Spin correlations and doublon production rate for fermionic atoms in modulated optical lattices

Tokuno, Akiyuki; Giamarchi, Thierry

doi:10.1103/physreva.85.061603

Cited by 11 publications

(9 citation statements)

References 38 publications

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“…As V Y interferes with V X this leads to a modulation in tunneling t x (t y ) of ∼ ±7% (∓17%) as well as an additional modulation of U by ±3% caused by the changing width of the Wannier functions. For the whole parameter range the response of the system is within the linear regime of double occupancy creation [33], where the creation rate is proportional to the energy absorption rate [34]. In Fig.…”

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confidence: 99%

Artificial Graphene with Tunable Interactions

et al. 2013

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We create an artificial graphene system with tunable interactions and study the crossover from metallic to Mott insulating regimes, both in isolated and coupled two-dimensional honeycomb layers. The artificial graphene consists of a two-component spin mixture of an ultracold atomic Fermi gas loaded into a hexagonal optical lattice. For strong repulsive interactions, we observe a suppression of double occupancy and measure a gapped excitation spectrum. We present a quantitative comparison between our measurements and theory, making use of a novel numerical method to obtain Wannier functions for complex lattice structures. Extending our studies to time-resolved measurements, we investigate the equilibration of the double occupancy as a function of lattice loading time.

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confidence: 99%

Artificial Graphene with Tunable Interactions

et al. 2013

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“…For fermionic atoms, an accurate measurement of the absorption energy is difficult, and a variant of the probe measuring the production rate of so-called doublons, which is the number of doubly occupied sites, induced by the lattice modulation has been proposed. [45] The doublon production rate (DPR) has been shown to be identical to the energy absorption rate both numerically and analytically [45][46][47]. This doublon measurement technique has been successfully implemented in a fermionic atom experiment [48].…”

Section: Introductionmentioning

confidence: 95%

“…In order to derive the DPR spectrum formula (30), the system is assumed to be homogeneous, so the trap is not included in the Hamiltonian. It is possible to extend this formulation to an inhomogeneous case [47]. Then the corresponding response function is replaced by…”

Section: Doublon Production Ratementioning

confidence: 99%

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Finite-temperature dynamical properties of SU(N) fermionic Hubbard models in the spin-incoherent regime

Tokuno

Giamarchi

2012

Phys. Rev. A

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We study strongly correlated Hubbard systems extended to symmetric N -component fermions. We focus on the intermediate-temperature regime between magnetic superexchange and interaction energy, which is relevant to current ultracold fermionic atom experiments. The N -component fermions are represented by slave particles, and, by using a diagrammatic technique based on the atomic limit, spectral functions are analytically obtained as a function of temperature, filling factor, and the component number N . We also apply this analytical technique to the calculation of lattice modulation experiments. We compute the production rate of double occupancy induced by modulation of an optical lattice potential. Furthermore, we extend the analysis to take into account the trapping potential by use of the local density approximation. We find an excellent agreement with recent experiments on 173 Yb atoms.

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“…This technique consists of modulating the amplitude [8][9][10] or the phase [11,12] of the optical lattice in which the atoms are trapped. After some time, the energy deposited in the system or the number of doubly occupied states are measured to characterize the underlying state [13,14].…”

Section: Introductionmentioning

confidence: 99%

Lattice modulation spectroscopy of one-dimensional quantum gases: Universal scaling of the absorbed energy

Citro

Demler

Giamarchi

et al. 2020

Phys. Rev. Research

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Lattice modulation spectroscopy is a powerful tool for probing low-energy excitations of interacting manybody systems. By means of bosonization we analyze the absorbed power in a one dimensional interacting quantum gas of bosons or fermions, subjected to a periodic drive of the optical lattice. For these Tomonaga Luttinger liquids we find a universal ω 3 scaling of the absorbed power, that at very low-frequency turns into an ω 2 scaling when scattering processes at the boundary of the system are taken into account. We confirm this behavior numerically by simulations based on time-dependent matrix product states. Furthermore, in the presence of impurities, the theory predicts an ω 2 bulk scaling. While typical response functions of Tomonaga Luttinger liquids are characterized by exponents that depend on the interaction strength, modulation spectroscopy of cold atoms leads to a universal powerlaw exponent of the absorbed power. Our findings can be readily demonstrated in ultracold atoms in optical lattices with current experimental technology.

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Spin correlations and doublon production rate for fermionic atoms in modulated optical lattices

Cited by 11 publications

References 38 publications

Artificial Graphene with Tunable Interactions

Artificial Graphene with Tunable Interactions

Finite-temperature dynamical properties of SU(N) fermionic Hubbard models in the spin-incoherent regime

Lattice modulation spectroscopy of one-dimensional quantum gases: Universal scaling of the absorbed energy

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