The present invention relates to a device for differential inertial measurement by atom interferometry.
Performing acceleration measurements or gravity field measurements by atom interferometry is known. To this end, cooled atoms are provided by a source of atoms, then are subjected to an acceleration measurement by using an atom interferometry system. The result of the measurement is obtained from a detection of the distribution of the atoms over different atomic states. This result of acceleration or gravity measurement depends on the location where the measurement is carried out, i.e. to the location where the atoms are located at the time of the measurement by atom interferometry.
Performing differential acceleration or gravity measurements is also known, in order to determine spatial variations of the distribution of these fields. To this end, two separate measurements are carried out simultaneously at locations apart from each other, where atomic interferences are produced separately. The precision which is obtained for the value of the acceleration gradient or of the gravity gradient depends on the precision of the two acceleration measurements themselves, and also on the precision with which the distance of separation between these measurement locations is known. In particular, this precision is improved when the separation distance is increased between the two locations where the simultaneous acceleration measurements are carried out.
Moreover, a need exists for devices which are capable of measuring spatial variations of acceleration or gravity, called gradiometers, which are compact and inexpensive, while providing gradient measurement results with a precision as high as possible.
The article entitled “Sensitive absolute-gravity gradiometry using atom interferometry”, by J. M. McGuirk et al., Physical Review A, vol. 65, 033608 (2002), describes a gradiometer which is constituted by two separate sources of cold atoms, which are arranged so as to separately supply atoms to separate atom interferometry systems. Each source of atoms is individually dedicated to one of the atom interferometry systems. In this way, the interferometry systems can be apart from one another with a significant separation distance, for example of the order of 1 m (metre), so that the distance between the locations of the acceleration measurements which are performed simultaneously is known with a high relative precision. But such a design of gradiometer is complex and expensive, as it comprises two independent sources of cold atoms.
Another drawback of such a system with two sources of atoms which are separate, results from the possible existence of a difference between initial velocities of the atoms which are produced respectively by the two sources. Such a difference may result in particular from a difference between the intensities of the laser beams which are used for cooling the atoms separately in each of the sources. It is difficult to precisely control one with respect to one another the two intensities of the laser beams which are used for cooling. This difference between the initial velocities then causes a bias in the difference between the results of the acceleration measurements which are obtained for each set of atoms. Moreover, this bias may fluctuate over time, because of a possible drift in the intensities of the laser beams used for cooling.
The article which is entitled “102hk large area atom interferometers”, by S. Chiow et al., Physical Review Letters, vol. 107, 130403 (2011), describes how to simultaneously produce two acceleration measurements by using two different atom interferometers which are supplied with atoms from one and the same source of cold atoms. In this way, the bias which could be caused by a difference between the initial velocities of atoms which originate from separate sources is prevented. To this purpose, in the system of S. Chiow, a single initial cluster of atoms which is supplied by the source is separated into two separate sets, by transferring a kinetic pulse to certain atoms by several multiphoton Bragg sequences of absorption and emission. The precision with which the acceleration gradient can be calculated is then limited by the short separation distance between the two locations where the acceleration is measured. In fact, this separation distance is at maximum of the order of 600 μm (micrometre).
The article by Yu et al., which is entitled Development of an atom-interferometer gravity gradiometer for gravity measurement from space, Applied Physics B, Lasers and Optics, Springer, Berlin, Del., vol. 84, No. 4, 18 Jul. 2006, pages 647-652, relates to another atom gradiometer which is constituted by two accelerometers each with an atomic fountain configuration. Such a device comprises two separate systems of atom sources from which respectively originate the sets of atoms on which the measurements are simultaneously carried out.
The article by Lamporesi et al., which is entitled “Determination of the Newtonian Gravitational Constant Using Atom Interferometry”, Physical Review Letters, vol. 100, No. 5, 1st February 2008, 050801, describes a gradiometer which comprises only a single source of atoms, but in which two sets of atoms are placed at the measurement locations by a sequence of launches and recapture of these sets of atoms. The two sets of atoms on which the simultaneous measurements are carried out are thus produced successively by the source of atoms. They may then still have a difference in their initial velocities, producing a measurement bias in the differential acceleration results which are obtained by using such a gradiometer.
Finally, the article by Schmid et al., which is entitled “Long distance transport of ultracold atoms using a 1D optical lattice”, New Journal of Physics, vol. 8, No. 8, 1st August 2006, pages 156-159, relates to the theoretical principle of systems for transporting atoms by optical lattices.
Under these conditions, a first object of the invention consists in providing a new configuration of gradiometer, which allows the device to be compact, simpler, and with a lower cost.
A second object of the invention consists in providing a gradiometer capable of providing highly accurate acceleration or gravity gradients values. In particular, an object of the invention is to reduce or prevent the bias which may affect the result of the difference between the accelerations which are measured simultaneously, and which results from a possible difference in the initial velocities of the atoms which are used for each of the measurements.
To this end, the invention proposes a differential inertial measurement device, or gradiometer, which comprises:
Each acceleration measurement result is associated with a position of the measurement zone for the set of atoms which has been used for this acceleration measurement, in order to obtain a differential inertial measurement result.
According to a first feature of the invention, the atom source system is adapted for producing a cluster of atoms which is intended to be divided into several sets of atoms.
According to a second feature of the invention, the device further comprises:
Thus the atoms which are used for two of the acceleration measurements which are carried out simultaneously in the measurement zones apart from each other originate from the same cluster of atoms, and form the two separate sets of atoms which are situated in the corresponding measurement zones.
Within the context of the present invention, by “atom transport system” is meant a means of for moving atoms which allows atoms to be captured in their initial position, then to subsequently release them in a final position. To this end, the atom transport system produces an acceleration of the atoms from their initial position, can hold the atoms with a determined velocity for a duration which is also controlled, then slow the atoms down in order to place them in the final position. Usually, but without this being essential, the atoms may have a zero or very low velocity, in their initial position and/or in their final position, at the start and/or at the end of the use of the atom transport system.
Thanks to the use of such an atom transport system, the atoms which are used to carry out the simultaneous acceleration measurements at separate locations, may be provided by the same source of cold atoms. In this way, the device of the invention may comprise only a single source of atoms, which simplifies its design, makes it more compact and reduces its cost.
Moreover, thanks to the fact that the sets of atoms which are used for the simultaneous acceleration measurements, originate from the same initial cluster, the difference is zero between the respective initial velocities of the atoms which belong to the separate sets. Thus, the acceleration measurement difference bias which could result from such difference in the initial velocities is suppressed by the invention.
In addition, the atom transport system may be adapted for transporting at least one of the sets of atoms with a significant path length, for example several tens of centimetres, and possibly more than 1 metre. This length is known with precision from the control of the atom transport system, so that the acceleration or gravity gradient can be calculated with precision from the results of the acceleration measurements which are obtained for the different sets of atoms.
Advantageously, each atom transport system may be adapted in order to produce optical lattices which are each capable of trapping one of the sets of atoms, so as to continually impose a position on this set of atoms over an operation duration of the transport system. Indeed, an optical lattice is constituted by two progressive monochromatic electromagnetic waves, of laser type, which are superimposed and propagate in opposite directions. The displacement of the atoms is then controlled by adjusting a difference between the respective frequencies of the two progressive waves. The techniques which are currently available for varying and controlling the frequency of a monochromatic wave make it possible to very precisely and simply control the position of the atoms which are transported.
In different embodiments of the invention, the device can have a configuration such as:
In improvements of the invention, the differential inertial measurement device may comprise a laser source unit which is adapted for producing a laser beam over a constant beam path, and a control unit which is capable of successively controlling the laser source unit according to different operating modes. These modes may comprise:
Finally, the invention also proposes a method for measuring an acceleration or gravity gradient, which is implemented by using a differential inertial measurement device as described previously.
Other features and advantages of the present invention will become apparent from the description below of non-limitating implementation examples, with reference to the attached drawings, in which:
a and 3b respectively show two possible ways of constituting a laser source unit, for possible use in a differential inertial measurement device according to the invention.
For reasons of clarity, the dimensions of the elements which are represented in these figures correspond neither to actual dimensions nor to actual dimensional relationships. Moreover, identical references which are indicated in different figures designate identical elements or those which have identical functions.
With reference to
The function of the source 100 is to trap the atoms of the cluster 10 and cool them down to a determined temperature. It may have one of the structures known to a person skilled in the art, such as a magneto-optical trap. Such a trap comprises a pair of coils (not shown) in an anti-Helmholtz configuration, which are supplied with electric current during a first phase of operation of the trap in order to create a magnetic field gradient at the location at which the cluster 10 is kept. Three pairs of laser beams cross at this location, propagating in opposite directions for two beams of the same pair. Thus, the beams F1 and F2 propagate in opposite directions along the z-axis, the beams F3 and F4 along the x-axis and the beams F5 and F6 along the y-axis. Different methods of forming beams F1-F6, in particular by using reflecting mirrors to reduce the number of laser sources which are necessary, are known and need not be repeated. In a second phase of operation of the magneto-optical trap, the magnetic field gradient is suppressed and the radiation frequencies of the laser beams are detuned in order to obtain a cloud of cold atoms, called a molasse, which has a sub-Doppler temperature.
The atoms of the cluster 10 are then loaded into an atom transport system which conveys them by separate sets to the locations of the acceleration measurements. The atom transport system may be constituted by several optical lattices which are created at the initial location of the cluster of atoms 10 and can extend at least to the locations of the acceleration measurements.
In a known fashion, an optical lattice may be constituted by two laser waves which have approximately equal radiation intensities, are superimposed and propagate in opposite directions, such as the beams F1 and F2 in
For the atoms which are initially situated at the location of a potential well of the optical lattice not to leave this well, it may be advantageous to further reduce the initial velocity of the atoms of the cluster 10 so that their escape from the optical lattice is no longer possible. To this purpose, a phase of additional cooling, called sub-recoil cooling, may be carried out. Such sub-recoil cooling of the atoms can be carried out by using for example the Raman cooling technique which is described in the article entitled “Laser cooling below a photon recoil with three-level atom”, by M. Kasevich et al., Physical Review Letters, vol. 69, pp. 1741-1744 (1992), or the cooling technique by sidebands which is described in the article entitled “Degenerate Raman sideband cooling of trapped caesium atoms at very high atomic densities”, by V. Vuletić et al., Physical Review Letters, vol. 81, pp. 5768-5771 (1998). Alternatively, the atoms can be selected as a function of their velocity, for example by using a Raman pulse. One such selection method is described in the article entitled “Atomic velocity selection using stimulated Raman transitions”, by M. Kasevich et al., Physical Review Letters, vol. 66, pp. 2297-2300 (1991). This method can be implemented by using a laser source unit modulated for the beams F1 and F2 as described below, beam F2 being obtained by retroreflection of beam F1 on the reflecting mirror 101 (
Several combinations of optical lattices can be used alternately, in order to leave two sets of atoms 11 and 12 respectively in final positions which are separated from one another and known with precision. Indeed, depending on the control of each optical lattice using the radiation frequencies of the laser beams of which it is constituted, the distance over which the atoms are transported by the optical lattice is known precisely. Among the possible combinations, there can be mentioned:
Such optical lattices can be produced in many ways.
According to a first way, the device may comprise, for at least one of the optical lattices, two laser sources which are arranged so as to respectively produce the two laser beams which are superimposed and propagate in opposite directions. A control unit is then adapted to vary the respective radiation frequencies of the laser sources, so as to control a displacement of the optical lattice.
The second way which is described now provides a simplified configuration of the device. As represented in
In order to vary the radiation frequencies of the components of the laser beam, the laser source unit 102 may include one of the following modulation systems:
a shows the structure of the laser source unit 102 when a radiation intensity modulator is used. The unit 102 then comprises a laser source 104 which produces an initial laser beam F0, the radiation frequency of which is f0. The intensity modulator 105a, denoted INTENSITY MOD., receives the initial beam F0 at the input and produces the modulated beam F1 at the output. When the modulation is controlled by the control unit 103 according to a modulation frequency f1, the beam F1 mainly has three components the respective radiation frequencies of which are f0, f0+f1 and f0−f1. By using the mirror 101 in order to form the reflected beam F2, two mobile optical lattices in the same direction parallel to the z-axis result from the interference between the frequency component f0 in the beam F1 and the frequency component f0+f1 in the beam F2, and between the frequency component f0−f1 in the beam F1 and the frequency component f0 in the beam F2, and two other mobile optical lattices in the opposite direction result from the interference between the frequency component f0+f1 in the beam F1 and the frequency component f0 in the beam F2, and between the frequency component f0 in the beam F1 and the frequency component f0−f1 in the beam F2. These two optical lattices move simultaneously with absolute displacement velocities which are equal.
b corresponds to
At the same time, due to the use of the mirror 101, one or more fixed optical lattices are produced, superimposed on the desired mobile optical lattices. Atoms of the initial cluster 10 may thus be lost due to these unwanted lattices, without such loss affecting the operation of each acceleration measurement. However, further development of the atom transport system allows such a loss of atoms to be avoided. According to this development, the laser source unit 102 may be adapted for producing two monochromatic components of the laser beam with respective radiation frequencies which are different, and with respective directions of linear polarization which are perpendicular to one another in the incident beam F1. For example, the first component has the radiation frequency v and a linear polarization which is parallel to the x-axis in the incident beam F1, and the second component has the radiation frequency v+Δv and a linear polarization which is parallel to the y-axis also in the incident beam F1. The device then further comprises a quarter-wave plate 110 which is arranged in front of the mirror 101, and which is effective for the two components of the laser beam in incident F1 and reflected F2 beams. Due to the transformations of polarization which are produced by the quarter-wave plate 110, the wave field in which the cluster of atoms 10 is found comprises only a first optical lattice which is polarized along the x-axis and a second optical lattice which is polarized along the y-axis. The two optical lattices have instantaneous displacement velocities which are equal, directed in opposite directions parallel to the z-axis, and controlled by the frequency difference Δv.
Several methods may be used for dividing the initial cluster of atoms 10 into two, then for transporting the two sets of atoms 11 and 12 which are thus created to their final acceleration measurement positions. Among these methods, there can be mentioned non-limitatively:
In
The interferometric acceleration measurements 31 and 32 are then carried out simultaneously for the two sets of atoms 11 and 12, at the locations in which the latter are situated at the end of the splitting and transport step 2. Each of the two interferometers implements a sequence of stimulated Raman pulses between the two hyperfine ground states of the atoms of the corresponding assembly 11 or 12. Several sequences of Raman pulses can be used alternately, including the one which is described in the article entitled “Atomic interferometry using stimulated Raman transitions”, by M. Kasevitch et al., Physical Review Letters, vol. 67, pp. 181-184 (1991) set out below:
Advantageously, a single Raman beam can be used to carry out the acceleration measurements on the two sets of atoms 11 and 12, in order to efficiently suppress the measurement noise which could affect the two interferometric measurements differently.
Each interferometric measurement then proceeds by detection of the corresponding proportion of the atoms of the corresponding set which are in one of the two hyperfine ground states. Several different techniques are known to a person skilled in the art for carrying out such a detection. For example, this may be a light-absorption measurement, with pulses having a wavelength selected so as to cause an absorption from only one of the hyperfine atomic states.
Results of the acceleration measurements denoted g1 and g2 are thus obtained respectively for the two sets of atoms 11 and 12, and the acceleration gradient can be calculated in step 4 by dividing the difference of these results by the distance of separation D: (g1−g2)/D.
According to a preferred configuration of a device according to the invention, the same laser source unit 102 can be used repeatedly for different functions, which are implemented successively in the differential inertial measurement device. The functions concerned can be:
In particular, the configuration of the device described in the article A cold atom pyramidal gravimeter with a single laser beam, by Q. Bodart et al., Applied Physical Letters, vol. 96, 134101 (2010), may be implemented. The magneto-optical traps and the atom interferometer are produced by using a single laser source unit, which provides a simplified and very compact structure for the device. In order to obtain a gradiometer according to the present invention, this same laser source unit may also be used again for dividing the initial cluster of atoms and producing the optical lattices. The cluster of cold atoms 10 then leaves the pyramidal reflector zone by free fall. It is then transferred into a mobile lattice in order to slow down the atoms to zero velocity. Once stopped in this way, the atoms of the cluster 10 are divided in order to form the two sets 11 and 12 then transported to the locations of the acceleration measurements as described above.
It is understood that the present invention may be reproduced while modifying certain aspects with respect to the detailed description which has been provided. In particular, the directions in which the atoms are transported, between the output of the source of cold atoms and the performing of the acceleration measurements by interferometry, may be changed. Similarly, it is also possible to change the relative orientation of the direction of separation of the sets of atoms which are used for the acceleration measurements, with respect to the direction of the component of acceleration which is measured. Thus, the invention can be applied for measuring some or all of the terms of the gravity gradient tensor. Finally, the invention may be reproduced using atom transport systems other than optical lattices.
Number | Date | Country | Kind |
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1252781 | Mar 2012 | FR | national |
Filing Document | Filing Date | Country | Kind |
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PCT/FR2013/050657 | 3/27/2013 | WO | 00 |