Goldstone and Higgs Hydrodynamics in the BCS–BEC Crossover

We discuss the derivation of a low-energy effective field theory of phase (Goldstone) and amplitude (Higgs) modes of the pairing field from a microscopic theory of attractive fermions. The coupled equations for Goldstone and Higgs fields are critically analyzed in the Bardeen–Cooper–Schrieffer (BCS)...

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Published inCondensed matter Vol. 2; no. 2; p. 22
Main Author Salasnich, Luca
Format Journal Article
LanguageEnglish
Published Basel MDPI AG 01.06.2017
Subjects
BCS–BEC crossover
Crossovers
Fermions
Field theory
Fluid dynamics
Fluid flow
Fluids
Fourier transforms
Gases
Hydrodynamics
Investigations
Quantum field theory
Superfluidity
Variations
Velocity
Vortices
Italy
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Abstract We discuss the derivation of a low-energy effective field theory of phase (Goldstone) and amplitude (Higgs) modes of the pairing field from a microscopic theory of attractive fermions. The coupled equations for Goldstone and Higgs fields are critically analyzed in the Bardeen–Cooper–Schrieffer (BCS)-to-Bose–Einstein condensate (BEC) crossover—both in three spatial dimensions and in two spatial dimensions. The crucial role of pair fluctuations is investigated, and the beyond-mean-field Gaussian theory of the BCS–BEC crossover is compared with available experimental data of the two-dimensional ultracold Fermi superfluid.
AbstractList We discuss the derivation of a low-energy effective field theory of phase (Goldstone) and amplitude (Higgs) modes of the pairing field from a microscopic theory of attractive fermions. The coupled equations for Goldstone and Higgs fields are critically analyzed in the Bardeen–Cooper–Schrieffer (BCS)-to-Bose–Einstein condensate (BEC) crossover—both in three spatial dimensions and in two spatial dimensions. The crucial role of pair fluctuations is investigated, and the beyond-mean-field Gaussian theory of the BCS–BEC crossover is compared with available experimental data of the two-dimensional ultracold Fermi superfluid.
Author Salasnich, Luca
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CitedBy_id crossref_primary_10_1140_epjb_s10051_024_00649_9
crossref_primary_10_1103_PhysRevA_100_053622
crossref_primary_10_1103_PhysRevA_100_063634
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Cites_doi 10.1209/epl/i2006-10023-y
10.1103/PhysRevLett.79.4950
10.1103/PhysRevLett.116.045303
10.1007/BF01028373
10.1103/PhysRevA.92.023620
10.1103/PhysRev.60.356
10.1103/PhysRevB.89.054511
10.1038/srep04109
10.1088/0953-8984/25/40/404211
10.1016/j.physrep.2016.06.003
10.1016/j.physrep.2005.02.005
10.1103/PhysRevLett.118.130402
10.1103/PhysRevA.74.063626
10.1088/0022-3719/6/7/010
10.1007/BF00683774
10.1088/1367-2630/11/2/023011
10.1103/PhysRevLett.112.045301
10.1126/science.1100818
10.1016/j.aop.2010.09.005
10.1103/PhysRevA.93.013614
10.1126/science.aac9725
10.1103/PhysRevA.60.4171
10.1103/PhysRevB.93.180504
10.1103/PhysRevLett.115.010401
10.1103/PhysRevA.74.042717
10.1103/PhysRevA.84.013623
10.1103/PhysRevA.78.053626
10.1103/PhysRevLett.39.1201
10.1038/nature02199
10.1103/PhysRevB.55.15153
10.1146/annurev-conmatphys-031214-014350
10.1103/PhysRevA.91.011604
10.1103/PhysRevB.93.014519
10.1103/PhysRevA.77.043609
10.1103/PhysRevLett.116.045302
10.1103/PhysRevA.92.063636
10.1103/PhysRevA.77.023626
10.1038/srep45702
10.1103/PhysRevA.88.053612
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References ref13
ref12
ref15
ref14
ref11
ref10
Berezinskii (ref21) 1972; 34
Nagaosa (ref25) 1999
ref17
ref16
ref19
ref46
ref45
ref48
ref47
ref42
ref41
Khalatnikov (ref43) 1965
ref44
Stoof (ref27) 2009
ref49
ref8
ref7
ref9
ref4
ref3
ref6
Altland (ref26) 2006
ref5
Larkin (ref18) 2005
ref40
ref35
ref34
ref37
ref36
ref31
ref30
ref33
Popov (ref39) 1983
ref32
ref2
ref1
ref38
ref24
ref23
ref20
ref22
ref28
Tempere (ref29) 2012
References_xml – ident: ref31
  doi: 10.1209/epl/i2006-10023-y
– start-page: 1
  year: 2012
  ident: ref29
  contributor:
    fullname: Tempere
– ident: ref3
  doi: 10.1103/PhysRevLett.79.4950
– ident: ref10
  doi: 10.1103/PhysRevLett.116.045303
– ident: ref46
  doi: 10.1007/BF01028373
– ident: ref13
  doi: 10.1103/PhysRevA.92.023620
– ident: ref40
  doi: 10.1103/PhysRev.60.356
– ident: ref48
  doi: 10.1103/PhysRevB.89.054511
– ident: ref20
  doi: 10.1038/srep04109
– ident: ref37
  doi: 10.1088/0953-8984/25/40/404211
– ident: ref16
  doi: 10.1016/j.physrep.2016.06.003
– ident: ref19
  doi: 10.1016/j.physrep.2005.02.005
– ident: ref47
  doi: 10.1103/PhysRevLett.118.130402
– ident: ref30
  doi: 10.1103/PhysRevA.74.063626
– ident: ref22
  doi: 10.1088/0022-3719/6/7/010
– ident: ref32
  doi: 10.1007/BF00683774
– ident: ref42
  doi: 10.1088/1367-2630/11/2/023011
– ident: ref17
– year: 2006
  ident: ref26
  contributor:
    fullname: Altland
– ident: ref7
  doi: 10.1103/PhysRevLett.112.045301
– year: 1983
  ident: ref39
  contributor:
    fullname: Popov
– ident: ref2
  doi: 10.1126/science.1100818
– ident: ref35
  doi: 10.1016/j.aop.2010.09.005
– ident: ref49
  doi: 10.1103/PhysRevA.93.013614
– ident: ref6
  doi: 10.1126/science.aac9725
– ident: ref4
  doi: 10.1103/PhysRevA.60.4171
– ident: ref38
  doi: 10.1103/PhysRevB.93.180504
– year: 1965
  ident: ref43
  contributor:
    fullname: Khalatnikov
– year: 1999
  ident: ref25
  contributor:
    fullname: Nagaosa
– ident: ref8
  doi: 10.1103/PhysRevLett.115.010401
– ident: ref44
  doi: 10.1103/PhysRevA.74.042717
– year: 2005
  ident: ref18
  contributor:
    fullname: Larkin
– year: 2009
  ident: ref27
  contributor:
    fullname: Stoof
– ident: ref36
  doi: 10.1103/PhysRevA.84.013623
– ident: ref45
– volume: 34
  start-page: 610
  year: 1972
  ident: ref21
  article-title: Destruction of long-range order in one-dimensional and two-dimensional systems possessing a continuous symmetry group. II. Quantum systems
  publication-title: Sov. Phys. JETP
  contributor:
    fullname: Berezinskii
– ident: ref41
  doi: 10.1103/PhysRevA.78.053626
– ident: ref24
  doi: 10.1103/PhysRevLett.39.1201
– ident: ref1
  doi: 10.1038/nature02199
– ident: ref33
  doi: 10.1103/PhysRevB.55.15153
– ident: ref28
  doi: 10.1146/annurev-conmatphys-031214-014350
– ident: ref12
  doi: 10.1103/PhysRevA.91.011604
– ident: ref15
  doi: 10.1103/PhysRevB.93.014519
– ident: ref5
  doi: 10.1103/PhysRevA.77.043609
– ident: ref9
  doi: 10.1103/PhysRevLett.116.045302
– ident: ref14
  doi: 10.1103/PhysRevA.92.063636
– ident: ref34
  doi: 10.1103/PhysRevA.77.023626
– ident: ref23
  doi: 10.1038/srep45702
– ident: ref11
  doi: 10.1103/PhysRevA.88.053612
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StartPage 22
SubjectTerms BCS–BEC crossover
Crossovers
Fermions
Field theory
Fluid dynamics
Fluid flow
Fluids
Fourier transforms
Gases
Hydrodynamics
Investigations
Quantum field theory
Superfluidity
Variations
Velocity
Vortices
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Title Goldstone and Higgs Hydrodynamics in the BCS–BEC Crossover
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