Quench dynamics of the spin-imbalanced Fermi-Hubbard model in one dimension

Yin, Xiao; Radzihovsky, Leo

doi:10.1103/physreva.94.063637

Cited by 13 publications

(16 citation statements)

References 114 publications

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“…In 1D no continuous symmetries are spontaneously broken, and only power-law decaying correlations exist. However the qualitative results match well with the knowledge obtained by exact methods in 1D [138,139,140,141,26].…”

supporting

confidence: 85%

“…Similar decay of the FFLO correlations in the pair momentum distribution were found also in Refs. [266,267,26]. However also interestingly the work suggests that features in the spin-density are more robust and offer a possible way for detecting the FFLO state in the expansion of a 1D gas.…”

Section: Ramps and Quenchesmentioning

confidence: 87%

“…where the factor 2/3 is added to compensate for the fact that two spin components are here described by a 3 × 3 matrix. In the above matrix (26), all couplings from theĉ ↑k field to the ↓ fields are included, but not all couplings are in turn included for the ↓ fermions. For instance according to equation (25),ĉ ↓q−k couples to bothĉ † ↑k andĉ † ↑k−2q .…”

Section: Bogoliubov Transformation In the Fflo Casementioning

confidence: 99%

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The Fulde–Ferrell–Larkin–Ovchinnikov state for ultracold fermions in lattice and harmonic potentials: a review

et al. 2018

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We review the concepts and the present state of theoretical studies of spin-imbalanced superfluidity, in particular the elusive Fulde-Ferrell-Larkin-Ovchinnikov (FFLO) state, in the context of ultracold quantum gases. The comprehensive presentation of the theoretical basis for the FFLO state that we provide is useful also for research on the interplay between magnetism and superconductivity in other physical systems. We focus on settings that have been predicted to be favourable for the FFLO state, such as optical lattices in various dimensions and spin-orbit coupled systems. These are also the most likely systems for near-future experimental observation of the FFLO state. Theoretical bounds, such as Bloch's and Luttinger's theorems, and experimentally important limitations, such as finite-size effects and trapping potentials, are considered. In addition, we provide a comprehensive review of the various ideas presented for the observation of the FFLO state. We conclude our review with an analysis of the open questions related to the FFLO state, such as its stability, superfluid density, collective modes and extending the FFLO superfluid concept to new types of lattice systems.

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supporting

confidence: 85%

Section: Ramps and Quenchesmentioning

confidence: 87%

Section: Bogoliubov Transformation In the Fflo Casementioning

confidence: 99%

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The Fulde–Ferrell–Larkin–Ovchinnikov state for ultracold fermions in lattice and harmonic potentials: a review

et al. 2018

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“…The Fermi-Hubbard model is a minimal model used to describe correlated electrons in solids, and provides an accurate description of ongoing experiments with ultracold fermions in optical lattices [43]. After early theoretical studies of quantum quenches in the Fermi-Hubbard model in dimensions higher than one [44][45][46][47][48][49], recent works have focused on quantum quenches in the 1D Fermi-Hubbard model [50][51][52][53][54][55][56][57][58][59][60][61][62][63], which is a quintessential integrable model [27].…”

Section: Introductionmentioning

confidence: 99%

Quantum dynamics of impenetrable SU(N) fermions in one-dimensional lattices

2019

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We study quantum quench dynamics in the Fermi-Hubbard model, and its SU(N ) generalizations, in one-dimensional lattices in the limit of infinite onsite repulsion between all flavors. We consider families of initial states with generalized Neel order, namely, initial state in which there is a periodic N -spin pattern with consecutive fermions carrying distinct spin flavors. We introduce an exact approach to describe the quantum evolution of those systems, and study two unique transient phenomena that occur during expansion dynamics in finite lattices. The first one is the dynamical emergence of Gaussian one-body correlations during the melting of sharp (generalized) Neel domain walls. Those correlations resemble the ones in the ground state of the SU(N ) model constrained to the same spin configurations. This is explained using an emergent eigenstate solution to the quantum dynamics. The second phenomenon is the transformation of the quasimomentum distribution of the expanding strongly interacting SU(N ) gas into the rapidity distribution after long times. Finally, we study equilibration in SU(N ) gasses and show that observables after equilibration are described by a generalized Gibbs ensemble. Our approach can be used to benchmark analytical and numerical calculations of dynamics of strongly correlated SU(N ) fermions at large U . :1903.10521v3 [cond-mat.quant-gas] arXiv

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“…Here Luttinger liquid correlations [14,15] in a system of initially decoupled 1D chains are imprinted upon two-dimensional Dirac fermions. This is accomplished via a quantum quench [16][17][18][19][20][21][22][23][24][25] that couples together the chains into a 2D pi-flux lattice model (see Fig. 1).…”

mentioning

confidence: 99%

Fractionalization Waves in Two-Dimensional Dirac Fermions: Quantum Imprint from One Dimension

Davis

Foster

2019

Phys. Rev. Lett.

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Particle fractionalization is believed to orchestrate the physics of many strongly correlated systems, yet its direct experimental detection remains a challenge. We propose a simple measurement for an ultracold matter system, in which correlations in initially decoupled 1D chains are imprinted via quantum quench upon two-dimensional Dirac fermions. Luttinger liquid correlations launch relativistic "fractionalization waves" along the chains, while coupling noninteracting chains induces perpendicular dispersion. These could be easily distinguished in an ultracold gas experiment. arXiv:1809.01166v2 [cond-mat.quant-gas] 5 Feb 2019 (1) where c m,n annihilates a fermion at site {x, y} = {m, n}a of the square lattice, a is the lattice spacing, and J > 0 is the hopping energy. The dimensionless anisotropy parameter b controls the strength of the staggered vertical hopping (see Fig. 1). We work with spinless fermions without loss of generality. Spin-1/2 particles would be advantageous in an ultracold fermion experiment, as decoupled Hubbard chains in the prequench state give a particular way to realize tunable charge fractionalization via the on-site Hubbard U interaction (at densities away from half-filling) [15]. Apart from this, physical spin will not impact the dynamics discussed here.

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Quench dynamics of the spin-imbalanced Fermi-Hubbard model in one dimension

Cited by 13 publications

References 114 publications

The Fulde–Ferrell–Larkin–Ovchinnikov state for ultracold fermions in lattice and harmonic potentials: a review

The Fulde–Ferrell–Larkin–Ovchinnikov state for ultracold fermions in lattice and harmonic potentials: a review

Quantum dynamics of impenetrable SU(N) fermions in one-dimensional lattices

Fractionalization Waves in Two-Dimensional Dirac Fermions: Quantum Imprint from One Dimension

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