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The Finite Temperature Pairing Gap of a Unitary Fermi Gas by Quantum Monte Carlo Calculations
Statistical Mechanics · Submitted 9 Jan 2008
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim We find evidence of a pseudogap in the fermionic excitation spectrum for temperatures up to {$T^*\approx 0.20\varepsilon_{F} > T_c$}.
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The abstract, sentence by sentence
We calculate the one-body temperature Green's (Matsubara) function of the unitary Fermi gas via Quantum Monte Carlo, and extract the spectral weight function $A(p,\omega)$ using the methods of maximum entropy and singular value decomposition. From $A(p,\omega)$ we determine the quasiparticle spectrum, which can be accurately parametrized by three functions of temperature: an effective mass $m^*$, a mean-field potential $U$, and a gap $\Delta$. Below the critical temperature $T_c=0.15\varepsilon_F$ the results for $m^*$, $U$ and $\Delta$ can be accurately reproduced using an independent quasiparticle model. We find evidence of a pseudogap in the fermionic excitation spectrum for temperatures up to {$T^*\approx 0.20\varepsilon_{F} > T_c$}.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | We calculate the one-body temperature Green's (Matsubara) function of the unitary Fermi gas via Quantum Monte Carlo, and extract the spectral weight function $A(p,\omega)$ using the methods of maximum entropy and singular value decomposition. | method 0.96 | 0.97 | 0.05 | asserted 1.00 |
| s1 | From $A(p,\omega)$ we determine the quasiparticle spectrum, which can be accurately parametrized by three functions of temperature: an effective mass $m^*$, a mean-field potential $U$, and a gap $\Delta$. | result 0.46 | 0.94 | 0.17 | asserted 0.97 |
| s2 | Below the critical temperature $T_c=0.15\varepsilon_F$ the results for $m^*$, $U$ and $\Delta$ can be accurately reproduced using an independent quasiparticle model. | result 0.79 | 0.92 | 0.23 | asserted 1.00 |
| s3 | We find evidence of a pseudogap in the fermionic excitation spectrum for temperatures up to {$T^*\approx 0.20\varepsilon_{F} > T_c$}. | result 0.97 | 0.96 | 0.32 | asserted 0.61 |
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The paper
Original abstract
We calculate the one-body temperature Green's (Matsubara) function of the unitary Fermi gas via Quantum Monte Carlo, and extract the spectral weight function $A(p,\omega)$ using the methods of maximum entropy and singular value decomposition. From $A(p,\omega)$ we determine the quasiparticle spectrum, which can be accurately parametrized by three functions of temperature: an effective mass $m^*$, a mean-field potential $U$, and a gap $\Delta$. Below the critical temperature $T_c=0.15\varepsilon_F$ the results for $m^*$, $U$ and $\Delta$ can be accurately reproduced using an independent quasiparticle model. We find evidence of a pseudogap in the fermionic excitation spectrum for temperatures up to {$T^*\approx 0.20\varepsilon_{F} > T_c$}.
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References
How the literature uses it
12 arXiv papers cite this in 35 sentences
Papers whose main result relates to this one's
States the same result 1 paper
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All results indicate that the pseudogap regime is narrow, with pseudogap signatures emerging at temperatures below $T^{*}\approx 0.2 \, T_F$.
States a conflicting result 2 papers
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We find that the energy-staggering pairing gap vanishes above $T_c$, showing no pseudogap effects, and that the spin susceptibility shows a substantially reduced signature of a spin gap compared to previously reported AFMC simulations.
Pairing correlations across the superfluid phase transition in the unitary Fermi gas · 0.97
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Feld et al., Nature 480, 75 (2011)], thus suggesting that the observed pairing gap is a feature of the high-temperature gas rather than being evidence of a pseudogap regime just above the superfluid transition temperature.
Papers citing it · 23 sentences without a confident label
Builds on it 1 paper
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For an independent-(quasi)particle Green's function, [equation] these quantities can be manipulated to yield the relation [equation] This procedure is a generalization of [ref] that avoids, however, the need to invert Eq. ([ref]).
Superfluid to insulator phase transition in a unitary Fermi gas · Introduction · 0.83
Uses its method or tool 2 papers
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This quantity was determined via a calculation of a response function $χ$ (see Ref. [ref] ) as a function of momentum $p$:
Quantum Monte Carlo Simulations of the BCS-BEC Crossover at Finite Temperature · Results away from unitarity · 0.95
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For $j=3$ we use a discrete auxiliary field taking values $-1$ or $+1$ at each lattice site, [equation] [equation] The discrete Hubbard-Stratonovich transformation was first introduced by Hirsch in [ref] and has been used in a number of recent lattice simulations [ref] .
The ground state energy at unitarity · Grassmann path integral with auxiliary field · 0.96
Compares with it 5 papers
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These values are in close agreement to the Quantum Monte-Carlo (QMC) calculations of [ref] .
Dynamical mean-field approximation for unitary Fermi gas · Introduction · 0.98
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This is qualitatively different from the [ref] where the non monotonic $ω_s(T)$ can produce temperature increase.
Radio Frequency Response of the Strongly Interacting Fermi Gases at Finite Temperatures · Introduction · 0.90
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Indeed, our interpolated values reasonably agree with the results from the latest Monte Carlo simulations, $ξ≈0.40(5)$ [ref] and $ξ≲0.40(1)$ [ref] .
Ground-state energy of the unitary Fermi gas from the epsilon expansion · Summary and concluding remarks · 0.99
Cites it as background 4 papers
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The properties of a Fermi gas with attractive interaction where studied by different groups using different techniques [ref] .
Dynamical mean-field approximation for unitary Fermi gas · Introduction · 0.99
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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] .
Strongly paired fermions: Cold atoms and neutron matter · Introduction · 0.84
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Thermodynamics at the unitary limit is of much interest [ref] .
From Low-Density Neutron Matter to the Unitary Limit · Critical temperature $T_c$ · 0.99
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