi liquid theory in two dimensions · Introduction · 0.93
(Dilute neutron matter is well approximated [ref] by the same UFG produced in cold-atom experiments [ref] .) Pinning may also occur on flux tubes [ref] or due to vortex tangles [ref] .

Strength of the Vortex-Pinning Interaction from Real-Time Dynamics · Introduction · 0.80

What it cites · 3 sentences without a confident label

Uses data or values from 1 paper

More recent DMC results for a variety of interactions have recently appeared, [ref] they find $S = 0.127(4)$ using a variety of interactions.

Effective-Range Dependence of Resonantly Interacting Fermions · Equation of State: effective range · 0.94

Cites as support 1 paper

These calculations further demonstrate that $S$ is a universal parameter, as originally conjectured in the original version of Ref. [ref] .

General relations for quantum gases in two and three dimensions. Two-component fermions · Equation of State: effective range · 0.96

Cites as background 1 paper

[ref] These and future results will be very interesting as they can tell us about the propagation of particles and spin in the unitary gas.

Dynamic spin response of a strongly interacting Fermi gas · Short-range physics · 0.84

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