Tunneling-induced angular momentum for single cold atoms

Menchon-Enrich, R.; McEndoo, Suzanne; Mompart, J.; Ahufinger, V.; Busch, Thomas

doi:10.1103/physreva.89.013626

Cited by 13 publications

(32 citation statements)

References 45 publications

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“…If the phase of the diagonal lattice is shifted, band gaps become large and the Dirac cone disappears. Shown is the case of ψ = (1/2 + 0.11)π and s = [ (8,8), (8,8), 14], which is used in Fig. 2 (a).…”

Section: Fig 1 (A) a λ-Type Three Level System And A Lieb Lattcementioning

confidence: 99%

Spatial adiabatic passage of massive quantum particles in an optical Lieb lattice

et al. 2020

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By adiabatically manipulating tunneling amplitudes of cold atoms in a periodic potential with a multiple sublattice structure, we are able to coherently transfer atoms from a sublattice to another without populating the intermediate sublattice, which can be regarded as a spatial analogue of stimulated Raman adiabatic passage. A key is the existence of dark eigenstates forming a flat band in a Lieb-type optical lattice. We also successfully observe a matter-wave analogue of Autler-Townes doublet using the same setup. This work shed light on a novel kind of coherent control of cold atoms in optical potentials.Interference of probability amplitudes is one of the most significant properties of quantum mechanics. In the seminal work of an electron double-slit experiment [1], building up of the interference pattern of electron wave function beautifully demonstrated nature of waveparticle duality. Quantum interference has been intensively utilized especially in the field of precision measurement such as superconducting magnetometer [2] and atom interferometry [3], and also lies at the heart of quantum information science.A three-level system is a minimal example in which quantum interference takes place. Most commonly it is considered in a context of laser coupled atomic levels, and the Hamiltonian for a Λ-type system (Fig. 1 (a)) in a rotating frame is written in the formwhere Ω 1 (Ω 2 ) denotes a laser-induced Rabi frequency which couples basis states |A with |B (|A with |C ), and δ 1 (δ 2 ) is the detuning of the corresponding laser 1 (2). A dark state cos θ|B − sin θ|C (tan θ = Ω 1 /Ω 2 ) arises as one of the eigenstate of the Hamiltonian given by Eq.(1) if the Raman resonant condition δ 1 = δ 2 is satisfied. By applying two laser pulses in so-called "counter-intuitive" order so that θ changes form 0 to π/2, the dark states smoothly evolve from |B into |C . This process is well known as Stimulated Raman Adiabatic Passage (STIRAP) [4][5][6], and has been an important technique for robust population transfer between two atomic/molecular states. Natural interests arise for a special case that the states of interest represent a matter wave of a quantum particle and the initial and the final states are spatially well isolated. Such processes, named spatial adiabatic passage (SAP), offer paradoxical "transport without transit" [7,8] where matter waves are transported without populating the intermediate spatial region. Since the concept of SAP was introduced in the context of quantum * Electronic address: taie@scphys.kyoto-u.ac.jp FIG.

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Section: Fig 1 (A) a λ-Type Three Level System And A Lieb Lattcementioning

confidence: 99%

Spatial adiabatic passage of massive quantum particles in an optical Lieb lattice

et al. 2020

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“…Assuming a successful SAP process, i.e., |a L | 2 = cos 2 θ, |a M | 2 = 0, and |a R | 2 = sin 2 θ, and casting (5) and (11) in (10) we obtain…”

Section: A Dark/bright Basismentioning

confidence: 99%

Optimal conditions for spatial adiabatic passage of a Bose-Einstein condensate

et al. 2016

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We investigate spatial adiabatic passage of a Bose-Einstein condensate in a triple well potential within the three-mode approximation. By rewriting the dynamics in the so-called time-dependent dark/dressed basis, we analytically derive the optimal conditions for the non-linear parameter and the on-site energies of each well to achieve a highly efficient condensate transport. We show that the non-linearity yields a high-efficiency plateau for the condensate transport as a function of the on-site energy difference between the outermost wells, favoring the robustness of the transport. We also analyze the case of different non-linearities in each well, which, for certain parameter values, leads to an increase of the width of this plateau. PACS numbers: 03.75.Lm, 03.75.Kk, 03.65.XpHere, V (x, t) is the external trapping potential, N is the total number of atoms in the BEC and g 1D = arXiv:1810.10452v1 [quant-ph]

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“…(12) and (13)], which depends on the ratio √ UL LU / k, as shown in Eq. (14). This ratio, and therefore the supermode transverse profiles, can be controlled by modifying the radii of the defects.…”

Section: Two-supermode Casementioning

confidence: 99%

“…Adiabatic passage processes have been extended to the external degrees of freedom of ultracold atoms [4], having been proposed for the transport of single atoms between the most distant traps of a system of three tunnelingcoupled potential wells, the so-called spatial adiabatic passage. Subsequently, spatial adiabatic passage processes have also been discussed for the transport of electrons [5], Bose-Einstein condensates (BECs) [6][7][8][9], and holes [10], for state [11] and velocity [12] filtering of neutral atoms, and also to transfer [13] and generate angular momentum states [14].…”

Section: Introductionmentioning

confidence: 99%

Spatial adiabatic passage processes in sonic crystals with linear defects

2014

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We investigate spatial adiabatic passage processes for sound wave propagation in sonic crystals, consisting of steel cylinders embedded in a water host medium, that present two linear defects. This work constitutes an extension of the well-known quantum optical rapid adiabatic passage technique to the field of sound propagation. Several spatial adiabatic passage devices are proposed by appropriately designing the geometry of the two linear defects along the propagation direction to work as a coherent multifrequency adiabatic splitter, a phase difference analyzer, and a coherent multifrequency adiabatic coupler. These devices are robust in front of fluctuations of the geometric parameter values.

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Tunneling-induced angular momentum for single cold atoms

Cited by 13 publications

References 45 publications

Spatial adiabatic passage of massive quantum particles in an optical Lieb lattice

Spatial adiabatic passage of massive quantum particles in an optical Lieb lattice

Optimal conditions for spatial adiabatic passage of a Bose-Einstein condensate

Spatial adiabatic passage processes in sonic crystals with linear defects

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