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Title: The pseudogap regime in the unitary Fermi gas

Abstract

Here, we discuss the pseudogap regime in the unitary Fermi gas (UFG), with a particular emphasis on the auxiliary-field quantum Monte Carlo (AFMC) approach. We discuss possible signatures of the pseudogap, review experimental results, and survey analytic and quantum Monte Carlo techniques before focusing on AFMC calculations in the canonical ensemble. For the latter method, we discuss results for the heat capacity, condensate fraction, energy-staggering pairing gap, and spin susceptibility, and compare to experiment and results of other theoretical methods.

Authors:
 [1];  [2];  [1]
  1. Yale Univ., New Haven, CT (United States)
  2. Univ. of Washington, Seattle, WA (United States)
Publication Date:
Research Org.:
Lawrence Berkeley National Laboratory (LBNL), Berkeley, CA (United States). National Energy Research Scientific Computing Center (NERSC)
Sponsoring Org.:
USDOE Office of Science (SC)
OSTI Identifier:
1530857
Grant/Contract Number:  
FG02-91ER40608; SC0019521; FG02- 00ER41132; AC02-05CH11231
Resource Type:
Accepted Manuscript
Journal Name:
European Physical Journal. Special Topics
Additional Journal Information:
Journal Volume: 227; Journal Issue: 15-16; Journal ID: ISSN 1951-6355
Publisher:
Springer
Country of Publication:
United States
Language:
English
Subject:
73 NUCLEAR PHYSICS AND RADIATION PHYSICS

Citation Formats

Jensen, S., Gilbreth, C. N., and Alhassid, Y. The pseudogap regime in the unitary Fermi gas. United States: N. p., 2019. Web. doi:10.1140/epjst/e2019-800105-y.
Jensen, S., Gilbreth, C. N., & Alhassid, Y. The pseudogap regime in the unitary Fermi gas. United States. doi:10.1140/epjst/e2019-800105-y.
Jensen, S., Gilbreth, C. N., and Alhassid, Y. Tue . "The pseudogap regime in the unitary Fermi gas". United States. doi:10.1140/epjst/e2019-800105-y.
@article{osti_1530857,
title = {The pseudogap regime in the unitary Fermi gas},
author = {Jensen, S. and Gilbreth, C. N. and Alhassid, Y.},
abstractNote = {Here, we discuss the pseudogap regime in the unitary Fermi gas (UFG), with a particular emphasis on the auxiliary-field quantum Monte Carlo (AFMC) approach. We discuss possible signatures of the pseudogap, review experimental results, and survey analytic and quantum Monte Carlo techniques before focusing on AFMC calculations in the canonical ensemble. For the latter method, we discuss results for the heat capacity, condensate fraction, energy-staggering pairing gap, and spin susceptibility, and compare to experiment and results of other theoretical methods.},
doi = {10.1140/epjst/e2019-800105-y},
journal = {European Physical Journal. Special Topics},
number = 15-16,
volume = 227,
place = {United States},
year = {2019},
month = {3}
}

Journal Article:
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Works referenced in this record:

Exploring the thermodynamics of a universal Fermi gas
journal, February 2010

  • Nascimbène, S.; Navon, N.; Jiang, K. J.
  • Nature, Vol. 463, Issue 7284
  • DOI: 10.1038/nature08814

BCS–BEC crossover: From high temperature superconductors to ultracold superfluids
journal, June 2005


Critical region of the superfluid transition in the BCS-BEC crossover
journal, February 2016


Evolution of the Normal State of a Strongly Interacting Fermi Gas from a Pseudogap Phase to a Molecular Bose Gas
journal, February 2011


Many-body physics with ultracold gases
journal, July 2008

  • Bloch, Immanuel; Dalibard, Jean; Zwerger, Wilhelm
  • Reviews of Modern Physics, Vol. 80, Issue 3
  • DOI: 10.1103/RevModPhys.80.885

Comparative study of BCS-BEC crossover theories above T c : The nature of the pseudogap in ultracold atomic Fermi gases
journal, February 2010


Measurement of the Homogeneous Contact of a Unitary Fermi Gas
journal, November 2012


Pair condensation in a finite trapped Fermi gas
journal, December 2013


Asymmetric Two-Component Fermion Systems in Strong Coupling
journal, August 2005


Strongly correlated quantum fluids: ultracold quantum gases, quantum chromodynamic plasmas and holographic duality
journal, November 2012


Numerical study of the two-dimensional Hubbard model
journal, July 1989


Revealing the Superfluid Lambda Transition in the Universal Thermodynamics of a Unitary Fermi Gas
journal, January 2012


Determination of the Superfluid Gap in Atomic Fermi Gases by Quasiparticle Spectroscopy
journal, October 2008


Homogeneous Atomic Fermi Gases
journal, March 2017


Thermodynamics of the BCS-BEC crossover
journal, February 2007


Onset of a Pseudogap Regime in Ultracold Fermi Gases
journal, September 2011


Numerical study of the unitary Fermi gas across the superfluid transition
journal, May 2016


Atomic Fermi gas in the unitary limit by quantum Monte Carlo methods: Effects of the interaction range
journal, August 2011


BEC-BCS crossover and universal relations in unitary Fermi gases
journal, April 2011


Critical Properties from Monte Carlo Coarse Graining and Renormalization
journal, August 1981


Effective theory for trapped few-fermion systems
journal, December 2007


Polarized Fermi gases at finite temperature in the BCS-BEC crossover
journal, November 2014


Finite-size effects in canonical and grand-canonical quantum Monte Carlo simulations for fermions
journal, October 2017


The Equation of State of a Low-Temperature Fermi Gas with Tunable Interactions
journal, April 2010


Density and Spin Response of a Strongly Interacting Fermi Gas in the Attractive and Quasirepulsive Regime
journal, February 2012


Effective-range dependence of resonantly interacting fermions
journal, November 2012

  • Forbes, Michael McNeil; Gandolfi, Stefano; Gezerlis, Alexandros
  • Physical Review A, Vol. 86, Issue 5
  • DOI: 10.1103/PhysRevA.86.053603

Monte Carlo sampling methods using Markov chains and their applications
journal, April 1970


Stabilizing canonical-ensemble calculations in the auxiliary-field Monte Carlo method
journal, March 2015


Three fermions in a box at the unitary limit: universality in a lattice model
journal, October 2007


Theory of ultracold atomic Fermi gases
journal, October 2008

  • Giorgini, Stefano; Pitaevskii, Lev P.; Stringari, Sandro
  • Reviews of Modern Physics, Vol. 80, Issue 4
  • DOI: 10.1103/RevModPhys.80.1215

Observation of pseudogap behaviour in a strongly interacting Fermi gas
journal, July 2010

  • Gaebler, J. P.; Stewart, J. T.; Drake, T. E.
  • Nature Physics, Vol. 6, Issue 8
  • DOI: 10.1038/nphys1709

Calculation of Partition Functions
journal, July 1959


Spectral functions and rf response of ultracold fermionic atoms
journal, December 2009


Crossover from BCS to Bose superconductivity: Transition temperature and time-dependent Ginzburg-Landau theory
journal, November 1993

  • Sá de Melo, C. A. R.; Randeria, Mohit; Engelbrecht, Jan R.
  • Physical Review Letters, Vol. 71, Issue 19
  • DOI: 10.1103/PhysRevLett.71.3202

Auxiliary-field quantum Monte Carlo method for strongly paired fermions
journal, December 2011


Momentum-resolved spectroscopy of a Fermi liquid
journal, May 2015

  • Doggen, Elmer V. H.; Kinnunen, Jami J.
  • Scientific Reports, Vol. 5, Issue 1
  • DOI: 10.1038/srep09539

Breakdown of the Fermi Liquid Description for Strongly Interacting Fermions
journal, February 2015


Cooper Pairing Above the Critical Temperature in a Unitary Fermi Gas
journal, February 2013


The pseudogap in high-temperature superconductors: an experimental survey
journal, January 1999


Correlated electrons in high-temperature superconductors
journal, July 1994


Spin 1 / 2 Fermions in the Unitary Regime: A Superfluid of a New Type
journal, March 2006


Signature of a Pairing Transition in the Heat Capacity of Finite Nuclei
journal, June 2001


Contact and Momentum Distribution of the Unitary Fermi Gas
journal, September 2018


Quantum Mechanical Limitations to Spin Diffusion in the Unitary Fermi Gas
journal, November 2012


Pseudogap and spectral function from superconducting fluctuations to the bosonic limit
journal, July 2002


Quasiparticle dispersions and lifetimes in the normal state of the BCS-BEC crossover
journal, April 2015


Comparison of different pairing fluctuation approaches to BCS–BEC crossover
journal, February 2010


Practical solution to the Monte Carlo sign problem: Realistic calculations of Fe 54
journal, January 1994


Uniform spin susceptibility and spin-gap phenomenon in the BCS-BEC-crossover regime of an ultracold Fermi gas
journal, March 2014


Bold Diagrammatic Monte Carlo Technique: When the Sign Problem Is Welcome
journal, December 2007


Universal Phase Diagram and Scaling Functions of Imbalanced Fermi Gases
journal, November 2018

  • Frank, B.; Lang, J.; Zwerger, W.
  • Journal of Experimental and Theoretical Physics, Vol. 127, Issue 5
  • DOI: 10.1134/S1063776118110031

Thermodynamics of balanced and slightly spin-imbalanced Fermi gases at unitarity
journal, November 2010


Deviations from Fermi-Liquid Behavior above T c in 2D Short Coherence Length Superconductors
journal, July 1995


Separable effective interaction for the trapped Fermi gas: The BEC-BCS crossover
journal, March 2012


Superfluid Pairing Gap in Strong Coupling
journal, April 2008


Quantum cluster theories
journal, October 2005


Bose condensation in an attractive fermion gas: From weak to strong coupling superconductivity
journal, May 1985

  • Nozi�res, P.; Schmitt-Rink, S.
  • Journal of Low Temperature Physics, Vol. 59, Issue 3-4
  • DOI: 10.1007/BF00683774

Superfluid Fermi Gases with Large Scattering Length
journal, July 2003


Interacting preformed Cooper pairs in resonant Fermi gases
journal, July 2011


Observation of the Pairing Gap in a Strongly Interacting Fermi Gas
journal, August 2004


New Effective Interaction for the Trapped Fermi Gas
journal, June 2008


The Fermi–Hubbard model at unitarity
journal, August 2006

  • Burovski, Evgeni; Prokof'ev, Nikolay; Svistunov, Boris
  • New Journal of Physics, Vol. 8, Issue 8
  • DOI: 10.1088/1367-2630/8/8/153

Single-particle properties and pseudogap effects in the BCS-BEC crossover regime of an ultracold Fermi gas above T c
journal, September 2009


Finite-Temperature Pairing Gap of a Unitary Fermi Gas by Quantum Monte Carlo Calculations
journal, November 2009


Dynamical cluster quantum Monte Carlo study of the single-particle spectra of strongly interacting fermion gases
journal, May 2010


Neutron Matter from Low to High Density
journal, October 2015


Shell model Monte Carlo methods
journal, January 1997


Monte Carlo calculations of coupled boson-fermion systems. I
journal, October 1981


Monte Carlo evaluation of path integrals for the nuclear shell model
journal, October 1993


Quantum Monte Carlo Methods for Nuclei at Finite Temperature
journal, May 2001


Continuous-time quantum Monte Carlo method for fermions
journal, July 2005


General relations for quantum gases in two and three dimensions: Two-component fermions
journal, July 2012


Equation of State Calculations by Fast Computing Machines
journal, June 1953

  • Metropolis, Nicholas; Rosenbluth, Arianna W.; Rosenbluth, Marshall N.
  • The Journal of Chemical Physics, Vol. 21, Issue 6
  • DOI: 10.1063/1.1699114

Review of pseudogaps in strongly interacting Fermi gases
journal, September 2017


Specific heat and effects of pairing fluctuations in the BCS-BEC-crossover regime of an ultracold Fermi gas
journal, January 2016


Probing the Excitation Spectrum of a Fermi Gas in the BCS-BEC Crossover Regime
journal, February 2005


BCS-BEC crossover in a relativistic superfluid and its significance to quark matter
journal, November 2005


Particle-Number Reprojection in the Shell Model Monte Carlo Method: Application to Nuclear Level Densities
journal, November 1999


Resonantly Interacting Fermions in a Box
journal, June 2011


Crossover from BCS superconductivity to Bose-Einstein condensation: A self-consistent theory
journal, September 1993

  • Haussmann, R.
  • Zeitschrift f�r Physik B Condensed Matter, Vol. 91, Issue 3
  • DOI: 10.1007/BF01344058

Dynamical cluster approximation: Nonlocal dynamics of correlated electron systems
journal, May 2000


Fermi-polaron problem: Diagrammatic Monte Carlo method for divergent sign-alternating series
journal, January 2008


Pre-pairing for condensation
journal, August 2010


Quantum Monte Carlo simulations of the BCS-BEC crossover at finite temperature
journal, August 2008


Mapping the two-component atomic Fermi gas to the nuclear shell-model
journal, August 2014


Pairing and spin gap in the normal state of short coherence length superconductors
journal, September 1992


Demonstration of the auxiliary-field Monte Carlo approach for sd -shell nuclei
journal, March 1994


Concept of Off-Diagonal Long-Range Order and the Quantum Phases of Liquid He and of Superconductors
journal, October 1962


Goldstone mode and pair-breaking excitations in atomic Fermi superfluids
journal, June 2017

  • Hoinka, Sascha; Dyke, Paul; Lingham, Marcus G.
  • Nature Physics, Vol. 13, Issue 10
  • DOI: 10.1038/nphys4187

Fermi-Liquid Behavior of the Normal Phase of a Strongly Interacting Gas of Cold Atoms
journal, May 2011


Spin susceptibility and fluctuation corrections in the BCS-BEC crossover regime of an ultracold Fermi gas
journal, October 2012


Effective-range dependence of resonant Fermi gases
journal, January 2017


Nonlocal dynamical correlations of strongly interacting electron systems
journal, September 1998


Configuration-interaction Monte Carlo method and its application to the trapped unitary Fermi gas
journal, November 2013


Critical Temperature and Thermodynamics of Attractive Fermions at Unitarity
journal, April 2006


Pseudogap phenomena in ultracold atomic Fermi gases
journal, October 2014


Feynman diagrams versus Fermi-gas Feynman emulator
journal, March 2012

  • Van Houcke, K.; Werner, F.; Kozik, E.
  • Nature Physics, Vol. 8, Issue 5
  • DOI: 10.1038/nphys2273