Publisher's Note: Pairing states of a polarized Fermi gas trapped in a one-dimensional optical lattice [Phys. Rev. B<b>76</b>, 220508 (2007)]

Feiguin, A. E.; Heidrich-Meisner, Fabian

doi:10.1103/physrevb.78.099903

Cited by 82 publications

(178 citation statements)

References 0 publications

Supporting

Mentioning

154

Contrasting

Order By: Relevance

“…8,9 on the basis of Bethe-Ansatz calculations. In particular the partially polarized core of the gas is expected to be a superfluid of the Fulde-Ferrell-Larkin-Ovchinnikov (FFLO) type 10,11 , as confirmed by exact numerical simulations 12 .…”

Section: Introductionmentioning

confidence: 89%

See 1 more Smart Citation

Fermionic trimers in spin-dependent optical lattices

Orso¹,

Jolicœur²

2011

Comptes Rendus. Physique

View full text Add to dashboard Cite

We investigate the formation of three-body bound states (trimers) in two-component Fermi gases confined in one dimensional optical lattice with spin-dependent tunneling rates. The binding energy and the effective mass of the trimer are obtained from the solution of the Mattis integral equation generalized to the case of unequal Bloch masses. We show that this equation admits multiple solutions corresponding to excited bound states, which are only stable for large mass asymmetry.

show abstract

Section: Introductionmentioning

confidence: 89%

“…The corresponding energy levels E = E n are obtained from the condition 1 = y n (E), where the function y n (E) is defined in Eq. (12). To understand this fact we notice that R E (k) = R E is constant for t ↓ = 0, so from Eq.…”

Section: Excited Bound Statesmentioning

confidence: 96%

Fermionic trimers in spin-dependent optical lattices

Orso¹,

Jolicœur²

2011

Comptes Rendus. Physique

View full text Add to dashboard Cite

show abstract

“…If the imbalanced superfluid phase of 1D fermion gases posseses FFLO-type pairing correlations (as indicated * Electronic address: sheehy@lsu.edu theoretically [11][12][13][14][15][16]), and if the LDA holds (so that the uniform case phase diagram is relevant for a trapped gas), then trapped 1D imbalanced Fermi gases may provide the best opportunity to observe signatures of the FFLO state.…”

Section: Introductionmentioning

confidence: 99%

Pairing correlations in a trapped one-dimensional Fermi gas

2015

View full text Add to dashboard Cite

We use a BCS-type variational wavefunction to study attractively-interacting quasi onedimensional (1D) fermionic atomic gases, motivated by cold-atom experiments that access the 1D regime using an anisotropic harmonic trapping potential (with trapping frequencies ωx = ωy ωz) that confines the gas to a cigar-shaped geometry. To handle the presence of the trap along the zdirection, we construct our variational wavefunction from the harmonic oscillator Hermite functions that are the eigenstates of the single-particle problem. Using an analytic determination of the effective interaction among harmonic oscillator states along with a numerical solution of the resulting variational equations, we make specific experimental predictions for how pairing correlations would be revealed in experimental probes like the local density and the momentum correlation function.

show abstract

“…In particular, in one dimension (1D), where a true condensation is prohibited, the existence of an FFLO-type state with quasi-long range order has been proven by means of analytical [7,8] as well as numerically exact approaches [9][10][11][12]. This also pertains to the experimentally relevant case of a harmonic trap [10][11][12].It is then natural to ask whether such quasi-FFLO states seen in 1D are stable against coupling chains to 2D or 3D ensembles, in order to connect the aforementioned theoretical results for 1D to those available for 2D [6,[13][14][15][16]. For 1D chains weakly coupled to a 3D array, the polarization-interaction phase diagram has recently been derived in Refs.…”

mentioning

confidence: 99%

Pair Correlations of a Spin-Imbalanced Fermi Gas on Two-Leg Ladders

Feiguin

Heidrich-Meisner²

2009

Phys. Rev. Lett.

Self Cite

View full text Add to dashboard Cite

We study the pair correlations of a spin-imbalanced two-leg ladder with attractive interactions, using the density matrix renormalization group method (DMRG). We identify regions in the phase diagram spanned by the chemical potential and the magnetic field that can harbor Fulde-FerrellLarkin-Ovchinnikov (FFLO)-like physics. Results for the pair structure factor, exhibiting multiple pairing wave-vectors, substantiate the presence of FFLO-like correlations. We further discuss phase separation scenarios induced by a harmonic trap, which differ from the case of isolated chains.The experimental realization of fermionic superfluids in ultracold atom gases under clean conditions and with a great control over interactions has paved the way toward a detailed understanding of the BEC-BCS crossover of spin-balanced, ultracold Fermi gases [1]. Now, the case of a polarized two-component Fermi gas, realized by unequally populating the two lowest hyperfine states, has moved into the focus of current experimental work [2].Intriguing properties such as phase separation in a trap and the transition from superfluidity to a normal state driven by the population imbalance have attracted a great deal of attention, but it is, in particular, the search for exotic superfluids such as the FFLO one [3,4] that drives the current interest in imbalanced Fermi gases. In an FFLO state, the order parameter is spatially inhomogeneous with Cooper pairs with a finite center-of-mass momentum. In recent experiments on three dimensional (3D) ultracold gases, this state remains elusive, and theoretical work indicates that in 3D, the phase space volume of this phase in the interaction-polarization plane is small [5]. Yet, reducing the spatial dimension renders this pairing mechanism more effective as a larger portion of the Fermi surfaces of minority and majority spins can be matched [6]. In particular, in one dimension (1D), where a true condensation is prohibited, the existence of an FFLO-type state with quasi-long range order has been proven by means of analytical [7,8] as well as numerically exact approaches [9][10][11][12]. This also pertains to the experimentally relevant case of a harmonic trap [10][11][12].It is then natural to ask whether such quasi-FFLO states seen in 1D are stable against coupling chains to 2D or 3D ensembles, in order to connect the aforementioned theoretical results for 1D to those available for 2D [6,[13][14][15][16]. For 1D chains weakly coupled to a 3D array, the polarization-interaction phase diagram has recently been derived in Refs. [6,7,12,17]. Here we present a rigorous and quasi-exact numerical analysis of pairing correlations in two coupled chains, using DMRG [18].The physics of spin [19] and Hubbard ladders [20] has proven to be unique and interesting in itself, due to the emergence of exotic quantum phases -such as spin liquids -driven by strong correlations [19]. The experimentally realization of ladders in optical lattices as arrays of double wells could be an important step toward understanding the experimen...

show abstract

Publisher's Note: Pairing states of a polarized Fermi gas trapped in a one-dimensional optical lattice [Phys. Rev. B76, 220508 (2007)]

Cited by 82 publications

References 0 publications

Fermionic trimers in spin-dependent optical lattices

Fermionic trimers in spin-dependent optical lattices

Pairing correlations in a trapped one-dimensional Fermi gas

Pair Correlations of a Spin-Imbalanced Fermi Gas on Two-Leg Ladders

Contact Info

Product

Resources

About