Delocalization-enhanced Bloch oscillations and driven resonant tunneling in optical lattices for precision force measurements

Tarallo, M.; Alberti, Andrea; Poli, N.; Chiofalo, Maria Luisa; Wang, F.-Y.; Tino, G. M.

doi:10.1103/physreva.86.033615

Cited by 38 publications

(31 citation statements)

References 59 publications

(148 reference statements)

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“…The conventional method to map out the Bloch frequency B W in an optical lattice requires many successive destructive position measurements of the oscillating atomic wave packet, each of which requires the production of a new atomic sample. This inefficient data acquisition method seriously limits the attainable precision [6,9,10]. In this article, we explore a nonlinear opto-mechanical scenario consisting of a Bose-Einstein condensate (BEC) performing Bloch oscillations in the periodic optical potential formed inside an optical cavity strongly coupled to the atoms.…”

Section: Introductionmentioning

confidence: 99%

In situobservation of optomechanical Bloch oscillations in an optical cavity

et al. 2016

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It is shown experimentally that a Bose-Einstein condensate inside an optical cavity, operating in the regime of strong cooperative coupling, responds to an external force by an optomechanical Bloch oscillation, which can be directly observed in the light leaking out of the cavity. Previous theoretical work predicts that the frequency of this oscillation matches with that of conventional Bloch oscillations such that its in situ monitoring may help to increase the data acquisition speed in precision force measurements.

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Section: Introductionmentioning

confidence: 99%

In situobservation of optomechanical Bloch oscillations in an optical cavity

et al. 2016

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“…It is worth noting that although the backaction driven ΦM is much smaller than what has been applied in free-space experiments [47], the values of AM we observe are similar to what was applied in Refs. [38,39]. Finally, we note that our tight-binding theory predicts that in the absence of initial site-to-site coherence, the backaction induced modulation will decay.…”

mentioning

confidence: 71%

“…2, the resulting transport is similar to that in a free-space optical lattice under modulation of the lattice amplitude or phase, or of the bias force F [37][38][39]. Physically, transport occurs because the phase lag ensures that the duration for which the lattice is shallower, and therefore tunneling more effective, overlaps more with the motion in one direction than in the other.…”

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confidence: 83%

Backaction-Driven Transport of Bloch Oscillating Atoms in Ring Cavities

2014

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We predict that an atomic Bose-Einstein condensate strongly coupled to an intracavity optical lattice can undergo resonant tunneling and directed transport when a constant and uniform bias force is applied. The bias force induces Bloch oscillations, causing amplitude and phase modulation of the lattice which resonantly modifies the site-to-site tunneling. For the right choice of parameters a net atomic current is generated. The transport velocity can be oriented oppositely to the bias force, with its amplitude and direction controlled by the detuning between the pump laser and the cavity. The transport can also be enhanced through imbalanced pumping of the two counter-propagating running wave cavity modes. Our results add to the cold atoms quantum simulation toolbox, with implications for quantum sensing and metrology.PACS numbers: 37.30.+i, 03.75.Lm, 42.50.Pq Periodic potentials play a prominent role in condensed matter systems, and highlight some of the fundamental differences between classical and quantum dynamics: a quantum particle undergoes strong scattering when its de Broglie wavelength satisfies the lattice Bragg condition, and can undergo tunneling through classically forbidden regions between sites. Furthermore, if a constant bias force F is applied a quantum particle is not transported in the direction of the force but instead performs Bloch oscillations with no net displacement at a frequency ω B = F d/ , where d is the lattice period [1]. Indeed, transport of electrons in lattices with an applied DC electric field only occurs as a result of dephasing processes such as scattering from lattice defects.Cold atoms present an especially attractive platform for studies of lattice systems because all of the critical parameters governing the dynamics are tunable in real time. In particular, it is possible to control tunneling and transport by modulating the potential in time. Transport in statistical phase space has been demonstrated in pulsed lattices, realizing the quantum delta-kicked rotor [2] and leading to dynamical localization [3] and chaosassisted tunneling [4]. Directed transport has been observed through ratchet effects in driven dissipative [5] and Hamiltonian lattices [6]. Tunneling control has been achieved through harmonic shaking of lattices without [7][8][9] and with [10, 11] a bias force. It is thus possible to control the superfluid-Mott insulator transition [12,13] and to induce macroscopic delocalization [14] and transport [15] of Bloch oscillating atoms. Recently photonassisted tunneling [16] has been studied in strongly correlated quantum gases [17,18], and artificial vector gauge potentials have been generated [19].What is missing in these schemes is backaction by the atoms upon the electromagnetic fields generating the lattice. Contrast this with the strong backaction effects seen in solids, such as lattice-phonon mediated Cooper pairing and the Meissner effect in superconductors. In principle an optically trapped atomic gas causes refraction of the lattice light, but extremely ...

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“…Before closing, we emphasize that the spatial phase between the periodic lattice potential dn L and the grating dn G is a relevant parameter. This point has recently been examined in detail in the context of ultracold atoms [45]. To translate it to our system, suppose that in our 1D system, we shift the grating along the x-direction, such that d d k x = -+ (( ) ) n n q x z cos 2…”

Section: On the Phase Between The Lattice And The Gratingmentioning

confidence: 99%

The Harper–Hofstadter Hamiltonian and conical diffraction in photonic lattices with grating assisted tunneling

et al. 2015

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We propose the realization of a grating assisted tunneling scheme for tunable synthetic magnetic fields in optically induced one-and two-dimensional dielectric photonic lattices. As a signature of the synthetic magnetic fields, we demonstrate conical diffraction patterns in particular realization of these lattices, which possess Dirac points in k-space. We compare the light propagation in these realistic (continuous) systems with the evolution in discrete models representing the Harper-Hofstadter Hamiltonian, and obtain excellent agreement.

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Delocalization-enhanced Bloch oscillations and driven resonant tunneling in optical lattices for precision force measurements

Cited by 38 publications

References 59 publications

In situobservation of optomechanical Bloch oscillations in an optical cavity

In situobservation of optomechanical Bloch oscillations in an optical cavity

Backaction-Driven Transport of Bloch Oscillating Atoms in Ring Cavities

The Harper–Hofstadter Hamiltonian and conical diffraction in photonic lattices with grating assisted tunneling

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