Recent advances in atom optics and atom interferometry have enabled observation of atomic de Broglie wave interference when atomic wavepackets are separated by distances exceeding 50 cm and times of 2 seconds [1]. With further refinements, these methods may lead to meter-scale superpositions. In addition to providing new tests of quantum mechanics, these methods allow inertial force sensors of unprecedented sensitivity. We will describe methods demonstrated and results obtained in a 10 m atomic fountain configuration, their implications for technological applications in geodesy, and their relevance to fundamental studies in gravitational physics. We will describe how entangled atomic ensembles can be used to obtain further performance gains, following our demonstration of 18 dB measurement noise reduction using spin-squeezed atomic states [2].
Recent advances in atom optics and atom interferometry have enabled observation of atomic de Broglie wave interference when atomic wavepackets are separated by distances exceeding 50 cm and times of 2 seconds [1]. With further refinements, these methods may lead to meter-scale superpositions. In addition to providing new tests of quantum mechanics, these methods allow inertial force sensors of unprecedented sensitivity. We will describe methods demonstrated and results obtained in a 10 m atomic fountain configuration, their implications for technological applications in geodesy, and their relevance to fundamental studies in gravitational physics. We will describe how entangled atomic ensembles can be used to obtain further performance gains, following our demonstration of 18 dB measurement noise reduction using spin-squeezed atomic states [2].
Recent advances in atom optics and atom interferometry have enabled observation of atomic de Broglie wave interference when atomic wavepackets are separated by distances exceeding 50 cm and times of 2 seconds [1]. With further refinements, these methods may lead to meter-scale superpositions. In addition to providing new tests of quantum mechanics, these methods allow inertial force sensors of unprecedented sensitivity. We will describe methods demonstrated and results obtained in a 10 m atomic fountain configuration, their implications for technological applications in geodesy, and their relevance to fundamental studies in gravitational physics. We will describe how entangled atomic ensembles can be used to obtain further performance gains, following our demonstration of 18 dB measurement noise reduction using spin-squeezed atomic states [2].
Atom de Broglie wave interferometry has emerged as a tool capable of addressing a diverse set of questions in gravitational and condensed matter physics, and as an enabling technology for advanced sensors in geodesy and navigation. This talk will review basic principles, then discuss recent applications and future directions. Scientific applications to be discussed include measurement of G (Newton’s constant), tests of the Equivalence Principle and post-Newtonian gravity, and study of the Kosterlitz-Thouless phase transition in layered superfluids. Technology applications include development of precision gryoscopes and gravity gradiometers. The talk will conclude with speculative remarks looking to the future: Can atom interference methods be sued to detect gravity waves? Can non-classical (entangled/squeezed state) atom sources lead to meaningful sensor performance improvements?
Recent laboratory experiments have demonstrated atom interference-based inertial force sensors operating at sensitivities near or exceeding the state-of-the-art [2x10-10 rad/sec/Hz1/2 (gyroscope), 10-9 g/Hz1/2 (accelerometer), and 10 E/Hz1/2 (gravity gradient, 1 E = 10-9 sec-2)]. Drawing on this recent experience, we seek to develop gravity gradient sensors which will provide unprecedented capabilities for navigation and geodesy applications. Our technical approach does not rely on cryogenic techniques, and should yield an instrument capable of operating on a broad array of platforms (eg. satellite, space station, plane, etc.). In the long run, we expect these instruments to be economical and robust The demonstration of Bose-Einstein condensation in dilute atomic vapors raises the prospect of a new class of de Broglie wave interferometric sensors. We have recently demonstrated a proof-of-principle accelerometer concept which exploits the novel coherence properties of Bose-Einstein condensed atomic sources.
While the current generation of atom interferometric force sensors perform at levels which compete favorably with the existing state-of-the-art, the full potential of these sensors has yet to be realized. Advances in the quality of the atom optics used to manipulate atomic de Broglie waves, the brightness of the atomic sources, and attaining full control over the quantum many-body wavefunction of the ensemble of interfering particles all promise to bring the performance levels of these sensors to levels of precision which may have dramatic future scientific and technological impact.
Quantum Sensors, like atom interferometers (AI), can be employed for high-precision measurements of inertial forces, including their application as gravimeters, gradiometers, accelerometers, and gyroscopes. Their measurement principle relies on ultracold atoms that are prepared in quantum-mechanical superposition states in external degrees of freedom. These states can be prepared by a momentum transfer of a Raman laser. Then the superposition state senses the effect of an inertial force, which induce a corresponding relative phase. The phase is read out by a final coupling which converts the interferometric phase into a atom number difference between the two states. The difference provides an estimate of the interferometric phase and the corresponding quantity of interest. The quantum mechanical noise of the atomic ensemble cause a fundamental uncertainty of this estimation, which I analyze for generic AIs. For small atomic densities, the quantum phase noise of the ensemble limits the interferometric sensitivity. For large densities, quantum number fluctuations generate density fluctuations, which generates phase noise. I show that these two competing effects result in an optimal atom number with a maximal interferometer resolution. Squeezed atomic samples allow for a reduction of the quantum noise of one quantity at the expense of an increased noise along of a conjugate quantity. Phase and number are such quantities which obey to a variant of Heisenberg’s uncertainty principle. Neither phase nor number squeezing can improve the maximal interferometer resolution. As one main result of this thesis, I show how an optimal squeezing in between number and phase squeezing, allows for a fundamental improvement. I evaluate possible experimental paths to implement the proposed protocol. Concepts for a squeezing-enhanced operation of external-degree AIs have not yet been demonstrated. I propose and implement an atomic gravimeter, which is designed to accept spin-squeezed atomic states as input states. The interferometer is designed such that the interferometer couplings are performed in spin space, while the phase accumulation is performed in momentum states. For this interferometer, the squeezed input can be directly obtained from spin dynamics in spinor Bose-Einstein condensates. The main noise contributions in the experiment are analyzed, which results in a factor of 84 above the relevant quantum limit, preventing a squeezing enhancement so far. I outline a suppression of the main noise source, uncontrolled AC Stark shift on the squeezed mode and propose future important applications, including test of spontaneous collapse theories and an improvement of large-scale, high-precision gradiometers.
Abstract The past few decades have seen dramatic progress in our ability to manipulate and coherently control matter-waves. Although the duality between particles and waves has been well tested since de Broglie introduced the matter-wave analog of the optical wavelength in 1924, manipulating atoms with a level of coherence that enables one to use these properties for precision measurements has only become possible with our ability to produce atomic samples exhibiting temperatures of only a few millionths of a degree above absolute zero. Since the initial experiments a few decades ago, the field of atom optics has developed in many ways, with both fundamental and applied significance. The exquisite control of matter waves offers the prospect of a new generation of force sensors exhibiting unprecedented sensitivity and accuracy, for applications from navigation and geophysics to tests of general relativity. Thanks to the latest developments in this field, the first commercial products using this quantum technology are now available. In the future, our ability to create large coherent ensembles of atoms will allow us an even more precise control of the matter-wave and the ability to create highly entangled states for non-classical atom interferometry.