Reflection of cold atoms from an array of current-carrying wires

Lau, David C.W.; Sidorov, Andrei; Opat, G. I.; McLean, Russell J.; Rowlands, W. J.; Hannaford, Peter

doi:10.1007/s100530050244

Cited by 56 publications

(32 citation statements)

References 0 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…We focus on ultra-cold atoms bouncing on an oscillating atom mirror in the presence of the gravitational field [73] (for the stationary mirror experiments see [74][75][76][77][78][79][80][81]) but the phenomena we investigate can be realized in any periodically driven system which can reveal nonlinear resonances in the classical description [82]. The singleparticle Hamiltonian, in the gravitational units and in the frame oscillating with the mirror [83], reads…”

Section: The Modelmentioning

confidence: 99%

Topological time crystals

et al. 2019

View full text Add to dashboard Cite

By analogy with the formation of space crystals, crystalline structures can also appear in the time domain. While in the case of space crystals we often ask about periodic arrangements of atoms in space at a moment of a detection, in time crystals the role of space and time is exchanged. That is, we fix a space point and ask if the probability density for detection of a system at this point behaves periodically in time. Here, we show that in periodically driven systems it is possible to realize topological insulators, which can be observed in time. The bulk-edge correspondence is related to the edge in time, where edge states localize. We focus on two examples: Su-Schrieffer-Heeger model in time and Bose Haldane insulator which emerges in the dynamics of a periodically driven many-body system. 5 Note that due to the negative effective mass m eff , the first energy band is the highest in energy. 2 New J. Phys. 21 (2019) 052003 where = ¢ J J i 2and J 2i−1 =J, which is identical to the SSH model [86]. The latter describes spinless fermions hopping on a 1D-lattice with staggered hopping amplitudes. Changing the ratio λ 1 /λ in (1), allows one to control the ratio ¢ J J . This effective Hamiltonian belongs to the BDI class of the periodic table of the topological insulators and superconductors [87] and is characterized by a  topological invariant, the winding number ν. For an infinite system with ¢ > J J ( ¢ < J J ), the system is in a topological (trivial) phase with winding number ν=1 (ν=0). For a finite system, the topological phase exhibits zero energy edge states protected by the topology of the bulk. The SSH model has been experimentally realized in quantum simulators and both the presence of edge states and the winding number have been measured [63][64][65]. Let us emphasize that the Wannier states w i (x, t) of equation (2) are localized wavepackets of the effective SSH Hamiltonian of equation (3). We then discuss how such states allow one to detect the topology of the SSH Hamiltonian. corresponding to quasi-energies closest to zero, see top panel. In the topological phase, these eigenstates have zero quasi-energy and are linear combinations of the edge states localized at the edge of time. That is, in the laboratory frame, a detector is placed close to the oscillating mirror (x≈0) and the probability density of clicking of the detector is shown versus time for different values of the ratio ¢ J J of the tunneling amplitudes in (3). This behavior is repeated with the period 2π/ω. At sωt/(2π)=1 and sωt/(2π)=40 there are edges where the eigenstate localizes if ¢ > J J 1. The results correspond to ω=0.067, λ=0.06 in (1) and are obtained within the quantum secular approach [84], see the appendix.

show abstract

Section: The Modelmentioning

confidence: 99%

Topological time crystals

et al. 2019

View full text Add to dashboard Cite

show abstract

“…With 372 parallel conductor stripes, the structure has a total length of 743µm and a width of 100µm. Driven with currents as indicated in Figure 5c, a magnetic lattice potential [17,18,19] of 4µm period is generated.…”

Section: B Atom-optics Chipsmentioning

confidence: 99%

Combined chips for atom optics

et al. 2005

View full text Add to dashboard Cite

We present experiments with Bose-Einstein condensates on a combined atom chip. The combined structure consists of a large-scale "carrier chip" and smaller "atom-optics chips", containing micron-sized elements. This allows us to work with condensates very close to chip surfaces without suffering from fragmentation or losses due to thermally driven spin flips. Precise three-dimensional positioning and transport with constant trap frequencies are described. Bose-Einstein condensates were manipulated with submicron accuracy above atom-optics chips. As an application of atom chips, a direction sensitive magnetic field microscope is demonstrated.

show abstract

“…10 This technique dates back to the Stern-Gerlach experiment and continues to be employed in several recent demonstrations of magnetic lenses and mirrors. [11][12][13][14][15][16][17][18] Because many experiments involve high velocity beams with a narrow energy distribution, 6,[19][20][21][22] manipulation techniques for these particular cases merit further development. In this Note, we report the use of a planar Halbach array 23 to either deflect or to specularly reflect a high-velocity, nearly monoenergetic beam of neutral atoms in a spin-sensitive manner.…”

mentioning

confidence: 99%

Note: Manipulation of supersonic atomic beams with static magnetic fields

Gardner

Castillo-Garza

Raizen

2013

The Journal of Chemical Physics

View full text Add to dashboard Cite

The inhomogeneous magnetic field of a permanent-magnet planar Halbach array is used to either deflect or to specularly reflect a supersonic beam of neutral atoms. Metastable neon and helium beams are tested to experimentally evaluate the performance of this array in a range of configurations. Results are compared with numerical simulations and the device is presented as a high precision tool for the manipulation of neutral atom beams.

show abstract

Reflection of cold atoms from an array of current-carrying wires

Cited by 56 publications

References 0 publications

Topological time crystals

Topological time crystals

Combined chips for atom optics

Note: Manipulation of supersonic atomic beams with static magnetic fields

Contact Info

Product

Resources

About