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Physics Today

Bose Condensates are Coherent Inside and Outside an Atom Trap

Barbara Goss Levi

Published Mar 1, 1997• 2 citations
Publisher

Abstract

When Wolfgang Ketterle and his colleagues at MIT demonstrated an “atom laser” recently, the announcement excited the physics community and naturally grabbed the attention of the popular press. One essential property of a laser is, of course, its coherence, and the evidence provided by the MIT group is striking: Sharp interference fringes formed when two Bose–Einstein condensates from the same trap expanded and overlapped after being released from confinement. The fringes are reminiscent of the interference between coherent light waves emanating from a double slit. (See the figure below.)

DOI
10.1063/1.881708

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When Wolfgang Ketterle and his colleagues at MIT demonstrated an “atom laser” recently, the announcement excited the physics community and naturally grabbed the attention of the popular press. One essential property of a laser is, of course, its coherence, and the evidence provided by the MIT group is striking: Sharp interference fringes formed when two Bose–Einstein condensates from the same trap expanded and overlapped after being released from confinement. The fringes are reminiscent of the interference between coherent light waves emanating from a double slit. (See the figure below.)
Interference between two freely expanding Bose-Einstein condensates has been observed. Two condensates separated by approximately 40 micrometers were created by evaporatively cooling sodium atoms in a double-well potential formed by magnetic and optical forces. High-contrast matter-wave interference fringes with a period of approximately 15 micrometers were observed after switching off the potential and letting the condensates expand for 40 milliseconds and overlap. This demonstrates that Bose condensed atoms are "laser-like"; that is, they are coherent and show long-range correlations. These results have direct implications for the atom laser and the Josephson effect for atoms.
The experimental observation of Bose–Einstein condensation (BEC) in rubidium in 1995 demonstrated that a macroscopic number of bosons could be produced in a single quantum state of trapped atoms. The occupation of a single quantum state by a large number of identical bosons is the matter-wave analog of the storage of photons in a single mode of a laser cavity. In a conventional laser, one extracts a coherent beam of photons from a cavity by using a partially transmitting mirror as an output coupler. In 1997, Wolfgang Ketterle and his collaborators at MIT built a pulsed output coupler that extracted matter waves from a condensate, and they observed interference between atoms from two separate condensates, thereby demonstrating an atom laser for the first time (see PHYSICS TODAY, March 1997, page 17).
Bose–Einstein condensates of particles behave in many ways like coherent radiation fields, and the realization of Bose–Einstein condensation in dilute gases has opened up the experimental study of many aspects of interactions between coherent matter waves. In addition, the existence of these dilute trapped quantum gases has prompted a re-examination of a number of theoretical issues. This field is a vast one, and in this chapter we shall touch briefly on selected topics. In Sec. 13.1 we describe the classic interference experiment, in which two clouds of atoms are allowed to expand and overlap. Rather surprisingly, an interference pattern is produced even though initially the two clouds are completely isolated. We shall analyse the reasons for this effect. The marked decrease in density fluctuations in a Bose gas when it undergoes Bose–Einstein condensation is demonstrated in Sec. 13.2. Gaseous Bose–Einstein condensates can be manipulated by lasers, and this has made possible the study of coherent matter wave optics. We describe applications of these techniques to observe solitons, Bragg scattering, and non-linear mixing of matter waves in Sec. 13.3. The atom laser and amplification of matter waves is taken up in Sec. 13.4. How to characterize Bose–Einstein condensation microscopically is the subject of Sec. 13.5, where we also consider fragmented condensates. Interference of two condensates One of the striking manifestations of the wave nature of Bose–Einstein condensates is the observation of an interference pattern when two condensed and initially separated clouds are allowed to overlap. An example is shown in Fig. 13.1.
Quantum interference is ubiquitous to many (if not all) quantum processes and phenomena, for it is a direct manifestation of their inherent coherence. Experiments based on matter wave interferometry [1] constitute very nice empirical evidences of this property. Though the first diffraction experiments were carried out with electrons [2], nowadays the (matter) particles utilized range from large atoms and single molecules [3-6] to very complex, large molecules [7] and Bose-Einstein condensates (BECs) [8]. This kind of experiments, apart from confirming the wave nature of matter, has also given rise to important practical applications. For example, sensing, metrology or quantum information processing are potential applications which have motivated in the last few years the remarkable development of BEC interferometry [9-11]. This can be observed in the increasing amount of (theoretical and T&F Cat # K11224, Chapter 13, Page 198, 15-9-2010 experimental) work appearing in the literature [12-18] since the first experimental evidence of interference between two freely expanding BECs [19]. The basic scheme upon which this type of interferometry is based is depicted in Figure 13.1. In the first stage (left), the atomic cloud is cooled down in a magnetic trap until condensation takes place. Then (right), the BEC is split up coherently by means of radio-frequency [16] or microwave fields [17]. Finally, the double-well-like trapping potential [20] is switched off, releasing the two resulting BECs, which will interfere by free expansion (e.g., see Figure 6 of Ref. [18] as an illustration of a real experimental outcome).