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arXiv:1312.3402 · Physical Review A

Periodic array of Bose-Einstein condensates in a magnetic lattice

Smitha Jose, P. Surendran, Y. Wang, I. Herrera, Leszek Krzemień, S. Whitlock, Russell McLean, Andrei I. Sidorov, Peter Hannaford

Published May 14, 2014• 42 citations
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Abstract

We report the realization of a periodic array of Bose-Einstein condensates (BECs) of $^{87}\mathrm{Rb}$ $F=1$ atoms trapped in a one-dimensional magnetic lattice close to the surface of an atom chip. A clear signature for the onset of BEC in the magnetic lattice is provided by in situ site-resolved radio-frequency spectra, which exhibit a pronounced bimodal distribution consisting of a narrow component characteristic of a BEC together with a broad thermal cloud component. Similar bimodal distributions are found for various sites across the magnetic lattice. The realization of a periodic array of BECs in a magnetic lattice represents a major step towards the implementation of magnetic lattices for quantum simulation of many-body condensed matter phenomena in lattices of complex geometry and arbitrary period.

DOI
10.1103/physreva.89.051602

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We report the realization of a periodic array of Bose-Einstein condensates (BECs) of 87Rb^{87}\mathrm{Rb}87Rb F=1F=1F=1 atoms trapped in a one-dimensional magnetic lattice close to the surface of an atom chip. A clear signature for the onset of BEC in the magnetic lattice is provided by in situ site-resolved radio-frequency spectra, which exhibit a pronounced bimodal distribution consisting of a narrow component characteristic of a BEC together with a broad thermal cloud component. Similar bimodal distributions are found for various sites across the magnetic lattice. The realization of a periodic array of BECs in a magnetic lattice represents a major step towards the implementation of magnetic lattices for quantum simulation of many-body condensed matter phenomena in lattices of complex geometry and arbitrary period.
This thesis reports the realization of Bose-Einstein condensation (BEC) of 87Rb F=1 atoms in multiple sites of a one-dimensional 10 μm-periods magnetic lattice. The magnetic microtraps are created by a perpendicularly magnetized, multi-layered structure of TbGdFeCo film integrated on to an atom chip, together with uniform bias magnetic fields. Clear signatures for the onset of quantum degeneracy in multiple sites of the the magnetic lattice are provided by in-situ site-resolved radio-frequency spectroscopy
We report site-resolved radio-frequency spectroscopy measurements of Bose-Einstein condensates of 87Rb^{87}\mathrm{Rb}87Rb atoms in about 100 sites of a one-dimensional (1D) 10-$\ensuremath{\mu}\mathrm{m}$-period magnetic lattice produced by a grooved magnetic film plus bias fields. Site-to-site variations of the trap bottom, atom temperature, condensate fraction, and chemical potential indicate that the magnetic lattice is remarkably uniform, with variations in the trap bottoms of only $\ifmmode\pm\else\textpm\fi{}\phantom{\rule{4pt}{0ex}}0.4$ mG. At the lowest trap frequencies (radial and axial frequencies of 1.5 kHz and 260 Hz, respectively), temperatures down to 0.$16\ensuremath{\mu}\mathrm{K}$ are achieved in the magnetic lattice, and at the smallest trap depths (50 kHz) condensate fractions up to 80% are observed. With increasing radial trap frequency (up to 20 kHz, or aspect ratio up to $\ensuremath{\sim}80)$ large condensate fractions persist, and the highly elongated clouds approach the quasi-1D Bose gas regime. The temperature estimated from analysis of the spectra is found to increase by a factor of about 5, which may be due to suppression of rethermalizing collisions in the quasi-1D Bose gas. Measurements for different holding times in the lattice indicate a decay of the atom number with a half-life of about 0.9 s due to three-body losses and the appearance of a high-temperature $(\ensuremath{\sim}1.5$ $\ensuremath{\mu}\mathrm{K})$ component which is attributed to atoms that have acquired energy through collisions with energetic three-body decay products.
In recent years, ultracold atoms trapped in periodic lattices have attracted much attention as a simulator for condensed matter systems because of the ability to manipulate and precisely control the ultracold atoms. Periodic arrays of magnetic microtraps patterned on a magnetic film provide a potential complementary tool to conventional optical lattices for trapping arrays of ultracold atoms. Compared to optical lattices, magnetic lat- tices allow a higher degree of design flexibility by allowing almost arbitrary lattice geometries and they also allow lower technical noise and state-selective trapping of atoms. This paper reports the trapping of ultracold 87Rb atoms in 0.7 μm-period triangular and square magnetic lattices integrated on an atom chip as a step towards using magnetic lattices as a new platform for simulating condensed matter and quantum many-body phenomena in nontrivial lattice geometries.
An array of square current-carrying wires is proposed to construct a two-dimensional (2D) array of surface magneto-optical traps and Ioffe magnetic ones for realizing a 2D lattice of Bose-Einstein condensations (BECs) on an atom chip. Our study shows that when a vertical homogeneous bias magnetic field is only used, the wires will form a 2D array of quadrupole magnetic traps, which can be used to construct 2D lattice of surface magneto-optical micro-traps. While another horizontal homogeneous bias field is added simultaneously, the above 2D array of quadrupole micro-traps will be changed as an array of surface Ioffe micro-traps, which can be used to form a 2D magnetic lattice and then realize a 2D array of BECs. The dynamic loading process of cold (87)Rb atoms from each micro-MOT into Ioffe micro-trap is studied by using Monte-Carlo simulations, and our results show that the scheme can be used to realize a natural and effective loading of cold atoms from 2D array of micro-MOTs into 2D array of Ioffe micro-traps, and the loading efficiency can be reach ~ 65%. Moreover, the positions of each BEC (or MOT) in 2D array of magnetic micro-traps can be controlled by adjusting the currents in the wires or by changing the additional vertical bias field.
We propose one-dimensional (1D) and two-dimensional (2D) arrays of magnetic surface microtraps for cold alkali atoms using some arrays of current-carrying wires and we calculate the spatial distributions of magnetic fields from the 1D and 2D arrays of current-carrying wires. The field gradients and curvatures from a single magnetic microtrap are analysed, and some interesting and periodic magnetic-well microstructures are found. The result shows that a magnetic-field gradient greater than 2.4 × 10 5 G/cm and a field curvature greater than 4.05 × 10 8 G/cm 2 can be generated in our array of magnetic microtraps, which can be used to realize the 1D and 2D arrays of Bose-Einstein condensations (or 1D and 2D arrays of Bose clusters) by rf-induced evaporative cooling, and then to form 1D and 2D atomic magnetic lattices, even to prepare 1D and 2D photonic crystals.
This article reviews the development in our laboratory of magnetic lattices comprising periodic arrays of magnetic microtraps created by patterned magnetic films to trap periodic arrays of ultracold atoms. Recent achievements include the realisation of multiple Bose-Einstein condensates in a 10 μ\muμm-period one-dimensional magnetic lattice; the fabrication of sub-micron-period square and triangular magnetic lattice structures suitable for quantum tunnelling experiments; the trapping of ultracold atoms in a sub-micron-period triangular magnetic lattice; and a proposal to use long-range interacting Rydberg atoms to achieve spin-spin interactions between sites in a large-spacing magnetic lattice.