Andrea alberti Image: Schematic diagram of a digitally-synthesized state-dependent optical lattice for atom transport. Field of research: Discrete-time quantum Walks, few-atom quantum systems Literature: 1 Analog devices Direct Digital Synthesizer AD9910. Meschede: A digital atom interferometer with single particle control on a discretized spacetime geometry, pnas 109, 9770 (2012). Gross: Tutorial on Quantum optimal control theory,. Porto: Optimal control of atom transport for quantum gates in optical lattices, Phys. A 77, 052333 (2008). Degree requirements: For information on rules, requirements or standards, email or call 545-0722.

## Master thesis on the 100 Original

We intend to use spin-dependent optical lattices to transport the electron spin-up and the electron spin-down components of a single atom by 1 mm apart, and recombine them together to observe interference fringes. State-dependent optical lattices are periodic potentials created by laser fields, which we use to transport atoms along a direction determined by their qubit state, which can either be spin up or spin down. With this system we could, for instance, demonstrate the splitting of a single atom at two spatial locations separated by. In order to achieve even larger distances, we have recently developed a new technology for transporting atoms over arbitrary long distances. The new system is based on a digital synthesis of light polarization, which is use to control the state-dependent optical lattice. The state-dependent transport of single atoms is controlled by digitally programming the phase essay of a rf signal through a direct digital synthesizer (DDS). The new technology allows us to shape arbritrary transport shape. The project consists in applying the concept of quantum optimal control theory to optimize the atom transport over large disances while preserving the very fragile quantum "coherences". We aim at demonstrating a macroscopic single-atom interferometer, where atoms are coherently split over hundreds of lattice sites (1 lattice site 433 nm). We will interface a fast fpga with the dds chip to program complex transport sequences in real time. This will allow us to tailor the interferometer geometry with ultrahigh spatiotemporal control, ultimately achieving a spatial and temporal resolution of 100 pm and 10 ns, respectively.

An alternative solution is provided by Altera de2-115 development board together with the ad/DA module. The final goal of the project consists in stabilizing the intensity of laser beams used to create periodic optical lattice potentials for atoms. A test setup with opto-mechanical components is already available for characterizing the servo-loop and measure its closed-loop response function. Wolfgang Alt gps Image: Schematic representation of a pid control loop mechanism, from wikipedia. Field of research: Discrete-time quantum Walks, few-atom quantum systems, cavity qed literature: 1 Florian seidler, digital high bandwidth control, masterarbeit (2015) 2 Practical process control e-textbook. 3 Tutorial based on Matlab Simulink toolbox about pid controller design. Bechhoefer, feedback for physicists: A tutorial essay on control, rev. 77, 783 (2005) Splitting single atoms at macroscopic distances using optimal control theory (14/07/15) How far can we coherently split a single particle preserving quantum coherences?

For the most demanding applications writing from the point of view supermarket of bandwidth and signal-to-noise ratio, we currently use analogue servo-loop controllers, which are based on the widely-known pid control loop mechanism. In the past years, digital electronic devices have enormously improved to the point that digital servo-loop controllers constitute a competitive and affordable alternative to state-of-the-art analogue logic boards. In addition, digital servo-loop controllers make available a whole new range of possibilities (e.g. Internal model control, smooth relock which are not simple to implement with analogue logic devices because of their limited flexibility. In this project we plan to use a system-on-chip digital device to close the servo loop. A digital control employing the redPitaya development board has already been demonstrated in our group 1, reaching a bandwidth close 5 mhz. However, the effective 12-bit resolution of the A/D converters on this board limits the range of applicability to applications where high precision (or alternaively, large dynamic range) is not strictly required. For most applications in quantum optics (like intensity stabilization of laser beams forming optical dipole traps and optical phase-lock loops for Raman lasers high-bandwidth high-precision A/D converters are necessary. We plan to increase the effective bit resolution by either combining the two channels available from the A/D converters on the redPitaya board, or by employing A/D converters with a higher number of bits, for instance, the 16-Bit 30 msps dac ad768 and the 16-bit.

Alberti: Electric quantum walks with individual atoms, phys. 110, 190601 (2013) Large bandwidth digital pid controller (07/05/15) we are witnessing a fast transition from analog to digital electronics. The advantages of digital signal processing are really impressive. However, when dealing with precision measurements, it becomes difficult to decide upon the winning technology. We take up the challenge to realize a low-noise large-bandwidth digital servo controller based on state-of-the-art digital electronics. The project consists in building a large bandwidth (5 mhz) low-noise digital servo-loop controller. In our experiments, feedback is a central part of almost every application, which is essential for the precision control and coherent manipulation of single atoms.

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Neutral atoms confined in mesne optical lattice potentials are ideal candidates to perform digital quantum simulations and novel quantum computational schemes. For instance, a one-dimensional optical lattice has been used in our group to perform discrete-time quantum walks of single atoms, thus demonstrating an elementary quantum cellular automaton. With this system, we have recently simulated the physics of charged particles in a crystal subject to an external electric field. For many physical problems it is important to go beyond one dimension like for quantum transport experiments (see graphene simulation of artificial magnetic fields (see quantum Hall effect disordered materials (see anderson localization topological insulators (see geometric phase and novel paradigms of quantum information science. Our original approach consists in employing two-dimensional report spin-dependent transport,. The ability to deterministically transport atoms depending on their internal state, in order to experimentally investigate these physical models. Within this project, a commercial 4w ti:sapphire laser source shall be used to generate the optical lattice at the magic wavelength (866 nm which is necessary for state-dependent transport.

The 2D lattice will be placed at exactly 150 μm from the first surface of a large numerical-aperture (NA0.9) objective lens, which is situated in a twelve-sided ultrahigh vacuum cell (see image). Two-dimensional spin-dependent transport will be performed by means of a newly developed technology, which allows to digitally synthesize the light polarization of the lattice laser beams. The final goal of the project consists in using the spin-dependent lattice to implement a two-dimensional discrete-time quantum walk with neutral atoms. Andrea alberti Image: Two-dimensional optical lattice (not up to scale) in proximity of a large numerical aperture objective, which is employed to resolve and address individual lattice sites. The objective is inside a ultrahigh vacuum cell. Field of research: Discrete-time quantum Walks Literature:. Widera: quantum Walk in Position Space with Single Optically Trapped Atoms, science 325, 174 (2009).

The different exchange phase between bosons and fermions can be revealed with a new type of two-particle interferometry experiment, which probes the spin-spin correlations between the two particles. The scheme illustrated in the figure is robust against decoherence mechanisms and can be implemented with bosons and fermions. Andrea alberti field of research: Few-atom quantum systems Literature:. Jabs, connecting Spin and Statistics in quantum Mechanics, foundations of Physics 40, 776 (2009). 2 .

Robbins, quantum indistinguishability: Spin-statistics without relativity or field theory? 545, 3 (2000). (2017) quantum walks in two-dimensional optical lattices (07/05/15) Ultracold atoms walking on a two-dimensional optical lattice move very differently than does their classical counterpart. Interference among different quantum paths makes this quantum transport very intriguing. To a first approximation, atoms move like 2d dirac particles. We plan several experiments to unravel the rich physics of 2D discrete-time quantum walks.

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Häffner, revealing quantum statistics with a pair pdf of distant atoms, arXiv:1706.04231 quant-ph (accepted in Phys. Testing spin-statistics with indistinguishable atoms (08/06/15 we have learned from quantum mechanics textbooks: If we swap two particles that differ only in their position but are otherwise identical in the other degree of freedom, the quantum state acquires a phase 0 for bosons and π for. We take up the challenge to validate this fundamental law of nature in a two-atom interferometer experiment. In nature elementary particles are either bosons or fermions depending on whether their angular momentum is an integer number or a half-integer number. This classification of particles into two large families has deep physical consequences in relation to identical particles. The spin-statistics theorem states that when we exchange two particles namely, when we transport one particle into the position of the other and vice versa we obtain the same two-particle quantum mechanical state except for a quantum phase. This phase is 0 for bosons and π for fermions.

We want to demonstrate correlations in the polarisation of the two photons by observing oscillating fringes as we vary the relative phase between the violet and cyan paths. The optical setup can be constructed in such a way reimagined that the two photons never cross. This experiment shall provide a dramatic demonstration of the nature of indistinguishable quantum particles. Frank vewinger, field of research: Few-atom quantum systems, literature:. Twiss, a test of a new Type of Stellar Interferometer on Sirius, nature 178, 1046 (1956). Mandel, measurement of subpicosecond time intervals between two photons by interference, phys. Walther, a simple study of photon correlations from Hanbury-Brown and Twiss to einstein, podolsky, rosen and beyond,.

between single-particle quantum paths. Two-particle interferometers, instead, can be thought of as interference between two-particle quantum paths with reference to the figure, between the violet and cyan paths. We plan to use two. Spdc sources to independently generate two photons. We shall post-select only those events in which the two photons are coincidentally detected at the upper and lower part detector assemblies. If the two photons are indistinguishable (with respect to their transverse mode, frequency, polarization, etc. there is no possible way to say whether they travelled along the twisted violet paths or rather through the straight cyan paths. The inherent lack of physical information is at the origin of the two-particle correlations.

Chuang, cambridge University Press, cambridge, uk, 20000. 2 Prescription for experimental determination of write the dynamics of a quantum black box,. Nielsen, journal of Modern Optics, 44, 2455, 1997. Two-photon interference with non intersecting paths (22/09/17). Can two photons that were indipendently generated, that will never meet each other, and that will be independently detected by separate detectors, exhibit correlations in their polarisation degree of freedom? We plan to set up a two-photon experiment to answer this question. Quantum mechanics predicts that indistinguishable particles exhibit correlations even when the two particles have never interacted with each other.

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Quantum tomography with single photons (22/06/15). The exact manipulation of quantum states is crucial for realizing quantum devices for information processing. Quantum tomography is a well established method that allows to fully characterize the action of an arbitrary quantum devices. During the master thesis an experimental setup shall be implemented to perform quantum tomography on the polarization degree of freedom of single photons. The student contributes to work towards an atom-cavity based quantum memory for optical qubits. Lothar Ratschbacher, field of research: cavity qed, literature: 1 Quantum Computation and book quantum Information, michael. Nielsen and Isaac.

Pattern formation and localized structures in spatially extended photonic systems. Promotor(s jan Danckaert.is one of the most efficient binary data modulation techniques in terms of noise immunity per unit bandwidth and is generated from a carrier signal that is modulated. Draper also offers periodic workshops for thesis writers, listed on our News and events page. The master s thesis is a carefully argued scholarly paper of approximately 12,000 13).

Master, thesis in Social- and Community Psychology. Examination arrangement: Master s thesis, grade: Letters. The, master s Degree, thesis consists of a mandatory. Master s Degree seminar and the written. Home master thesis subjects.

During the master thesis an experimental setup shall be implemented to perform quantum tomography on the polarization degree of freedom of single photons. An unsigned blank signature page should be included after the copyright page in the electronic copy of your thesis. The master s thesis must be formatted as prescribed by the. Grants for Those working. Master, thesis in Cartography. June 4, 2014 by caitlin Dempsey gis learning.