Bakhtiari, Leskinen, and Törmä Reply:

Bakhtiari, Reza; Leskinen, M. J.; Törmä, Païvi

doi:10.1103/physrevlett.102.168902

Cited by 29 publications

(33 citation statements)

References 2 publications

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“…A recent experiment [12] has realized a spin-imbalanced Fermi gas in an array of 1D systems and has demonstrated that the observed density profiles are in agreement with theoretical predictions [13][14][15]. An actual experimental proof of the presence of a spatially modulated quasicondensate in this system, expected from theory [16][17][18][19][20][21], is still lacking, which has led to a large number of proposals for schemes to probe FFLO correlations [22][23][24][25][26][27]. Many of these proposals involve the presence of an optical lattice along the 1D direction, suggesting that the Fermi-Hubbard model is the appropriate model.…”

Section: Introductionmentioning

confidence: 78%

Interaction quantum quenches in the one-dimensional Fermi-Hubbard model with spin imbalance

2015

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Using the time-dependent density matrix renormalization-group method and exact diagonalization, we study the nonequilibrium dynamics of the one-dimensional Fermi-Hubbard model following a quantum quench or a ramp of the on-site interaction strength. We are particularly interested in the nonequilibrium evolution of Fulde-Ferrell-Larkin-Ovchinnikov (FFLO) correlations, which, at finite spin polarizations and for attractive interactions, are the dominant two-body correlations in the ground state. For quenches from the noninteracting to the attractive regime, we investigate the dynamical emergence of FFLO correlations and their signatures in the pair quasi-momentum distribution function. We observe that the postquench double occupancy exhibits a maximum as the interaction strength becomes of the order of the bandwidth. Finally, we study quenches and ramps from attractive to repulsive interactions, which imprint FFLO correlations onto repulsively bound pairs. We show that a quite short ramp time is sufficient to wipe out the characteristic FFLO features in the postquench pair momentum distribution functions.

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Section: Introductionmentioning

confidence: 78%

Interaction quantum quenches in the one-dimensional Fermi-Hubbard model with spin imbalance

2015

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“…The theoretical work investigating the FFLO state in 1D has ranged from applying Bethe ansatz [22,23,39], density-matrix renormalization group [40][41][42], quantum Monte Carlo [43], tight binding models [44,45], and self-consistent mean-field solutions to the gap equation [46][47][48][49][50]. Many of these methods only strictly apply to infinite 1D systems, further relying on the uncontrolled local density approximation (LDA) to account for the effects of the trapping potential that is omnipresent in ultracold atomic experiments.…”

Section: Introductionmentioning

confidence: 99%

Trapped imbalanced fermionic superfluids in one dimension: A variational approach

et al. 2017

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We propose and analyze a variational wave function for a population-imbalanced one-dimensional Fermi gas that allows for Fulde-Ferrell-Larkin-Ovchinnikov (FFLO) type pairing correlations among the two fermion species, while also accounting for the harmonic confining potential. In the strongly interacting regime, we find large spatial oscillations of the order parameter, indicative of an FFLO state. The obtained density profiles versus imbalance are consistent with recent experimental results as well as with theoretical calculations based on combining Bethe ansatz with the local density approximation. Although we find no signature of the FFLO state in the densities of the two fermion species, we show that the oscillations of the order parameter appear in density-density correlations, both in-situ and after free expansion. Furthermore, above a critical polarization, the value of which depends on the interaction, we find the unpaired Fermi-gas state to be energetically more favorable.

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“…For instance, the radio frequency (rf) spectroscopy of the FFLO state has been a subject of inquiry [20,21]. In the case of 1D systems, studies have been made on collective mode properties [22], double occupation modulation spectroscopy [23], and Josephson junction analogies [24], as well as rf specroscopy [25]. Recently, Bragg scattering and rf spectroscopy were proposed for observing the FFLO state in quasi-1D systems [26].…”

Section: Introductionmentioning

confidence: 99%

Collective modes and the speed of sound in the Fulde-Ferrell-Larkin-Ovchinnikov state

Heikkinen

Törmä

2011

Phys. Rev. A

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We consider the density response of a spin-imbalanced ultracold Fermi gas in an optical lattice in the Fulde-Ferrell-Larkin-Ovchinnikov (FFLO) state. We calculate the collective mode spectrum of the system in the generalised random phase approximation and find that though the collective modes are damped even at zero tempererature, the damping is weak enough to have well-defined collective modes. We calculate the speed of sound in the gas and show that it is anisotropic due to the anisotropy of the FFLO pairing, which implies an experimental signature for the FFLO state.

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Bakhtiari, Leskinen, and Törmä Reply:

Cited by 29 publications

References 2 publications

Interaction quantum quenches in the one-dimensional Fermi-Hubbard model with spin imbalance

Interaction quantum quenches in the one-dimensional Fermi-Hubbard model with spin imbalance

Trapped imbalanced fermionic superfluids in one dimension: A variational approach

Collective modes and the speed of sound in the Fulde-Ferrell-Larkin-Ovchinnikov state

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