Permanent magnetic lattices for ultracold atoms and quantum degenerate gases

Ghanbari, Saeed; Kieu, Tien D.; Sidorov, Andrei; Hannaford, Peter

doi:10.1088/0953-4075/39/4/009

Cited by 71 publications

(126 citation statements)

References 31 publications

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“…Equation (16) is in agreement with the expressions given in [4] where this magnetic lattice has been studied in detail. We note that, according to (14b), for a symmetrical 2D lattice with non-zero magnetic potential minima, we should have t 2 = t 1 .…”

Section: Two Crossed Arrays Of Parallel Rectangular Magnetssupporting

confidence: 87%

“…The sum of this configuration and a similar one displaced by a/2 along the x-axis gives an infinite periodic array of parallel rectangular magnets with periodicity a along the y-direction and the same magnetization M z and thickness t [ figure 1(d)]. For distances from the surface which are large compared with a/2π, the components of the magnetic field are [4] B x = 0 (1a)…”

Section: Single Periodic Array Of Square Magnetsmentioning

confidence: 99%

“…For a symmetrical 2D magnetic lattice with non-zero potential minima above the surface of the top array, we have the constraints which are the same as in [4] …”

Section: Single Periodic Array Of Square Magnetsmentioning

confidence: 99%

See 2 more Smart Citations

A class of permanent magnetic lattices for ultracold atoms

Ghanbari¹,

Kieu²,

Hannaford³

2007

J. Phys. B: At. Mol. Opt. Phys.

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Abstract. We report on a class of configurations of permanent magnets on an atom chip for producing 1D and 2D periodic arrays of magnetic microtraps with non-zero potential minima and variable barrier height for trapping and manipulating ultracold atoms and quantum degenerate gases. We present analytical expressions for the relevant physical quantities and compare them with our numerical results and with some previous numerical calculations. In one of the configurations of permanent magnets, we show how it is possible by changing the angle between the crossed periodic arrays of magnets to go from a 1D array of 2D microtraps to a 2D array of 3D microtraps and thus to continuously vary the barrier heights between the microtraps. This suggests the possibility of performing a type of 'mechanical' BEC to Mott insulator quantum phase transition in a magnetic lattice. We also discuss a configuration of magnets which could realize a two-qubit quantum gate in a magnetic lattice.

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Section: Two Crossed Arrays Of Parallel Rectangular Magnetssupporting

confidence: 87%

Section: Single Periodic Array Of Square Magnetsmentioning

confidence: 99%

See 1 more Smart Citation

A class of permanent magnetic lattices for ultracold atoms

Ghanbari¹,

Kieu²,

Hannaford³

2007

J. Phys. B: At. Mol. Opt. Phys.

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“…To introduce the model with the double-peak spatial modulation, we replace the underlying equations (7), (8) by more general ones,…”

Section: The 1d Model With a Pair Of Singular-modulation Peaksmentioning

confidence: 99%

One- and two-dimensional solitons supported by singular modulation of quadratic nonlinearity

Lutsky

Malomed

2015

Phys. Rev. A

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We introduce a model of one-and two-dimensional (1D and 2D) optical media with the χ (2) nonlinearity whose local strength is subject to cusp-shaped spatial modulation, χ (2) ∼ r −α , with α > 0, which can be induced by spatially nonuniform poling. Using analytical and numerical methods, we demonstrate that this setting supports 1D and 2D fundamental solitons, at α < 1 and α < 2, respectively. The 1D solitons have a small instability region, while the 2D solitons have a stability region at α < 0.5 and are unstable at α > 0.5. 2D solitary vortices are found too. They are unstable, splitting into a set of fragments, which eventually merge into a single fundamental soliton pinned to the cusp. Spontaneous symmetry breaking of solitons is studied in the 1D system with a symmetric pair of the cusp-modulation peaks.

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“…Recently, magnetic lattices have been created using permanent magnetic materials fabricated with specific patterns to create periodically distributed non-zero magnetic local minima in one and two-dimensional configurations [2,4]. Ultracold atoms and Bose-Einstein condensates (BECs) prepared in so-called low magnetic field seeking-states, can be trapped in such periodically distributed magnetic local minima to create the magnetic lattices configurations [6,23].…”

Section: Introductionmentioning

confidence: 99%

Adiabatically induced coherent Josephson oscillations of ultracold atoms in an asymmetric two-dimensional magnetic lattice

Abdelrahman¹,

Hannaford²,

Alameh³

2009

Opt. Express

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Abstract:We propose a new method to create an asymmetric twodimensional magnetic lattice which exhibits magnetic band gap structure similar to semiconductor devices. The quantum device is assumed to host bound states of collective excitations formed in a magnetically trapped quantum degenerate gas of ultracold atoms such as a Bose-Einstein condensate (BEC) or a degenerate Fermi gas. A theoretical framework is established to describe possible realization of the exciton-Mott to discharging Josephson states oscillations in which the adiabatically controlled oscillations induce ac and dc Josephson atomic currents where this effect can be used to transfer n Josephson qubits across the asymmetric twodimensional magnetic lattice. We consider second-quantized Hamiltonians to describe the Mott insulator state and the coherence of multiple tunneling between adjacent magnetic lattice sites where we derive the self consistent non-linear Schrödinger equation with a proper field operator to describe the exciton Mott quantum phase transition via the induced Josephson atomic current across the n magnetic bands.

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Permanent magnetic lattices for ultracold atoms and quantum degenerate gases

Cited by 71 publications

References 31 publications

A class of permanent magnetic lattices for ultracold atoms

A class of permanent magnetic lattices for ultracold atoms

One- and two-dimensional solitons supported by singular modulation of quadratic nonlinearity

Adiabatically induced coherent Josephson oscillations of ultracold atoms in an asymmetric two-dimensional magnetic lattice

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