Towards Many-body Physics with Rydberg-dressed Cavity Polaritons

Download or read book Towards Many-body Physics with Rydberg-dressed Cavity Polaritons written by Hyeran Kong and published by . This book was released on 2018 with total page 234 pages. Available in PDF, EPUB and Kindle. Book excerpt: An exciting frontier in quantum information science is the creation and manipulation of bottom-up quantum systems that are built and controlled one by one. For the past 30 years, we have witnessed signi cant progresses in harnessing strong atom- eld interactions for critical applications in quantum computation, communication, simulation, and metrology. By extension, we can envisage a quantum network consisting of material nodes coupled together with in nite-dimensional bosonic quantum channels. In this context, there has been active research worldwide to achieve quantum optical circuits, for which single atoms are wired by freely-propagating single photons through the circuit elements. For all these systems, the system-size expansion with atoms and photons results in a fundamental pathologic scaling that linearizes the very atom- eld interaction, and signi cantly limits the degree of non-classicality and entanglement in analog atom- eld quantum systems for atom number N 1. The long-term motivation of this MSc thesis is (i) to discover new physical mechanisms that extend the inherent scaling behavior of atom- eld interactions and (ii) to develop quantum optics toolkits that design dynamical gauge structures for the realization of lattice-gauge-theoretic quantum network and the synthesis of novel quantum optically gauged materials. The basic premise is to achieve the strong coupling regime for a quantum many-body material system interacting with the quantized elds of an optical cavity. Our laboratory e ort can be described as the march towards \many-body QED," where optical elds acquire some properties of the material interactions that constrain their dynamical processes, as with quantum eld theories. While such an e ort currently do not exist elsewhere, we are convicted that our work will become an essential endeavor to enable cavity quantum electrodynamics (QED) in the bona- de regime of quantum many-body physics in this entanglement frontier. In this context, I describe an example in Chapter 2 that utilizes strong RydbergRydberg interactions to design dynamical gauge structures for the quantum square ice models. Quantum uctuations driven by cavity-mediated in nite-range interaction stabilize the quantum-gauged system into a long-range entangled quantum spin liquid that may be detected through the time-ordered photoelectric statistics for photons leaking out of the cavity. Fractionalized \spinon" and \vison" excitations can be manipulated for topological quantum computation, and the emergent photons of arti cial QED in our lattice gauge theoretic system can be directly measured and studied. The laboratory challenge towards strongly coupled cavity Rydberg polaritons encompasses three daunting research milestones that push the technological boundaries beyond of the state-of-the-arts. In Chapter 3, I discuss our extreme-high-vacuum chamber (XHV) cluster system that allows the world's lowest operating vacuum environment P ' 10 Torr for an ultracold AMO experiment with long background-limited trap lifetimes. In Chapter 4, I discuss our ultrastable laser systems stabilized to the ultra-low-expansion optical cavities. Coupled with a scalable eld-programmable-gate-array (FPGA) digitalanalog control system, we can manipulate arbitrarily the phase-amplitude relationship of several dozens of laser elds across 300 nm to 1550 nm at mHz precision. In Chapter 5, we discuss the quantum trajectory simulations for manipulating the external degrees of freedom of ultracold atoms with external laser elds. Electrically tunable liquid crystal lens creates a dynamically tunable optical trap to move the ultracold atomic gases over long distance within the ultra-high-vacuum (UHV) chamber system. In Chapter 6, I discuss our collaborative development of two science cavity platforms { the \Rydberg" quantum dot and the many-body QED platforms. An important development was the research into new high-index IBS materials, where we have utilized our low-loss optical mirrors for extending the world's highest cavity nesse F 500k! We discuss the unique challenges of implementing optical cavity QED for Rydberg atoms, which required tremendous degrees of electromagnetic shielding and eld control. Single-crystal Sapphire structure, along with Angstrom-level diamond-turned Ti blade electrodes, is utilized for the eld compensation and extinction by > 60 dB. Single-crystal PZTs on silica V-grooves are utilized for the stabilization of the optical cavity with length uncertainty less than 1=100 of a single nucleon, along with extreme level of vibration isolation in a XHV environment. The capability to perform in-situ RF plasma cleaning allows the regeneration of optical mirrors when coated with a few Cs atoms. Lastly but not the least, we combine single-atom resolution quantum gas microscopy technique with superpixel holographic algorithm to project arbitrary real-time recon gurable di raction-limited optical potential landscapes for the preparation of low-entropy atom arrays.