ELECTROMECHANICAL CONVERSION DEVICE AND SYSTEM USING SUCH A DEVICE
20220345087 · 2022-10-27
Inventors
- Guillaume JOURDAN (GRENOBLE CEDEX 09, FR)
- Sébastien HENTZ (GRENOBLE CEDEX 09, FR)
- Carine LADNER (GRENOBLE CEDEX 09, FR)
- Kazi RAFSANJANI AMIN (GRENOBLE CEDEX 09, FR)
- Julien RENARD (SEYSSINET-PARISET, FR)
- Nicolas ROCH (GRENOBLE CEDEX 09, FR)
Cpc classification
G06N10/40
PHYSICS
G06N10/00
PHYSICS
B82Y10/00
PERFORMING OPERATIONS; TRANSPORTING
H03H3/007
ELECTRICITY
International classification
H03B15/00
ELECTRICITY
G06N10/00
PHYSICS
H03H3/007
ELECTRICITY
Abstract
An electromechanical conversion device includes a resonant electrical circuit comprising an inductance and a capacitor, the capacitor including at least a first electrode and a second electrode; and a mechanical oscillator including at least one microbeam formed in a membrane, the first and second electrodes being located side by side and the first electrode of the capacitor being located on a face of the microbeam so that the electrical capacitance of the capacitor varies when the mechanical oscillator oscillates; device wherein the inductance includes an electric track of very low thickness made on the membrane and made of a superconductive material chosen so as to obtain an electric track with a high kinetic inductance.
Claims
1. An electromechanical conversion device comprising: a resonant electrical circuit comprising an inductance and a capacitor, the capacitor having at least a first electrode and a second electrode; and a mechanical oscillator comprising at least one microbeam formed in a membrane, the first and second electrodes being located side by side and the first electrode of the capacitor being located on a face of the microbeam so that an electrical capacitance of the capacitor varies when the mechanical oscillator oscillates, wherein the inductance comprises an electric track of very low thickness made on the membrane and made of a superconductive material chosen so as to obtain an electric track having a high kinetic inductance, three times greater than its magnetic inductance.
2. The electromechanical conversion device according to claim 1, wherein the electric track has a kinetic inductance per square greater than or equal to 20 picohenry per square.
3. The device according to claim 2, wherein the electric track has a kinetic inductance per square greater than or equal to 50 picohenry per square.
4. The electromechanical conversion device according to claim 1, wherein the superconductive material of the electric track is chosen from titanium nitride (TiN), niobium nitride (NbN) or a granular superconductive material.
5. The electromechanical conversion device according to claim 1, wherein the thickness of the electric track is less than or equal to 20 nm.
6. The electromechanical conversion device according to claim 1, wherein the thickness of the electric track is less than or equal to the London's length of the superconductive material.
7. The electromechanical conversion device according to claim 1, wherein, over most of its length, the electric track does not comprise portions extending facing one another while being separated by a distance less than 10 times the width of the electric track.
8. The electromechanical conversion device according to claim 1, wherein the microbeam of the mechanical oscillator is a first microbeam and wherein the mechanical oscillator comprises a second microbeam and a third microbeam, the first and the second microbeam being connected to one another so as to form a diapason, the third microbeam being located between the first and second microbeams of the diapason, the second electrode of the capacitor being formed on the third microbeam.
9. The electromechanical conversion device according to claim 1, wherein at least a portion of the electric track is formed on a silicon-on-insulator substrate of trap-rich type.
10. The electromechanical conversion device according to claim 1, wherein at least a portion of the electric track (PE) is located on a portion of the membrane that is suspended.
11. The electromechanical conversion device according to claim 1, wherein the mechanical oscillator comprises a frame separated from a main portion of the membrane by openings made in the membrane, the microbeam being connected to the frame and the second electrode being carried out on the frame or on another microbeam that is connected to the frame, the frame connecting to the main portion of the membrane by a bridge and by one or more connector microbeams, each connector microbeam comprising two portions each longer than wide and which are connected to one another by making a bend.
12. The electromechanical conversion device according to claim 1, wherein the mechanical oscillator is surrounded by acoustic insulators formed in said membrane, each insulator comprising several microbeams parallel to one another, with a direction of the microbeams varying from one insulator to the other.
13. A method for manufacturing an electromechanical conversion device according to claim 1, the method comprising, from a substrate comprising a silicon oxide layer and a silicon layer on the silicon oxide layer: a step of full-plate deposition of a layer of superconductive material intended to form the electric track; then a first step of lithography so as to obtain a pattern defining the membrane in the silicon layer, the pattern defining at least said at least one microbeam of the mechanical oscillator; a first step of etching the layer of superconductive material and of the layer of silicon according to the pattern defined during the first step of lithography; then a second step of lithography so as to obtain a pattern defining the electric track; a second step of etching the layer of superconductive material according to the pattern defined during the second step of lithography so as to obtain the electric track; a third step of etching in the silicon oxide layer so as to release the silicon membrane defined hereinabove.
14. A quantum system comprising an electromechanical conversion device according to claim 1 and an optical resonator, said optical resonator being coupled to the mechanical oscillator of the conversion device.
15. A quantum system comprising an electromechanical conversion device according to claim 1 and a qubit, said qubit being coupled to the conversion device.
Description
BRIEF DESCRIPTION OF THE FIGURES
[0042] The figures are shown for the purposes of information and in no way limit the invention.
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DETAILED DESCRIPTION
[0053] The figures are presented for the purposes of information and in no way limit the invention.
[0054] Unless mentioned otherwise, the same element that appears in different figures has a unique reference.
[0055] Electromechanical Conversion Device
[0056] An aspect of the invention relates to an electromechanical conversion device DI. As shown in
[0057] In addition, in the device DI according to an aspect of the invention the inductance L comprises an electric track PE of very low thickness carried out on the membrane in a superconductive material chosen in such a way as to obtain an electric track PE with a high kinetic inductance.
[0058] In an embodiment, high kinetic inductance means a kinetic inductance per square greater than or equal to 20 pH per square, or even greater than or equal to 50 pH per square. For the purposes of illustration, for a track having a width comprised between 50 and 500 nm, the kinetic inductance can be greater than 0.1 nH/μm, even 0.3 nH/μm or even greater than or equal to 1 nH/μm. The kinetic inductance can for example be defined as the total inductance of the electric track PE (or of the portion of electric track considered) less the magnetic inductance of the electric track PE. Magnetic inductance means the inductance due to the creation of a magnetic field by the track (at the exterior of the track) when an electric current passes through. The value of the kinetic inductance can therefore be determined by a measurement of the total inductance and a calculation (for example by finite elements) of the magnetic inductance (i.e.: of the “conventional”, usual inductance), the latter being entirely determined by the geometry of the electric track PE. It can also be determined by comparing the inductance of the measured track at a temperature higher, then at a temperature lower than a critical temperature of the superconductive material forming the track (critical temperature beyond which the material is no longer superconductive).
[0059] Geometry of the Inductance
[0060] In an embodiment, shown in
[0061] In an embodiment, the superconductive material is chosen from titanium nitride (TiN), niobium nitride (NbN) or a granular superconductive material. Titanium nitride is particularly beneficial because it makes it possible to obtain very thin layers (for example 10 nm thick) while still remaining homogeneous (with typical variations of a thickness of less than 1 nm). In practice, homogeneous layers of TiN, having a thickness less than or equal to 5 nm, and even less than or equal to 3 nm can be obtained. By way of example, for a layer made of TiN, a thickness comprised between 5 and 10 nanometres corresponds to a good compromise between ease of manufacturing (and low risk of manufacture failure) on the one hand, and obtaining a high kinetic inductance on the other hand. In addition to guaranteeing a high kinetic inductance, carrying out the track in question from such a thin layer makes it possible to ensure good mechanical properties for the oscillator. Indeed, the mass added by the electrode at the microbeam is reduced to the strict minimum, which in particular makes it possible to obtain relatively high mechanical resonance frequencies and therefore to ease the constraints to be complied with to be in the so called resolved-band conditions (well known in the field, these conditions will not be presented here). Moreover, obtaining lighter microbeams makes it possible to more easily cool the mechanical oscillator in such a way as to bring it to a quantum regime, a regime required when the device is used to carry out a transfer of a quantum variable from a microwave electrical system to a mechanical system (or even to an optical system). In addition, by reducing to the minimum the quantity of metal added on the microbeam, the mechanical losses and other dissipative effects that can occur in the metal, during the deformation thereof (displacement of defects for example) are also reduced. Measurements taken on such a device, with a track made from 20 nm thick TiN show that a kinetic inductance of 20 pH/square or more is then obtained. And for a track made of TiN, respectively 5 and 3 nm thick, a kinetic inductance of 100, and respectively 230 pH/square is obtained.
[0062] In an embodiment, the thickness of the electric track is less than or equal to 20 nm, even less than or equal to 10 nm and even less than or equal to 5 nm. In an embodiment, the thickness of the electric track is less than or equal to the London's length of the superconductive material. In an embodiment, the length of the electric track PE is less than or equal to 0.5 mm. Regarding its width, it can for example be comprised between 50 and 500 nm, even between 100 and 300 nm (it can be noted in this respect that the width of the track is not necessarily constant all along the track).
[0063] In an embodiment, the electric track PE has a kinetic inductance ten times greater than its magnetic inductance.
[0064] In an embodiment, the electric track PE has a parasitic capacitance less than twice the capacitance of the capacitor C and/or less than 2 femtofarad. The electric track in question can in particular have a total inductance (magnetic+kinetic) greater than 50 nanohenry, even greater than 100 nanohenry, while still having a parasite capacitance as low as what has just been specified.
[0065] Geometry of the Mechanical Oscillator.
[0066] The mechanical oscillator OM can have highly diverse geometries. In the embodiment shown in
[0067] It is considered here that the vibration mode of the mechanical oscillator mentioned hereinabove, for which the microbeam mainly vibrates in the plane of the membrane (and for which ω.sub.μw−ω.sub.p1=ω.sub.opt−ω.sub.p2=ω.sub.m) has a frequency ω.sub.m (resonant frequency) that is distinct from the other vibration modes of the mechanical oscillator. By way of example, for these other vibration modes, the difference between the oscillation frequency of the mode in question and the frequency ω.sub.m can be greater than 5 times the full width at half-maximum of the resonance peak at ω.sub.m. However, alternatively, the respective resonance peaks of different vibration modes of the oscillator could be superimposed on one another.
[0068] In an embodiment shown in
[0069] In an another embodiment shown in
[0070] In another embodiment shown in
[0071] The embodiments of
[0072] In another embodiment shown in
[0073] In an embodiment shown in
[0074] Substrate Supporting the Membrane
[0075] In an embodiment, the device is carried out at least partially on a substrate of the SOI type. In an embodiment, this SOI substrate is of the “trap-rich” type. Such a substrate comprises a layer charged with many crystallographic defects located between the buried oxide layer (or BOX—well known to those skilled in the art) and the HR-Si substrate (called high-resistivity substrate). In general, this layer rich in defects is made of polycrystalline silicon (polySi) or of amorphous silicon (a-Si). In the absence of such a layer rich in defects, the fixed charges present in the buried oxide layer attract the charges present in the substrate at the interface creating a thin conduction layer that reduces the effective resistivity of the substrate and causes losses (dissipation effects) for an electrical circuit made on the top silicon layer, in particular in the microwave frequency range. The crystalline defects introduced trap these charges and allow the HR-Si substrate to act as a lossless dielectric substrate, which improves the quality factor of the resonant electrical circuit.
[0076] In an embodiment, the membrane is at least partially suspended. For this, as shown in
EXAMPLE
[0077] In an embodiment, the microbeam is made from silicon and has a length of 14 μm, a thickness of 0.1 μm (according to a direction perpendicular to the substrate), a width of 0.2 μm and a density of 2,330 kg/m.sup.3. From the bending vibration mode 0 (bending while remaining in a plane parallel to the substrate, and with the two ends clamped), it is possible to determine that the effective mass is 6.524e.sup.−16 kg, that the frequency associated with this mode ω.sub.m is 2π×9.17 MHz and that the amplitude of quantum fluctuation is 37 fm (these values correspond to a microbeam without the first electrode; with the first electrode, made of TiN and of a thickness of 5 nm, values approximately 10% different are obtained). These different pieces of information make it possible to deduce that, with a device according to the invention, it is possible to obtain an electromagnetic coupling function an order of magnitude greater than what is obtained in the device of the state of the art (of G. Arnold et al.) presented in the introduction. In particular, as the parasitic capacitance of the inductance is lower than in the prior art, an efficiency it close to 1 is expected, or in the very least comprised between 0.25 and 0.9.
[0078] Method of Manufacturing
[0079] In order to obtain a mechanical oscillator such as presented hereinabove, it is possible to use a substrate of the SOI type comprising a layer of silicon on a layer of silicon oxide. A second aspect of the invention shown in
[0080] From this SOI substrate (shown in
[0081] The method then comprises a first step of lithography in such a way as to obtain a pattern defining a membrane in the silicon layer. The pattern thus makes it possible to define the contours of the membrane on which the conversion device will be carried out, in particular the microbeam or microbeams MP, MP1, MP2, MP3, as well as openings OR in this membrane in such a way as to facilitate the release thereof during later etching (i.e. during the removal of a portion of the silicon oxide layer).
[0082] The method then comprises a first step of etching the layer of superconductive material and the layer of silicon according to the pattern defined during the first step of lithography. In other words, the patterns defined during the first step of lithography are imprinted in the layer of superconductive material and in the layer of silicon. At the end of this step, as shown in
[0083] The method then comprises a second step of lithography in such a way as to obtain a pattern defining an electric track followed by a second step of etching of the layer of superconductive material according to the pattern defined during the second step of lithography in such a way as to obtain the electric track. The electric track PE, formed on the layer of silicon, is achieved during this second step of etching, as shown in
[0084] Finally, so as to release the silicon membrane, the method according to the invention comprises a third step of etching in the silicon oxide layer. At the end of this step, as shown in
[0085] Systems Using an Electromechanical Conversion Device According to the Invention
[0086] A third aspect of the invention relates to a quantum system comprising a conversion device DI according to the first aspect of the invention and an optical resonator, with an opto-mechanical coupling between the optical resonator and the mechanical oscillator of the conversion device DI. In particular, the optical frequency electric field confined in the optical resonator (for example the amplitude, or the phase of this field) is coupled to the oscillations of the mechanical oscillator.
[0087] A fourth aspect of the invention relates to a quantum system comprising a conversion device DI according to the first aspect of the invention and a qubit, the qubit being coupled to the conversion device DI. In an embodiment, the qubit is a superconducting qubit and the latter is coupled to the device DI according to the invention by means of a superconducting electric line. In an embodiment, the qubit is a qubit based on an NV centre (well known in the field) present in a diamond crystal of small size solidly attached to the microbeam MP of the mechanical oscillator OM of the conversion device (a magnetic field being further applied at the NV centre in question).
[0088] The means of coupling an optical oscillator or a qubit to a mechanical oscillator in general (also applicable to the oscillator of the device according to the invention) will not be detailed here by a concern for concision. However, such means are for example described in the document by G. Arnold et al. mentioned in the introduction to the present text, and shown in