Observation of Photon-Assisted Tunneling in Optical Lattices

Sias, Carlo; Lignier, Hans; Singh, Yeshpal; Zenesini, Alessandro; Ciampini, Donatella; Morsch, O.; Arimondo, E.

doi:10.1103/physrevlett.100.040404

Cited by 225 publications

(326 citation statements)

References 29 publications

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“…A further experimental setup closely related to condensed matter systems consists of ultracold atoms in tilted optical lattice potentials. Several fundamental quantum mechanical processes related to nonequilibrium transport of particles have been observed in this setup such as, e.g., Landau-Zener tunneling [6], Bloch oscillations [7,8], and processes analogous to photon-assisted tunneling [9].…”

Section: Introductionmentioning

confidence: 99%

Phonon resonances in atomic currents through Bose-Fermi mixtures in optical lattices

et al. 2010

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We present an analysis of Bose-Fermi mixtures in optical lattices for the case where the lattice potential of the fermions is tilted and the bosons (in the superfluid phase) are described by Bogoliubov phonons. It is shown that the Bogoliubov phonons enable hopping transitions between fermionic Wannier-Stark states; these transitions are accompanied by energy dissipation into the superfluid and result in a net atomic current along the lattice. We derive a general expression for the drift velocity of the fermions and find that the dependence of the atomic current on the lattice tilt exhibits negative differential conductance and phonon resonances. Numerical simulations of the full dynamics of the system based on the time-evolving block decimation algorithm reveal that the phonon resonances should be observable under the conditions of a realistic measuring procedure.

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Section: Introductionmentioning

confidence: 99%

Phonon resonances in atomic currents through Bose-Fermi mixtures in optical lattices

et al. 2010

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“…Theoretical models based on Floquet's theorem are being developed to simulate systems in regimes otherwise inaccessible in conventional condensed matter materials [2][3][4][5][6][7][8][9][10][11][12][13][14][15][16][17][18] . Experimentally, cold atoms' unique controllability was employed to observe dynamical localisation and phase-coherence in strongly shaken bosonic systems [19][20][21][22][23][24] . This paved the way towards generating extremely strong artificial magnetic fields 25 in lattice models, which recently culminated in the realisation of the Harper-Hofstadter model 26,27 , the Quantum Spin Hall Effect 28,29 , and Floquet topological insulators 30,31 .…”

Section: Introductionmentioning

confidence: 99%

Stroboscopic versus nonstroboscopic dynamics in the Floquet realization of the Harper-Hofstadter Hamiltonian

Bukov

Polkovnikov

2014

Phys. Rev. A

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We study the stroboscopic and non-stroboscopic dynamics in the Floquet realization of the HarperHofstadter Hamiltonian. We show that the former produces the evolution expected in the highfrequency limit only for observables which commute with the operator to which the driving protocol couples. On the contrary, non-stroboscopic dynamics is capable of capturing the evolution governed by the Floquet Hamiltonian of any observable associated with the effective high-frequency model. We provide exact numerical simulations for the dynamics of the number operator following a quantum cyclotron orbit on a 2 × 2 plaquette, as well as the chiral current operator flowing along the legs of a 2 × 20 ladder. The exact evolution is compared with its stroboscopic and non-stroboscopic counterparts, including finite-frequency corrections.

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“…Moreover, the general scheme of developing link-resolved control of tunneling by use of an inhomogeneous potential and global field addressing may be transportable to strongly-correlated studies. In an optical lattice simulator, for example, tunable inhomogeneous potentials may be created by projective methods [82][83][84], and global addressing via laser-assisted tunneling [85,86] may be used to reintroduce site-to-site coupling in a link-dependent fashion, allowing local control over tunneling amplitudes and phases.…”

Section: V Conclusionmentioning

confidence: 99%

Atom-optics approach to studying transport phenomena

Gadway

2015

Phys. Rev. A

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We present a simple experimental scheme, based on standard atom optics techniques, to design highly versatile model systems for the study of single particle quantum transport phenomena. The scheme is based on a discrete set of free-particle momentum states that are coupled via momentumchanging two-photon Bragg transitions, driven by pairs of interfering laser beams. In the effective lattice models that are accessible, this scheme allows for single-site detection, as well as site-resolved and dynamical control over all system parameters. We discuss two possible implementations, based on state-preserving Bragg transitions and on state-changing Raman transitions, which respectively allow for the study of nearly arbitrary single particle Abelian U(1) and non-Abelian U(2) lattice models. -for the quantum simulation of myriad physical phenomena, especially those related to condensed matter [4,5].For the study of single electron transport phenomena, photonic [6][7][8][9][10][11] and cold atom [12][13][14][15][16][17][18][19][20] simulators have made great progress in the experimental exploration of disordered and topological systems, while offering largely complementary capabilities and challenges. Photonic simulators generally permit control of system parameters and the detection of probability distributions at the microscopic, site-resolved level. However, the use of real materials as the medium for light transport makes these systems susceptible to inherent disorder in sample preparation [21] and to absorption in the material [22], and makes simulations in higher spatial dimensions and timedependent control of system parameters non-trivial. For cold atoms, pristine and dynamically variable potential landscapes can be constructed based on their interaction with laser light. However, a microscopic control over system parameters is difficult to realize in atomic systems. Moreover, finite temperatures and the absence of hardwall system boundaries have limited the observation of topological phenomena.Here, we propose an atom optics-based [23][24][25][26] approach to the study of coherent transport phenomena, which incorporates many of the desired features of atomic and photonic experimental platforms. The scheme we describe is motivated in spirit by magnetic resonance-based * bgadway@illinois.edu techniques for local manipulation via global field addressing [27,28]. In the context of studying transport phenomena, however, we consider an inhomogeneous landscape of site energies, with unique energy differences between neighboring sites, which defines unique tunneling resonances for each site-to-site link. Combined with global field addressing that can drive transitions between neighboring sites, and in particular by simultaneous driving of many such transitions in an amplitude, frequency, and phase-controlled manner, this would allow for local control over the parameters of a discrete lattice model relevant to myriad coherent transport phenomena.Atom optics offers a natural candidate system featuring a quadratic energy lan...

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Observation of Photon-Assisted Tunneling in Optical Lattices

Cited by 225 publications

References 29 publications

Phonon resonances in atomic currents through Bose-Fermi mixtures in optical lattices

Phonon resonances in atomic currents through Bose-Fermi mixtures in optical lattices

Stroboscopic versus nonstroboscopic dynamics in the Floquet realization of the Harper-Hofstadter Hamiltonian

Atom-optics approach to studying transport phenomena

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