Polarized fermions in one dimension: Density and polarization from complex Langevin calculations, perturbation theory, and the virial expansion

Loheac, Andrew C.; Braun, Jens; Drut, Joaquín E.

doi:10.1103/PhysRevD.98.054507

Title: Polarized fermions in one dimension: Density and polarization from complex Langevin calculations, perturbation theory, and the virial expansion

Journal Article · Tue Sep 11 00:00:00 EDT 2018 · Physical Review D

DOI:https://doi.org/10.1103/PhysRevD.98.054507· OSTI ID:1469420

Loheac, Andrew C.; Braun, Jens; Drut, Joaquín E.

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Sponsoring Organization:: USDOE

OSTI ID:: 1469420

Journal Information:: Physical Review D, Journal Name: Physical Review D Vol. 98 Journal Issue: 5; ISSN 2470-0010

Publisher:: American Physical SocietyCopyright Statement

Country of Publication:: United States

Language:: English

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References (33)

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Noise, Sign Problems, and Statistics Endres, Michael G.; Kaplan, David B.; Lee, Jong-Wan Physical Review Letters, Vol. 107, Issue 20 https://doi.org/10.1103/PhysRevLett.107.201601	journal	November 2011
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Argument for justification of the complex Langevin method and the condition for correct convergence Nagata, Keitaro; Nishimura, Jun; Shimasaki, Shinji Physical Review D, Vol. 94, Issue 11 https://doi.org/10.1103/PhysRevD.94.114515	journal	December 2016
Hybrid Monte Carlo approach to the entanglement entropy of interacting fermions Drut, Joaquín E.; Porter, William J. Physical Review B, Vol. 92, Issue 12 https://doi.org/10.1103/PhysRevB.92.125126	journal	September 2015
Fermi gases with imaginary mass imbalance and the sign problem in Monte-Carlo calculations Roscher, Dietrich; Braun, Jens; Chen, Jiunn-Wei Journal of Physics G: Nuclear and Particle Physics, Vol. 41, Issue 5 https://doi.org/10.1088/0954-3899/41/5/055110	journal	March 2014
Third-order perturbative lattice and complex Langevin analyses of the finite-temperature equation of state of nonrelativistic fermions in one dimension Loheac, Andrew C.; Drut, Joaquín E. Physical Review D, Vol. 95, Issue 9 https://doi.org/10.1103/PhysRevD.95.094502	journal	May 2017
Instability of Fulde-Ferrell-Larkin-Ovchinnikov states in atomic Fermi gases in three and two dimensions Wang, Jibiao; Che, Yanming; Zhang, Leifeng Physical Review B, Vol. 97, Issue 13 https://doi.org/10.1103/PhysRevB.97.134513	journal	April 2018
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Surmounting the sign problem in nonrelativistic calculations: A case study with mass-imbalanced fermions Rammelmüller, Lukas; Porter, William J.; Drut, Joaquín E. Physical Review D, Vol. 96, Issue 9 https://doi.org/10.1103/PhysRevD.96.094506	journal	November 2017
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Thermal equation of state of polarized fermions in one dimension via complex chemical potentials Loheac, Andrew C.; Braun, Jens; Drut, Joaquín E. Physical Review A, Vol. 92, Issue 6 https://doi.org/10.1103/PhysRevA.92.063609	journal	December 2015
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Complex Langevin dynamics and zeroes of the fermion determinant Aarts, Gert; Seiler, Erhard; Sexty, Dénes Journal of High Energy Physics, Vol. 2017, Issue 5 https://doi.org/10.1007/JHEP05(2017)044	journal	May 2017
Lattice simulations for few- and many-body systems Lee, Dean Progress in Particle and Nuclear Physics, Vol. 63, Issue 1 https://doi.org/10.1016/j.ppnp.2008.12.001	journal	July 2009
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Imaginary Polarization as a Way to Surmount the Sign Problem in Ab Initio Calculations of Spin-Imbalanced Fermi Gases Braun, Jens; Chen, Jiunn-Wei; Deng, Jian Physical Review Letters, Vol. 110, Issue 13 https://doi.org/10.1103/PhysRevLett.110.130404	journal	March 2013
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Complex Langevin method: When can it be trusted? Aarts, Gert; Seiler, Erhard; Stamatescu, Ion-Olimpiu Physical Review D, Vol. 81, Issue 5 https://doi.org/10.1103/PhysRevD.81.054508	journal	March 2010
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Does the complex Langevin method give unbiased results? Salcedo, L. L. Physical Review D, Vol. 94, Issue 11 https://doi.org/10.1103/PhysRevD.94.114505	journal	December 2016
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Entanglement, noise, and the cumulant expansion Drut, Joaquín E.; Porter, William J. Physical Review E, Vol. 93, Issue 4 https://doi.org/10.1103/PhysRevE.93.043301	journal	April 2016
Evolution from few- to many-body physics in one-dimensional Fermi systems: One- and two-body density matrices and particle-partition entanglement Rammelmüller, Lukas; Porter, William J.; Braun, Jens Physical Review A, Vol. 96, Issue 3 https://doi.org/10.1103/PhysRevA.96.033635	journal	September 2017
Complex Langevin simulation of a random matrix model at nonzero chemical potential Bloch, J.; Glesaaen, J.; Verbaarschot, J. J. M. Journal of High Energy Physics, Vol. 2018, Issue 3 https://doi.org/10.1007/JHEP03(2018)015	journal	March 2018

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