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Acta Physica Sinica

Controllable four-well optical trap for cold atoms or molecules

Lu Jun-Fa, Ji Xian-Ming, Yin Jian-Ping, (1)华东师范大学物理系，光谱学与波谱学教育部重点实验室，上海 200062; (2)华东师范大学物理系，光谱学与波谱学教育部重点实验室，上海 200062;东华理工学院物理系，抚州 344000; (3)华东师范大学物理系，光谱学与波谱学教育部重点实验室，上海 200062;南通大学物理系，南通 226007

Published Jan 1, 2006• 0 citations
Publisher

Abstract

In this paper, we propose a novel scheme to build a controllable four-well optical trap for cold atoms or molecules by using an optical system of a binary π-phase plate and a lens illuminated by a plane light wave. We calculate the intensity distribution of the four-well optical trap, and discuss the evolution process of the optical trap from four wells to two wells or form four wells to a single well, and derive some analytical relations between the characteristic parameters of the four-well trap (including geometric parameters, intensity distribution, intensity gradients and their curvatures) and the parameters of the optical lens system. Our study shows that our four-well trap can be continuously changed into a double-well one or a single-well one by moving the π-phase plate, and the relation between the distance of the trapping centers of the four wells or two wells and the moving distance of the π-phase plate is obtained by data fitting. So our four-well trap scheme has important and wide potential aplications in the fields of ultracold atomic physics, cold molecular physics, atom optics, molecule optics and quantum optics,and even in the fields of quantum calculation and information processing, and so on.

DOI
10.7498/aps.55.1740

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In this paper, we propose a novel scheme to build a controllable four-well optical trap for cold atoms or molecules by using an optical system of a binary π-phase plate and a lens illuminated by a plane light wave. We calculate the intensity distribution of the four-well optical trap, and discuss the evolution process of the optical trap from four wells to two wells or form four wells to a single well, and derive some analytical relations between the characteristic parameters of the four-well trap (including geometric parameters, intensity distribution, intensity gradients and their curvatures) and the parameters of the optical lens system. Our study shows that our four-well trap can be continuously changed into a double-well one or a single-well one by moving the π-phase plate, and the relation between the distance of the trapping centers of the four wells or two wells and the moving distance of the π-phase plate is obtained by data fitting. So our four-well trap scheme has important and wide potential aplications in the fields of ultracold atomic physics, cold molecular physics, atom optics, molecule optics and quantum optics,and even in the fields of quantum calculation and information processing, and so on.
In this paper, we propose a novel scheme to form a controllable doublewell opt i cal trap for cold atoms or molecules by using a system composed of a binary π phase plate and a lens illuminated by a plane light wave. We calculate the int ensi ty distribution of the doublewell trap, and study the evolution process of th e optical trap from two wells to a single well, and derive the analytical relation between the characteristic parameters of the doublewell trap (includi ng g eometric parameters, the intensity distributions, intensity gradients and their curvatures) and the parameters of optical system. We find that our doublewell trap can be continuously changed into a singlewell trap by moving the πphas e pl ate along the x direction, and the relation between the distance of the trap ping centers of the two wells and the moving distance of the πphase plate is obt ain ed by data fitting. In addition, our doublewell scheme is not only simple and c onvenient, but also has some important and wide applications in the fields of at omic physics, atom optics, molecule optics and quantum optics and so on.
We propose a novel, to our knowledge, scheme to form a controllable double-well optical dipole trap for cold atoms (or molecules) by using an optical system composed of a binary pi-phase plate and a lens illuminated by a plane light wave. We calculate the intensity distribution of the double-well trap and derive the analytical relationships between the characteristic parameters of the double-well trap (including geometric parameters, intensity distributions, and intensity gradients and their curvatures) and the relative aperture beta of the lens system. We also extend our controllable double-well trap to its trap array by using a binary pi-phase grating combined with an array of spherical microlenses. Our study shows that, if the pi-phase plate (or the pi-phase grating) is moved along the x direction, our double-well trap (or array of double-well ones) can continuously evolve to a single-well one (or an array of single-well ones) and vice versa, which can be used to study cold collisions between two atomic (or molecular) samples and atom interference with Bose-Einstein condensation (BEC) in a double-well potential; to prepare quantum entanglement between two macroscopic atomic assembles, even to realize an all-optical double-well atomic (molecular) BEC (including an array of all-optical double-well BECs) by using optical-potential evaporative cooling; to form a novel optical lattice with a larger lattice constant; and so on.
we expound a novel scheme to form a controllable eight-well optical trap by using an optical system of a binary-phase plate composed by liquid crystal and a lens illuminated by a plane light wave.We discuss the bidirectional evolution process of the optical trap from eight-well to four-well,double-well or single-well.The result shows that the proposed eight-well trap can be continuously changed into a four-well,double-well or single-well trap by changing the brewage phase distributing of liquid crystal room optical modulator and vice versa.We also discuss the possibly important appliance of the eight-well optical trap in atom or molecule optical and in other fields.
A novel scheme was proposed to form the double-well optical trap by using shift phase gratings. A few pairs of adjustable double-well optical traps for trapping cold atoms or cold molecules were formed on the focal plane when the gratings were illuminated by plane light wave (or TEM00 mode Gaussian light wave) and focused by positive lens. The intensity distribution was calculated, and then the intensity distribution gradients as well as the analytical relations between geometrical parameters of the traps and the parameters of the optical system were derived. At the same time, three different evolution processes from double-well to unit-well were investigated. Also, optical dipole potential and photon scattering rate of the trapped cold atoms were calculated. The results show that the scheme not only is simple and convenient to realize, but also has wide application prospect in many fields, such as atomic physics, atomic optics, molecular optics and quantum optics.
In this paper, an experimental scheme of a controllable double-well optical trap for cold atoms (molecules) is briefly introduced, and the fabrication method of a binary π-phase plate and the experimental results to generate a controllable double-well optical trap are reported. In the experiment, we investigated the dependence of the double-well parameters (such as the spatial position of optical double-well, the spacing between the centers of two wells and the relative intensity distributions and so on) on the phase errors of the π-phase plate, and the change of double-well intensities resulting from errors in the engraving depth of the binary π-phase plate as well as the evolution of the optical trap from two wells to single one are studied both theoretically and experimentally. Experimental results consistent with theoretical prediction are obtained.
In this paper, we propose a novel scheme to produce a longitudinal controllable double-well optical dipole trap for cold atoms (or cold molecules), which is composed of a binary π-phase plate and a lens. The π-phase plate consists of two homocentric rings with equal area and opposite phase (0 and π), and its central region is opaque. When a plane light wave passes through the above optical system, a double-well optical trap will be formed at two sides of the focal point along the optical axis. The outer radius of the binary π-phase plate can be controlled by adjusting the radius of a diaphragm, so that a double-well optical trap will evolve and finally combined into a single-well, or vice versa. We briefly introduce the basic principle and derive several optimal parameters of the trap, and show the dependence of the optical parameters (including intensity distributions) on the geometrical parameters of the system. Our study shows that the proposed controllable optical trap can be used not only to trap cold atoms (or cold molecules) and realize all-optical, double-well or two species Bose-Einstein condensation (BEC), but also to study the trapped-atom (-molecule) interference, or form a 2D array of double-layer optical traps for cold atoms (or molecules), even to prepare a novel 2D optical lattice, and so on.