Atom interferometry in a vertical optical lattice

Modugno, Giovanni Carlo; Mirandes, E. de; Ferlaino, Francesca; Ott, Herwig; Roati, G.; Inguscio, M.

doi:10.1002/prop.200410187

Cited by 10 publications

(5 citation statements)

References 10 publications

(13 reference statements)

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“…This provides a method to generate a coherent superposition of distant states for the accurate measurement of the energy separation between these states. This can for instance lead to an alternative determination of g or h/m a [42,43,44,45].…”

Section: Discussionmentioning

confidence: 99%

Optical lattice clock with atoms confined in a shallow trap

Lemonde¹,

Wolf²

2005

Phys. Rev. A

112

106

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We study the trap depth requirement for the realization of an optical clock using atoms confined in a lattice. We show that site-to-site tunneling leads to a residual sensitivity to the atom dynamics hence requiring large depths ͓͑50-100͒E r for Sr͔ to avoid any frequency shift or line broadening of the atomic transition at the 10 −17 -10 −18 level. Such large depths and the corresponding laser power may, however, lead to difficulties ͑e.g., higher-order light shifts, two-photon ionization, technical difficulties͒ and therefore one would like to operate the clock in much shallower traps. To circumvent this problem we propose the use of an accelerated lattice. Acceleration lifts the degeneracy between adjacents potential wells which strongly inhibits tunneling. We show that using the Earth's gravity, much shallower traps ͑down to 5E r for Sr͒ can be used for the same accuracy goal.

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Section: Discussionmentioning

confidence: 99%

Optical lattice clock with atoms confined in a shallow trap

Lemonde¹,

Wolf²

2005

Phys. Rev. A

112

106

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“…Since the pioneering experiment [2] in 1996, this phenomenon has been intensively studied for cold atoms in optical lattices [3], with recent emphasis on quantum statistical (Fermi or Bose) and atom-atom interaction effects. In particular, the dynamics of degenerate Bose gases, on which we will focus here, was studied experimentally in [4,5,6]. It should be stressed from the very beginning that, when addressing this problem theoretically, one has to distinguish between quasi one-dimensional lattices (created by two counterpropagating laser beams) and truly 1D lattices (or socalled modulated quantum tubes).…”

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confidence: 99%

Dipole and Bloch oscillations of cold atoms in a parabolic lattice

Пономарев

Kolovsky

2006

Laser Phys.

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The paper studies the dynamics of a Bose-Einstein condensate loaded into a 1D parabolic optical lattice, and excited by a sudden shift of the lattice center. Depending on the magnitude of the initial shift, the condensate undergoes either dipole or Bloch oscillations. The effects of dephasing and of atom-atom interactions on these oscillations are discussed.1. Bloch oscillations (BO) of a quantum particle in a periodic potential are one of the most fascinating phenomena of quantum physics [1]. Since the pioneering experiment [2] in 1996, this phenomenon has been intensively studied for cold atoms in optical lattices [3], with recent emphasis on quantum statistical (Fermi or Bose) and atom-atom interaction effects. In particular, the dynamics of degenerate Bose gases, on which we will focus here, was studied experimentally in [4,5,6]. It should be stressed from the very beginning that, when addressing this problem theoretically, one has to distinguish between quasi one-dimensional lattices (created by two counterpropagating laser beams) and truly 1D lattices (or socalled modulated quantum tubes). Indeed, in the former case the number of atoms per well of the optical lattice can be as large as 10 3 − 10 4 , and a mean field approach (based on the Gross-Pitaevskii or nonlinear Schrödinger equation) is generally justified. This is not the case of the truly 1D lattices, where only few atoms occupy a single well, and, hence, a microscopic analysis is required. For a tilted infinite lattice such analysis, based on the BoseHubbard model, was presented in [7,8,9], where two regimes of BO -quasiperiodic and irreversible decaying -were identified.When referring to the typical laboratory experiments, an additional complication stems from the harmonic confinement along the lattice. Clearly, harmonic confinement should modify BO of bosonic atoms, and the aim of this work is to estimate its effect. At the same time, parabolic lattices have their own interest, because they allow to study dipole oscillations of BECs. Recent experiments [10] have shown that there is a fundamental difference between dipole oscillations in quasi-and truly 1D lattices. While in the former case the main effect of the periodic potential can be taken into account by simply substituting the atomic mass by its effective mass in the ground Bloch band [11], one observes a rapid decay of oscillations in the latter case. In the present paper we also briefly discuss dipole oscillations of a BEC in truly 1D lattices, partially overlapping in this part with recent theoretical work [12].2. We consider atoms in a parabolic lattice potential V (x) = M ω 2 x 2 /2 − V cos 2 (2πx/d), where the atoms are set into motion by a sudden shift of the trap origin. The relevant parameters of the system are the hopping matrix element J (defined by the amplitude of the periodic potential V ), the 'parabolicity' ν = M ω 2 d 2 , and the initial shift l 0 = ∆x/d. Using the single band approximation and neglecting atom-atom interactions, the dynamics of the system is described by t...

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“…Concerning the possibility to test these results, we can first look back to previous experiments. Consider for instance [17], where bosonic/fermionic atoms where loaded in a vertical lattice and released to look for interference patterns. It was observed that the posibility of bosons to collide, in opposition to polarized fermions, destroyed rapidly the coherence necessary to generate interference patterns.…”

Section: Discussionmentioning

confidence: 99%

A quantum Boltzmann equation for intrinsic decoherence in a dilute gas

Rico-Pérez,

Anglin

2019

Preprint

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We use a careful treatment of time-dependent wave-mechanical scattering to determine the conditions under which a dilute, non-degenerate quantum gas can obey a Boltzmann equation. If the gas possesses weak long-range coherence, such as may occur when a gas is quantum mechanically throttled by tunnelling through a barrier, collisions within the gas will suppress this long range coherence. We calculate its decay rate and find it to be related to the Boltzmann equation's loss term.

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Atom interferometry in a vertical optical lattice

Cited by 10 publications

References 10 publications

Optical lattice clock with atoms confined in a shallow trap

Optical lattice clock with atoms confined in a shallow trap

Dipole and Bloch oscillations of cold atoms in a parabolic lattice

A quantum Boltzmann equation for intrinsic decoherence in a dilute gas

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