Selected Papers on Fermi Gases : Theory

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Reviews

Theory of ultracold Fermi gases

Stefano Giorgini, Lev P. Pitaevskii, Sandro Stringari

Rev. Mod. Phys. 80, 1215 (2008), arXiv:0706.3360

Lattice simulations for few- and many-body systems

Deal Lee

Prog. Part. Nucl. Phys. 63, 117, 2009, arXiv:0804.3501

Hydrodynamics and Collective Excitations

Low-energy collective excitations in a superfluid trapped Fermi gas

M. A. Baranov and D. S. Petrov

Phys. Rev. A 62, 041601 (2000), arXiv:cond-mat/9901108

Includes calculation of collective oscillations from superfluid hydrodynamics in the Thomas-Fermi limit.

Vortex State in a Strongly Coupled Dilute Atomic Fermionic Superfluid

Aurel Bulgac and Yongle Yu

Phys. Rev. Lett. 91, 190404 (2003), arXiv:cond-mat/0303235

Collective oscillations of a trapped superfluid Fermi gas near a Feshbach resonance

Sandro Stringari

Europhys. Lett. 65, 749 (2004), arXiv:cond-mat/0312614

Collective Oscillations of a Trapped Fermi Gas near the Unitary Limit

Aurel Bulgac and George F. Bertsch

Phys. Rev. Lett. 94, 070401 (2005), arXiv:cond-mat/0404687

Cold Strongly Coupled Atoms Make a Near-perfect Liquid

Boris A. Gelman, Edward V. Shuryak, and Ismail Zahed

arXiv:nucl-th/0410067

Collective oscillations of a Fermi gas near a Feshbach resonance

Theja N. De Silva and Erich J. Mueller

Phys. Rev. A 72, 063614 (2005), arXiv:cond-mat/0508402

System is described by a fermion-boson Hamiltonian. Uses sum rules for a response function to find oscillation frequencies as functions of 1/kF a.

General coordinate invariance and conformal invariance in nonrelativistic physics: Unitary Fermi gas

D. T. Son and M. Wingate

Annals of Physics 321, 197 (2006), arXiv:cond-mat/0509786

Constructs an effective field theory for phonons up to next-to-leading order.

Vanishing bulk viscosities and conformal invariance of unitary Fermi gas

D. T. Son

Phys. Rev. Lett. 98, 020604 (2007), arXiv:cond-mat/0511721

Nonrelativistic general coordinate invariance and conformal invariance implies the vanishing of the bulk viscosity in normal phase and 2 of the 3 bulk viscosities in the superfluid phase.

Acoustic attenuation probe for fermion superfluidity in ultracold atom gases

S. Gaudio, B. Mihaila, K. B. Blagoev, K. S Bedell, E. Timmermans

arXiv:cond-mat/0512134

Shear viscosity and damping for a Fermi gas in the unitarity limit

G. M. Bruun, H. Smith

arXiv:cond-mat/0612460

Shear viscosity as a function of temperature above Tc in several approximations.

The Shear Viscosity to Entropy Density Ratio of Trapped Fermions in the Unitarity Limit

Thomas Schäfer

arXiv:cond-mat/0701251

Extracts this quantity from experimental results.

Fermi liquid behavior and Luttinger's theorem close to a diverging scattering length

Sergio Gaudio, Jason Jackiewicz, Kevin S. Bedell

arXiv:cond-mat/0703722

First and second sound modes at finite temperature in trapped Fermi gases from BCS to BEC

Yan He, Qijin Chen, Chih-Chun Chien, and K. Levin

arXiv:0704.1889

Dark solitons in a superfluid Fermi gas

Mauro Antezza, Franco Dalfovo, Lev P. Pitaevskii, Sandro Stringari

arXiv:0706.0601

Equilibrium and dynamics of a trapped superfluid Fermi gas with unequal masses

G. Orso, L.P. Pitaevskii and S. Stringari

arXiv:0709.1690

Quantum Fluctuations in the Superfluid State of the BCS-BEC Crossover

Roberto B. Diener, Rajdeep Sensarma, Mohit Randeria

arXiv:0709.2653

Tkachenko modes in a superfluid Fermi gas at unitarity

Gentaro Watanabe, Marco Cozzini, and Sandro Stringari

arXiv:0709.2757

Finite Temperature

Resonance superfluidity in a quantum degenerate Fermi gas

M. Holland, S.J.J.M.F. Kokkelmans, M.L. Chiofalo, and R. Walser

Phys. Rev. Lett. 87, 120406 (2001), arXiv:cond-mat/0103479

High Temperature Expansion Applied to Fermions near Feshbach Resonance

Tin-Lun Ho and Erich Mueller

Phys. Rev. Lett. 92, 160404 (2004), arXiv:cond-mat/0306187

Virial expansion for unitary Fermi gas.

Universal Thermodynamics of Degenerate Quantum Gases in the Unitarity Limit

Tin-Lun Ho

Phys. Rev. Lett. 92, 090402 (2004), arXiv:cond-mat/0309109

On the specific heat of a fermionic atomic cloud in the unitary regime

Aurel Bulgac

Phys. Rev. Lett. 95, 140403 (2005), arXiv:cond-mat/0503024

Thermodynamics as a function of trap size and shape.

Virial Theorem and Universality in a Unitary Fermi Gas

J. E. Thomas, J. Kinast, A. Turlapov

Phys. Rev. Lett. 95, 120402 (2005), arXiv:cond-mat/0503620

Energetics of a strongly correlated Fermi gas

Shina Tan

Annals of Physics 323, 2952 (2008), arXiv:cond-mat/0505200

The Virial Equation of State of Low-Density Neutron Matter

C.J. Horowitz and A. Schwenk

Phys. Lett. B638, 153 (2006), arXiv:nucl-th/0507064

Application of virial expansion to neutron matter (away from unitary regime).

Large momentum part of fermions with large scattering length

Shina Tan

Annals of Physics 323, 2971 (2008), arXiv:cond-mat/0508320

Universality in a 2-component Fermi System at Finite Temperature

Gautam Rupak

Phys. Rev. Lett. 98, 090403 (2007), arXiv:nucl-th/0604053

Model independent calculation of the third virial coefficient.

Universality in the BCS - BEC Crossover in Cold Fermion Gases

S. Diehl

arXiv:cond-mat/0701157

Finite temperature phase diagram, especially in the regime of narrow Feshbach resonance

Flow Equations for the BCS-BEC Crossover

S. Diehl, H. Gies, J. M. Pawlowski, C. Wetterich

arXiv:cond-mat/0701198

Universal thermodynamics of strongly interacting Fermi gases

Hui Hu, Peter D. Drummond, Xia-Ji Liu

arXiv:cond-mat/0701744

Exact renormalisation group flow for ultracold Fermi gases in unitary limit

Boris Krippa

arXiv:0704:3984

Thermodynamics and superfluid density in BCS-BEC crossover with and without population imbalance

Yan He, Chih-Chun Chien, Qijin Chen, and K. Levin

arXiv:0707.1751

On Non-Relativistic Conformal Field Theory and Trapped Atoms: Virial Theorems and the State-Operator Correspondence in Three Dimensions

Thomas Mehen

arXiv:0712.0867

Generalized Virial Theorem and Pressure Relation for a strongly correlated Fermi gas

Shina Tan

arXiv:0803.0841

Exact Relations for a Strongly-interacting Fermi Gas from the Operator Product Expansion

Eric Braaten and Lucas Platter

Phys. Rev. Lett. 100, 205301 (2008), arXiv:0803.1125

Virial theorem for confined universal Fermi gases

J. E. Thomas

arXiv:0803.1647

Numerical Calculations

Superfluid Fermi gases with large scattering length

J. Carlson, S.-Y. Chang, V. R. Pandharipande, and K. E. Schmidt

Phys. Rev. Lett. 91, 050401 (2003), physics/0303094

Fixed-node Green's function Monte Carlo. ξ = 0.44(1) + uncertainties due to initial state ansatz and fixed node approximation

Equation of state of a Fermi gas in the BEC-BCS crossover: a quantum Monte Carlo study

G. E. Astrakharchik, J. Boronat, J. Casulleras, and S. Giorgini

Phys. Rev. Lett. 93, 200404 (2004), arXiv:cond-mat/0406113

Diffusion Monte Carlo. ξ = 0.42(1) + uncertainties due to initial state ansatz and fixed node approximation

Truncated-determinant diagrammatic Monte Carlo for fermions with contact interaction

Evgueni Bourovski, Nikolay Prokof'ev, and Boris Svistunov

Phys. Rev. B 70, 193101 (2004), arXiv:cond-mat/0312108

Shows great speed-up of Hubbard model simulations.

Critical temperature for fermion pairing using lattice field theory

M. Wingate

arXiv:cond-mat/0502372

Exploratory calculation of phase transition between normal and superfluid matter near the unitary regime. Finds Tc/TF approx 0.04, but has uncertainties in scattering length and finite spacing effects.

Spin 1/2 Fermions on a 3D-Lattice in the Unitary Regime at Finite Temperatures

A. Bulgac, J. Drut, and P. Magierski

Phys. Rev. Lett. 96, 090404 (2006), arXiv:cond-mat/0505374

Tc/TF = 0.23(2) by finding a shoulders in E and S vs. T; ξ = 0.4

Cold dilute neutron matter on the lattice I: Lattice virial coefficients and large scattering lengths

Dean Lee and Thomas Schäfer

Phys. Rev. C 73, 015201 (2006), arXiv:nucl-th/0509017

Cold dilute neutron matter on the lattice II: Results in the unitary limit

Dean Lee and Thomas Schäfer

Phys. Rev. C 73, 015202 (2006), arXiv:nucl-th/0509018

Upper bound Tc/TF < 0.14.

Ground state energy of spin-1/2 fermions in the unitary limit

Dean Lee

Phys. Rev. B 73, 115112 (2006), arXiv:cond-mat/0511332

ξ = 0.25(2). Maximum 22 particles.

Molecular signatures in the structure factor of an interacting Fermi gas

R. Combescot, S. Giorgini, and S. Stringari

arXiv:cond-mat/0512048

Density functional theory for fermions close to the unitary regime

Anirban Bhattacharyya and T. Papenbrock

arXiv:nucl-th/0602050

Critical Temperature and Thermodynamics of Attractive Fermions at Unitarity

Evgeni Burovski, Nikolay Prokof'ev, Boris Svistunov, and Matthias Troyer

Phys. Rev. Lett. 96, 160402 (2006), arXiv:cond-mat/0602224

Uses a diagrammatic Monte Carlo algorithm to greatly speed up calculations of the attractive 3D Hubbard Model. Includes finite volume analysis and continuum limit: Tc/TF = 0.152(7).

The Fermi-Hubbard model at unitarity

Evgeni Burovski, Nikolay Prokof'ev, Boris Svistunov, and Matthias Troyer

arXiv:cond-mat/0605350

Extended discussion of cond-mat/0602224.

Superfluidity and excitations at unitarity

Dean Lee

arXiv:cond-mat/0606706

Pairing and Superfluid Properties of Dilute Fermion Gases at Unitarity

Vamsi K. Akkineni, D.M. Ceperley, Nandini Trivedi

arXiv:cond-mat/0608154

Tc/TF = 0.25 using Restricted Path Integral Monte Carlo. They stress being able to work in the continuum, but have to use a fixed-node approximation.

Thermodynamics of a Trapped Unitary Fermi Gas

Aurel Bulgac, Joaquin E. Drut, Piotr Magierski

Phys. Rev. Lett. 99, 120401 (2007), arXiv:cond-mat/0701786

Unitary Fermi Gas in a Harmonic Trap

S. Y. Chang and G. F. Bertsch

physics/0703190

GFMC with 2 to 22 fermions in a harmonic trap.

Gap and Pseudogap of a Unitary Fermi Gas by Quantum Monte Carlo

A. Bulgac, J.E. Drut, P. Magierski, G. Wlazlowski

arXiv:0801.1504

Quantum Monte Carlo Simulations of the BCS-BEC Crossover at Finite Temperature

Aurel Bulgac, Joaquin E. Drut, Piotr Magierski

Phys. Rev. A 78, 023625 (2008), arXiv:0803.3238

Large Number of Species

Large-N expansion for unitary superfluid Fermi gases

M. Y. Veillette, D. E. Sheehy, L. Radzihovsky

Phys. Rev. A 75, 043614 (2007), arXiv:cond-mat/0610798

Role of Dimensionality

The BCS - BEC Crossover In Arbitrary Dimensions

Zohar Nussinov and Shmuel Nussinov

arXiv:cond-mat/0410597

If spacial dimension is less than or equal 2, then ξ=1. If spacial dimension is greater than or equal 4, then xi is nonpositive. d=3 is special.

An epsilon expansion for Fermi gas at infinite scattering length

Yusuke Nishida and Dam Thanh Son

Phys. Rev. Lett. 97, 050403 (2006), arXiv:cond-mat/0604500

Expansion about 4 dimensions: ε = 4-d.

Polarized fermions in the unitarity limit

Gautam Rupak, Thomas Schaefer, Andrei Kryjevski

arXiv:cond-mat/0607834

Fermi gas near unitarity around four and two spatial dimensions

Yusuke Nishida and Dam Thanh Son

arXiv:cond-mat/0607835

Renormalization-group fixed points, universal phase diagram, and 1/N expansion for quantum liquids with interactions near the unitarity limit

Predrag Nikolic and Subir Sachdev

Phys. Rev. A 75, 033608 (2007), arXiv:cond-mat/0609106

Phase Diagram of Cold Polarized Fermi Gas in Two Dimensions

Lianyi He and Pengfei Zhuang

arXiv:0801.31127

Finite Effective Range

BCS-BEC crossover with a finite-range interaction

Meera M. Parish, Bogdan Mihaila, Eddy M. Timmermans, Krastan B. Blagoev, and Peter B. Littlewood

Phys. Rev. B 71, 064513 (2005), arXiv:cond-mat/0410131

Resonant Fermi gases with a large effective range

A. Schwenk and C. J. Pethick

Phys. Rev. Lett. 95, 160401 (2005), arXiv:nucl-th/0506042

Polarized Fermi Gases

Homogeneous Fermion Superfluid with Unequal Spin Populations

Tin-Lun Ho and Hui Zhai

arXiv:cond-mat/0602568

Transition from BCS pairing to Bose-Einstein condensation in low-density asymmetric nuclear matter

U. Lombardo, P. Nozieres, P. Schuck, H.-J. Schulze, and A. Sedrakian

Phys. Rev. C 64, 064314 (2001), arXiv:nucl-th/0109024

Asymmetric Two-component Fermion Systems in Strong Coupling

J. Carlson and S. Reddy

Phys. Rev. Lett. 95, 060401 (2005), arXiv:cond-mat/0503256

Superfluid stability in BEC-BCS crossover

C.-H. Pao, Shin-Tza Wu, and S.-K. Yip

Phys. Rev. B 73, 132506 (2006), arXiv:cond-mat/0506437, Erratum Phys. Rev. B 74, 189901(E) (2006)

Mean field approach

Comment on "Superfluid stability in BEC-BCS crossover"

Daniel E. Sheehy, Leo Radzihovsky

Phys. Rev. B 75, 136501 (2007), arXiv:cond-mat/0608172

Phase Diagram of Cold Polarized Fermi Gas

D. T. Son and M. A. Stephanov

Phys. Rev. A 74, 013614 (2006), arXiv:cond-mat/0507586

BEC-BCS crossover in "magnetized" Feshbach-resonantly paired superfluids

Daniel E. Sheehy and Leo Radzihovsky

Phys. Rev. Lett. 96, 060401, arXiv:cond-mat/0508430

Trapped fermions with density imbalance in the BEC limit

P. Pieri and G.C. Strinati

Phys. Rev. Lett. 96, 150404 (2006), arXiv:cond-mat/0512354

Finite size effects in cold asymmetrical fermion superfluids

Heron Caldas

arXiv:cond-mat/0601148

Density profiles of an imbalance trapped Fermi gas near a Feshbach resonance

Theja N. De Silva and Erich J. Mueller

Phys. Rev. A 73, 051602(R) (2006), arXiv:cond-mat/0601314

Mean field theory calculation within local density approximation

Pairing of a trapped resonantly-interacting fermion mixture with unequal spin populations

Masudul Haque and H. T. C. Stoof

arXiv:cond-mat/0601321

Fermi surfaces and Luttinger's theorem in paired fermion systems

Subir Sachdev and Kun Yang

Phys. Rev. B 73, 174504 (2006), arXiv:cond-mat/0602032

Induced P-wave Superfluidity in Asymmetric Fermi Gases

Aurel Bulgac, Michael McNeil Forbes, and Achim Schwenk

Phys. Rev. Lett. 97, 020402 (2006), arXiv:cond-mat/0602274

Non-BCS superfluidity in trapped ultracold Fermi gases

L. M. Jensen, J. Kinnunen, P. Torma

arXiv:cond-mat/0604424

Asymmetric Fermi Superfluid in a harmonic trap

C.-H. Pao and S.-K. Yip

J. Phys.: Condens. Matter 18, 5567 (2006), arXiv:cond-mat/0604530

Uses mean field theory and local density approximation.

Anomalous specific heat jump in a two-component ultracold Fermi gas

Armen Sedrakian, Herbert Müther, Artur Polls

arXiv:cond-mat/0605085

Finite temperature effects in trapped Fermi gases with population imbalance

Chih-Chun Chien, Qijin Chen, Yan He, K. Levin

arXiv:cond-mat/0605684

Finite T effects within the local density approximation. Treats condensed and noncondensed pairs separately.

Zero Temperature Thermodynamics of Asymmetric Fermi Gases at Unitarity

Aurel Bulgac and Michael McNeil Forbes

Phys. Rev. A 75, 031605(R) (2007), arXiv:cond-mat/0606043

Sarma Phase in Trapped Unbalanced Fermi Gases

K. B. Gubbels, M. W. J. Romans, H. T. C. Stoof

Phys. Rev. Lett. 97, 210402 (2006), arXiv:cond-mat/0606330

Superfluid phase diagrams of trapped Fermi gases with population imbalance

Chih-Chun Chien, Qijin Chen, Yan He, and K. Levin

arXiv:cond-mat/0612103

Imbalanced Superfluid Phase of a Trapped Fermi Gas in the BCS-BEC Crossover Regime

T. Mizushima, M. Ichioka, K. Machida

arXiv:0705.3361

Breakdown of the Thomas Fermi approximation for polarized Fermi gases

Rajdeep Sensarma, William Schneider, Roberto B. Diener and Mohit Randeria

arXiv:0706.1741

Renormalization Group Theory for the Imbalanced Fermi Gas

K. B. Gubbels and H. T. C. Stoof

arXiv:0711.2963

Pairing Beyond S-wave

Quantum Phase Transition for the BEC-BCS Crossover in Condensed Matter Physics and CPT Violation in Elementary Particle Physics

F. R. Klinkhamer and G. E. Volovik

JETP Lett. 80, 343 (2004), arXiv:cond-mat/0407597

Fermion Superfluids of Non-Zero Orbital Angular Momentum near Resonance

Tin-Lun Ho and Roberto B. Diener

Phys. Rev. Lett. 94, 090402 (2005), arXiv:cond-mat/0408468

Study of ground states with nonzero angular momentum with a 2-component fermion model.

BCS-BEC Crossover in a Gas of Fermi Atoms with a p-Wave Feshbach Resonance

Y. Ohashi

Phys. Rev. Lett. 94, 050403 (2005), arXiv:cond-mat/0410516

Anisotropic Fermi Superfluid via p-Wave Feshbach Resonance

Chi-Ho Cheng and S.-K. Yip

Phys. Rev. Lett. 95, 070404 (2005), arXiv:cond-mat/0504278

Many body exchange effects close to the s-wave Feshbach resonance in two-component Fermi systems: Is a triplet superfluid possible?

S. Gaudio, J. Jackiewicz, and K. S. Bedell

arXiv:cond-mat/0505306

Evolution from BCS to BEC superfluidity in p-wave Fermi gases

M. Iskin and C.A.R. Sá de Melo

arXiv:cond-mat/0510300

Fermion model for P-wave superfluidity. Single hyperfine state in 3D. Zero and nonzero temperatures.

Pairing Symmetry in the Anisotropic Fermi Superfluid under p-wave Feshbach Resonance

Chi-Ho Cheng and Sung-Kit Yip

Phys. Rev. B 73, 064517 (2006), arXiv:cond-mat/0601461

Classic Papers

Possible Pairing without Superconductivity at Low Carrier Concentrations in Bulk and Thin-Film Superconducting Semiconductors

D. R. Eagles

Phys. Rev. 186, 000456 (1969)

Cooper pairing in spin-polarized Fermi systems

A. J. Leggett

J. Phys. (Paris) Colloq. 41, C7 (1980)

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

C. A. R. Sá de Melo, Mohit Randeria, and Jan R. Engelbrecht

Phys. Rev. Lett. 71, 3202 (1993).

Crossover from BCS theory to Bose-Einstein Condensation

M. Randeria

in Bose-Einstein Condensation, eds. A. Griffin, D. W. Snoke, and S. Stringari, 355 (Cambridge University Press, 1995).

The MBX Challenge Competition: A Neutron Matter Model

George A. Baker, Jr.

Int. J. Mod. Phys. B 15, Nos. 10-11, 1314 (2001) and Phys. Rev. C 60, 054311 (1999)

At the 10th Int'l Conf. on Recent Progress in Many Body Theories, G. Bertsch offered a prize for determining the ground state properties of 2-component fermions interacting via a zero-range potential with infinite scattering length. Baker's paper won the prize.

Relativistic Systems

Low-Energy Quantum Effective Action for Relativistic Superfluids

D. T. Son

arXiv:hep-ph/0204199

BCS-BEC crossover in relativistic superfluid and its possible realization in QCD

Yusuke Nishida and Hiroaki Abuki

Phys. Rev. D 72, 096004 (2005), arXiv:hep-ph/0504083

More on dense QCD and color superconductivitity

Related Effective Field Theories

How to Renormalize the Schroedinger Equation

G. P. Lepage

arXiv:nucl-th/9706029

Lecture notes on renormalization theory and effective field theory for nonrelativistic systems.

Two-Nucleon Systems from Effective Field Theory

D. B. Kaplan, M. J. Savage, and M. B. Wise

Nucl. Phys. B 534, 329 (1998), arXiv:nucl-th/9802075

Pionless nuclear EFT at leading order also describes Fermionic atoms with large scattering lengths.

Universality in Few-body Systems with Large Scattering Length

Eric Braaten and Hans-Werner Hammer

Phys. Rep. 428, 259 (2006), arXiv:cond-mat/041017

Focuses on systems of few bosons

Effective Lagrangian and Topological Interactions in Supersolids

D. T. Son

Phys. Rev. Lett. 94, 175301 (2005), arXiv:cond-mat/0501658

Pairing in Many-Fermion Systems: An Exact Renormalisation Group Treatment

Michael C. Birse, Boris Krippa, Judith A. McGovern, Niels R. Walet

Phys. Lett. B605, 287 (2005), arXiv:hep-ph/0406249

Functional Integral for Ultracold Fermionic Atoms

S. Diehl and C. Wetterich

Nucl. Phys. B770, 206 (2007), arXiv:cond-mat/0510407

Effective field theory and cold Fermi gases near unitary limit

Boris Krippa

arXiv:0706.4000

Renormalization Group Theory for the Imbalanced Fermi Gas

K. B. Gubbels and H. T. C. Stoof

arXiv:0711.2963


Last updated 29 May 2010, Matthew Wingate

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