Built on

L. Onsager, Crystal statistics. I. A two-dimensional model with an order-disorder transition, Phys. Rev. 65
1944
Earlier work this paper cites.
L.P. Kadanoff, Operator algebra and the determination of critical indices, Phys. Rev. Lett. 23
1969
Earlier work this paper cites.
K. G. Wilson, Non-Lagrangian models of current algebra, Phys. Rev. 179
1969
Earlier work this paper cites.
A. Polyakov, Properties of long and short range correlations in critical region, Sov. Phys. JETP 30
1970
Earlier work this paper cites.
K.G. Wilson and W. Zimmermann, Operator product expansions and composite field operators in the general framework of quantum field theory, Comm. Math. Phys. 24
1972
Earlier work this paper cites.
J.T. Stewart, J.P. Gaebler, T.E. Drake, and D.S. Jin, Verification of universal relations in a strongly interacting Fermi gas, Phys. Rev. Lett. 104
Original
1987
Earlier work this paper cites.
M.W. Zwierlein, Z. Hadzibabic, S. Gupta, and W. Ketterle, Spectroscopic insensitivity to cold collisions in a two-state mixture of fermions, Phys. Rev. Lett. 91
2003
Earlier work this paper cites.
S.Y. Chang, V.R. Pandharipande, J. Carlson, and K.E. Schmidt, Quantum Monte Carlo studies of superfluid Fermi gases, Phys. Rev. A 70
2004
Earlier work this paper cites.
G.E. Astrakharchik, J. Boronat, J. Casulleras, and S. Giorgini, Equation of state of a Fermi gas in the BEC-BCS crossover: a quantum Monte Carlo study, Phys. Rev. Lett. 93
2004
Earlier work this paper cites.
D.S. Petrov, C. Salomon, and G.V. Shlyapnikov, Weakly bound dimers of fermionic atoms, Phys. Rev. Lett. 93
2004
Earlier work this paper cites.
J.E. Thomas, J. Kinast, and A. Turlapov, Virial theorem and universality in a unitary Fermi gas, Phys. Rev. Lett. 95
2005
Earlier work this paper cites.
G.B. Partridge, K.E. Strecker, R.I. Kamar, M.W. Jack, and R.G. Hulet, Molecular probe of pairing in the BEC-BCS crossover, Phys. Rev. Lett. 95
2005
Earlier work this paper cites.
E. Braaten and H. W. Hammer, Universality in Few-body Systems with Large Scattering Length, Phys. Rept. 428
2006
Earlier work this paper cites.
C. Lobo, I. Carusotto, S. Giorgini, A. Recati, and S. Stringari, Pair correlations of an expanding superfluid Fermi gas, Phys. Rev. Lett. 97
2006
Earlier work this paper cites.
Z. Yu and G. Baym, Spin-correlation functions in ultracold paired atomic-fermion systems: Sum rules, self-consistent approximations, and mean fields, Phys. Rev. A 73
2006
Earlier work this paper cites.

Similar

R. Combescot, S. Giorgini, and S. Stringari, Molecular signatures in the structure factor of an interacting Fermi gas, Europhys. Lett. 75
2006
Cited alongside, same era.
D. T. Son and M. Wingate, General coordinate invariance and conformal invariance in nonrelativistic physics: Unitary Fermi gas, Annals of Physics 321
2006
Cited alongside, same era.
M. Punk and W. Zwerger, Theory of rf-Spectroscopy of strongly interacting fermions, Phys. Rev. Lett. 99
Original
2007
Cited alongside, same era.
G. Baym, C.J. Pethick, Z. Yu, and M.W. Zwierlein, Coherence and clock shifts in ultracold Fermi gases with resonant interactions, Phys. Rev. Lett. 99
Original
2007
Cited alongside, same era.
S. Tan, Energetics of a strongly correlated Fermi gas, Annals of Physics 323
2008

Then

R. Haussmann, M. Punk, and W. Zwerger, Spectral functions and rf response of ultracold fermionic atoms, Phys. Rev. A 80
Original
2009
Later among the works it cites.
Z. Yu, G.M. Bruun, and G. Baym, Short-range correlations and entropy in ultracold-atom Fermi gases, Phys. Rev. A 80
Original
2009
Later among the works it cites.
M. Punk, P.T. Dumitrescu, and W. Zwerger, Polaron to molecule transition in a strongly imbalanced Fermi gas, Phys. Rev. A 80
Original
2009
Later among the works it cites.
P. Pieri, A. Perali, and G.C. Strinati, Enhanced paraconductivity-like fluctuations in the radiofrequency spectra of ultracold Fermi atoms, Nature Physics 5
Original
2009
Later among the works it cites.
F. Werner, L. Tarruell, and Y. Castin, Number of closed-channel molecules in the BEC-BCS crossover, Eur. Phys. J. B 68

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2010

Universal Relations for Fermions with Large Scattering Length

Braaten, Eric

Understand

The behavior of fermions with two spin states that interact with a large scattering length is constrained by universal relations that hold for any state of the system.

These relations involve a central property of the system called the contact, which measures the number of pairs of fermions with different spins that have small separations.
The contact controls the thermodynamics of the system as well as the large-momentum and high-frequency tails of correlation functions.
This review summarizes the current theoretical and experimental status of these universal relations.

Built on

L. Onsager, Crystal statistics. I. A two-dimensional model with an order-disorder transition, Phys. Rev. 65
1944
Earlier work this paper cites.
L.P. Kadanoff, Operator algebra and the determination of critical indices, Phys. Rev. Lett. 23
1969
Earlier work this paper cites.
K. G. Wilson, Non-Lagrangian models of current algebra, Phys. Rev. 179
1969
Earlier work this paper cites.
A. Polyakov, Properties of long and short range correlations in critical region, Sov. Phys. JETP 30
1970
Earlier work this paper cites.
K.G. Wilson and W. Zimmermann, Operator product expansions and composite field operators in the general framework of quantum field theory, Comm. Math. Phys. 24
1972
Earlier work this paper cites.
J.T. Stewart, J.P. Gaebler, T.E. Drake, and D.S. Jin, Verification of universal relations in a strongly interacting Fermi gas, Phys. Rev. Lett. 104
Original
1987
Earlier work this paper cites.
M.W. Zwierlein, Z. Hadzibabic, S. Gupta, and W. Ketterle, Spectroscopic insensitivity to cold collisions in a two-state mixture of fermions, Phys. Rev. Lett. 91
2003
Earlier work this paper cites.
S.Y. Chang, V.R. Pandharipande, J. Carlson, and K.E. Schmidt, Quantum Monte Carlo studies of superfluid Fermi gases, Phys. Rev. A 70
2004
Earlier work this paper cites.
G.E. Astrakharchik, J. Boronat, J. Casulleras, and S. Giorgini, Equation of state of a Fermi gas in the BEC-BCS crossover: a quantum Monte Carlo study, Phys. Rev. Lett. 93
2004
Earlier work this paper cites.
D.S. Petrov, C. Salomon, and G.V. Shlyapnikov, Weakly bound dimers of fermionic atoms, Phys. Rev. Lett. 93
2004
Earlier work this paper cites.
J.E. Thomas, J. Kinast, and A. Turlapov, Virial theorem and universality in a unitary Fermi gas, Phys. Rev. Lett. 95
2005
Earlier work this paper cites.
G.B. Partridge, K.E. Strecker, R.I. Kamar, M.W. Jack, and R.G. Hulet, Molecular probe of pairing in the BEC-BCS crossover, Phys. Rev. Lett. 95
2005
Earlier work this paper cites.
E. Braaten and H. W. Hammer, Universality in Few-body Systems with Large Scattering Length, Phys. Rept. 428
2006
Earlier work this paper cites.
C. Lobo, I. Carusotto, S. Giorgini, A. Recati, and S. Stringari, Pair correlations of an expanding superfluid Fermi gas, Phys. Rev. Lett. 97
2006
Earlier work this paper cites.
Z. Yu and G. Baym, Spin-correlation functions in ultracold paired atomic-fermion systems: Sum rules, self-consistent approximations, and mean fields, Phys. Rev. A 73
2006
Earlier work this paper cites.

Similar

R. Combescot, S. Giorgini, and S. Stringari, Molecular signatures in the structure factor of an interacting Fermi gas, Europhys. Lett. 75
2006
Cited alongside, same era.
D. T. Son and M. Wingate, General coordinate invariance and conformal invariance in nonrelativistic physics: Unitary Fermi gas, Annals of Physics 321
2006
Cited alongside, same era.
M. Punk and W. Zwerger, Theory of rf-Spectroscopy of strongly interacting fermions, Phys. Rev. Lett. 99
Original
2007
Cited alongside, same era.
G. Baym, C.J. Pethick, Z. Yu, and M.W. Zwierlein, Coherence and clock shifts in ultracold Fermi gases with resonant interactions, Phys. Rev. Lett. 99
Original
2007
Cited alongside, same era.
S. Tan, Energetics of a strongly correlated Fermi gas, Annals of Physics 323
2008