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

Riegger, Luis; Orso, Giuliano; Heidrich-Meisner, Fabian

doi:10.1103/physreva.91.043623

Cited by 20 publications

(23 citation statements)

References 105 publications

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“…For other recent studies of interaction quantum quenches in the onedimensional Fermi-Hubbard model, see Refs. [50][51][52][53][54][55], and for studies of the time evolution starting from a perfect Néel state in higher dimensions, see Refs. [4,5,56].…”

Section: Introductionmentioning

confidence: 99%

Temporal decay of Néel order in the one-dimensional Fermi-Hubbard model

2015

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Motivated by recent experiments with ultracold quantum gases in optical lattices we study the decay of the staggered moment in the one-dimensional Fermi-Hubbard model starting from a perfect Néel state using exact diagonalization and the infinite-system-size time-evolving-block-decimation method. This extends previous work in which the same problem has been addressed for pure spin Hamiltonians. As a main result, we show that the relaxation dynamics of the double occupancy and of the staggered moment are different. The former is controlled by the nearest-neighbor tunneling rate while the latter is much slower and strongly dependent on the interaction strength, indicating that spin excitations are important. This difference in characteristic energy scales for the fast charge dynamics and the much slower spin dynamics is also reflected in the real-time evolution of nearest-neighbor density and spin correlations. A very interesting time dependence emerges in the von Neumann entropy, which at short times increases linearly with a slope proportional to the tunneling matrix element while the long-time growth of entanglement is controlled by spin excitations. Our predictions for the different relaxation dynamics of the staggered moment and the double occupancy should be observable in state-of-the-art optical lattice experiments. We further compare time averages of the double occupancy to the expectation values in both the canonical and diagonal ensembles, which quantitatively disagree with each other on finite systems. We relate the question of thermalization to the eigenstate thermalization hypothesis.PHYSICAL REVIEW A 91, 053628 (2015)

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Section: Introductionmentioning

confidence: 99%

Temporal decay of Néel order in the one-dimensional Fermi-Hubbard model

2015

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“…Motivated by these studies and by the experimental progress toward a realization of the 1D FFLO state in a Feshbach-resonant atomic Fermi gas (showing indirect experimental evidence through species-resolved density profiles) [62], here we study the interaction-quench dynamics of a 1D (pseudo-) spin-imbalanced attractive Fermi-Hubbard model [94]. We utilize the power of bosonization and re-fermionization available in one di-mension to treat the low-energy dynamics.…”

Section: Introduction a Background And Motivationmentioning

confidence: 99%

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

Yin¹,

Radzihovsky²

2016

Phys. Rev. A

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We study a nonequilibrium dynamics of a one-dimensional spin-imbalanced Fermi-Hubbard model following a quantum quench of on-site interaction, realizable, for example, in Feshbach-resonant atomic Fermi gases. We focus on the post-quench evolution starting from the initial BCS and FuldeFerrell-Larkin-Ovchinnikov (FFLO) ground states and analyze the corresponding spin-singlet, spintriplet, density-density, and magnetization-magnetization correlation functions. We find that beyond a light-cone crossover time, rich post-quench dynamics leads to thermalized and pre-thermalized stationary states that display strong dependence on the initial ground state. For initially gapped BCS state, the long-time stationary state resembles thermalization with the effective temperature set by the initial value of the Hubbard interaction. In contrast, while the initial gapless FFLO state reaches a stationary pre-thermalized form, it remains far from equilibrium. We suggest that such post-quench dynamics can be used as a fingerprint for identification and study of the FFLO phase.

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“…Such a scenario was considered in ref. [88] for a 1D lattice system. In particular, after a quench from zero to attractive interactions, the post‐quench state shows characteristic FFLO oscillations of the pair correlation, although with exponential decay of spatial correlations.…”

Section: Unconventional Pairing Phasesmentioning

confidence: 99%

Simulating Artificial 1D Physics with Ultra‐Cold Fermionic Atoms: Three Exemplary Themes

Dobrzyniecki

Sowiński

2020

Adv Quantum Tech

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For over twenty years, ultra‐cold atomic systems have formed an almost perfect arena for simulating different quantum many‐body phenomena and exposing their non‐obvious and very often counterintuitive features. Thanks to extremely precise controllability of different parameters they are able to capture different quantum properties which were previously recognized only as theoretical curiosities. Herein, the current experimental progress in exploring the curious 1D quantum world of fermions is traced from the perspective of three subjectively selected trends being currently under vigorous experimental validation: i) unconventional pairing in attractively interacting fermionic mixtures, ii) fermionic systems subjected to the artificial spin‐orbit coupling, iii) fermionic gases of atoms with high SU(N) symmetry of internal states.

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

Cited by 20 publications

References 105 publications

Temporal decay of Néel order in the one-dimensional Fermi-Hubbard model

Temporal decay of Néel order in the one-dimensional Fermi-Hubbard model

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

Simulating Artificial 1D Physics with Ultra‐Cold Fermionic Atoms: Three Exemplary Themes

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