![]() This list includes all Penn Ph.D.'s in Mathematics and some in Applied Mathematics. The practice of acknowledging in the dissertation the support and direction of the dissertation supervisor did not become widespread until 1910 or so. Many early dissertations are reprints of published articles. The dissertation supervisor is listed in parentheses wherever known. Lett.Ph.D.'s are listed alphabetically by year. Quantum state reconstruction via continuous measurement. Continuous quantum measurement and the emergence of classical chaos. Spin squeezing via one-axis twisting with coherent light. Many-particle entanglement in two-component Bose-Einstein condensates. Entanglement and the generation of random states in the quantum chaotic dynamics of kicked coupled tops. Quantum control of the hyperfine-coupled electron and nuclear spins in alkali-metal atoms. Decoherence, entanglement and irreversibility in quantum dynamical systems with few degrees of freedom. Decoherence, chaos, and the correspondence principle. Relation between atomic coherent-state representation, state multipoles, and generalized phase-space distributions. Chaos, entanglement, and decoherence in the quantum kicked top. Ghose, S., Stock, R., Jessen, P., Lal, R. Huiru Yang, Liang Tian, Abdessamad Grirrane, Alberto Garca-Baldov, Jiajun. Efficient quantum-state estimation by continuous weak measurement and dynamical control. Xinye Wang, Sha Hu, Jun Wang, Tao Zhang, Ke Ye, Aiwen Wen, Guoliang Zhu. Quantum control of the hyperfine spin of a Cs atom ensemble. Random matrices and chaos in nuclear physics: nuclear structure. Observation of chaos-assisted tunneling between islands of stability. True, technologies derived from quantum mechanics may account for 30 of the gross national product of the United States. Yes, its bizarre predictions about the behavior of atoms and all other particles have been confirmed many times over with multi-decimal-place exactitude. Theory and application of the quantum phase-space distribution functions. Sure, it's the most powerful and accurate scientific theory ever devised. Echo spectroscopy and quantum stability of trapped atoms. Characterization of complex quantum dynamics with a scalable NMR information processor. A., Emerson, J., Poulin, D., Negrevergne, C. Experimental implementation of the quantum baker’s map. Environment-independent decoherence rate in classically chaotic systems. Quantum dynamical manifestation of chaotic behavior in the process of entanglement. Stability of quantum motion in chaotic and regular systems. Classical and quantum chaos for a kicked top. Quantum Chaos: An Introduction (Cambridge Univ. Quantum Signatures of Chaos (Springer, 2001) ![]() Quantum Theory: Concepts and Methods (Springer, 1995) We observe clear differences in the sensitivity to perturbation in chaotic versus regular, non-chaotic regimes, and present experimental evidence for dynamical entanglement as a signature of chaos. ![]() Because chaos is inherently a dynamical phenomenon, special significance attaches to dynamical signatures such as sensitivity to perturbation 1, 5 or the generation of entropy 6 and entanglement 7, 8, for which only indirect evidence has been available 9, 10, 11. Our system is based on the combined electronic and nuclear spin of a single atom and is therefore deep in the quantum regime nevertheless, we find good correspondence between the quantum dynamics and classical phase space structures. Here we present the experimental realization of a common paradigm for quantum chaos-the quantum kicked top 2, 4- and the observation directly in quantum phase space of dynamics that have a chaotic classical counterpart. Institute of Engineering Mechanics, China Earthquake Administration Beijing, China Tao Wang's Lab. This fundamental disconnect poses a challenge to quantum–classical correspondence 1, and has motivated a long-standing search for quantum signatures of classical chaos 2, 3. Quantum mechanics does not permit a similar definition owing in part to the uncertainty principle, and in part to the Schrödinger equation, which preserves the overlap between quantum states. In classical physics, chaos is characterized by hypersensitivity of the time evolution of a system to initial conditions. Chaotic behaviour is ubiquitous and plays an important part in most fields of science. ![]()
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