Strongly paired fermions: Cold atoms and neutron matter

Alexandros Gezerlis; J. Carlson

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Strongly paired fermions: Cold atoms and neutron matter

Alexandros Gezerlis, J. Carlson

Nuclear Theory · Submitted 19 Nov 2007

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

The authors' main claim Results of quantum Monte Carlo calculations show that the equations of state are very similar.

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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, 4,287 input tokens, $0.0002 reported.

What the abstract itself states, as probabilities: claims first 0.03 · states limitation 0.32 · human participants 0.01 · controlled comparison 0.18 · randomized assignment 0.01 · states quantitative result 0.17 · compares with prior results 0.37 · mentions code or data availability 0.02.

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arXiv listing abstract v2. Results and the main claim are underlined; show every role.

Experiments with cold Fermi atoms can be tuned to probe strongly interacting fluids that are very similar to the low-density neutron matter found in the crusts of neutron stars. In contrast to traditional superfluids and superconductors, matter in this regime is very strongly paired, with gaps of the order of the Fermi energy. We compute the T=0 equation of state and pairing gap for cold atoms and low-density neutron matter as a function of the Fermi momentum times the scattering length. Results of quantum Monte Carlo calculations show that the equations of state are very similar. The neutron matter pairing gap at low densities is found to be very large but, except at the smallest densities, significantly suppressed relative to cold atoms because of the finite effective range in the neutron-neutron interaction.

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	Experiments with cold Fermi atoms can be tuned to probe strongly interacting fluids that are very similar to the low-density neutron matter found in the crusts of neutron stars.	background 1.00	0.09	0.08	asserted 0.57
s1	In contrast to traditional superfluids and superconductors, matter in this regime is very strongly paired, with gaps of the order of the Fermi energy.	background 0.98	0.09	0.08	asserted 1.00
s2	We compute the T=0 equation of state and pairing gap for cold atoms and low-density neutron matter as a function of the Fermi momentum times the scattering length.	contribution 0.94	0.95	0.10	asserted 0.97
s3	Results of quantum Monte Carlo calculations show that the equations of state are very similar.	result 1.00	0.86	0.33	asserted 1.00
s4	The neutron matter pairing gap at low densities is found to be very large but, except at the smallest densities, significantly suppressed relative to cold atoms because of the finite effective range in the neutron-neutron interaction.	result 1.00	0.95	0.52	asserted 1.00

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

What was examined, and what was not

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arXiv listing abstract v2

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full text
figures and tables
references and citing sentences
relations to other papers

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P abstract

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S sections
T body sentences
C citations
R cross-paper relations

Every quoted sentence on this record is the authors'. Every label is from Pith's closed vocabulary, with the probability shown beside it. Every number in the measurements table is the authors', checked by code. Record as JSON

The paper

Original abstract

Experiments with cold Fermi atoms can be tuned to probe strongly interacting fluids that are very similar to the low-density neutron matter found in the crusts of neutron stars. In contrast to traditional superfluids and superconductors, matter in this regime is very strongly paired, with gaps of the order of the Fermi energy. We compute the T=0 equation of state and pairing gap for cold atoms and low-density neutron matter as a function of the Fermi momentum times the scattering length. Results of quantum Monte Carlo calculations show that the equations of state are very similar. The neutron matter pairing gap at low densities is found to be very large but, except at the smallest densities, significantly suppressed relative to cold atoms because of the finite effective range in the neutron-neutron interaction.

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References

Forward citations

Cited by 4 Pith papers

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

NS 1987A: A Potential Probe of Crustal Superfluidity with Future X-ray Observations
astro-ph.HE 2026-11 conditional novelty 5.0 of 10

Future X-ray detection of NS 1987A around 2047 can distinguish weak from strong crustal superfluidity by comparing the observed thermal luminosity with the thermal relaxation timescale.
Superfluidity in nuclear systems and neutron stars
nucl-th 2018-01 accept novelty 3.0 of 10

Neutron-star interiors host three distinct superfluid condensates (neutron S-wave in the crust, proton S-wave and neutron P-F-wave in the core), and this review consolidates the microscopic calculations that fix their...
Lattice simulations for few- and many-body systems
nucl-th 2008-04 accept novelty 3.0 of 10

Lattice effective field theory provides a common computational framework for simulating cold atoms and low-energy nuclear systems, though sign problems and coarse lattice spacings still limit precision.
Superfluidity and Vortex Dynamics in Neutron Stars
nucl-th 2026-09 accept

A comprehensive review of superfluidity, superconductivity, vortex dynamics, and magnetic structures in neutron stars, covering microphysics, dynamics, and observational connections.

How the literature uses it

11 arXiv papers cite this in 18 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 · 8 sentences without a confident label

Uses its data or values 1 paper

The new ingredients here are the sPh contribution to the thermal conductivity and the use of an updated $^1S_0$ neutron superfluid gap obtained from Quantum Monte Carlo simulations [ref] .

Superfluid Heat Conduction and the Cooling of Magnetized Neutron Stars · Introduction · 0.96

Compares with it 6 papers

As $a <0$ (attractive potential), the gap is reduced relative to $Δ_GM$, in agreement with the QMC simulations in Ref. [ref] .

Universal corrections to the superfluid gap in a cold Fermi gas · Introduction · 0.82
The resulting $E/A$ from [ref] is compared in Fig. [ref] with other non-perturbative calculations based on variational techniques [ref] , on several Quantum Monte Carlo approaches [ref] , on lattice EFT [ref] , and from N$^3$LO chiral EFT [ref] .

Regulator-independent equations of state for neutron stars generated from first principles · Low density region · 1.00
For comparison we show other results from the literature: FP 1981 [ref] , APR 1998 [ref] , CMPR $v6$ and $v8^'$ [ref] , SP 2005 [ref] , and GC 2007 [ref] .

Dilute neutron matter on the lattice at next-to-leading order in chiral effective field theory · Results · 0.99

Cites it as background 2 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
While MC methods have been extensively applied to the normal (unpaired) state of neutron and nuclear matter over an extended period [ref] , the much more challenging problem of pairing has been addressed in only a handful of studies during the last decade [ref] .

Superfluidity in nuclear systems and neutron stars · Monte Carlo methods · 0.91

What it cites · 3 sentences without a confident label

Compares with 1 paper

Near $k_F a = -10$ the energy per particle is not too far from QMC calculations [ref] and measurements [ref] of the ratio $ξ$ of the unitary gas energy to $E_FG$; previous calculations give $ξ= 0.42(1)$.

Theory of ultracold Fermi gases · Introduction · 0.81

Cites as background 2 papers

We recently became aware of new calculations of the equation of state and pairing gap for cold atoms using auxiliary field Quantum Monte Carlo techniques [ref] .

The Finite Temperature Pairing Gap of a Unitary Fermi Gas by Quantum Monte Carlo Calculations · Introduction · 0.84
A variety of beautiful experiments have been performed recently on cold atoms in the strongly paired regime [ref] .

Phase diagram of a two-component Fermi gas with resonant interactions · Introduction · 0.92

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