Overview of research themes and direction : experimental quantum field theory
Since the advent of laser cooling and trapping, researchers have been using ultracold atomic samples for the study of various fundamental physical phenomena in the domains of quantum optics, quantum transport and quantum chaos. With the more recent achievement of BoseEinstein condensation and degenerate Fermi gases, manybody quantum systems have become a subject of intense investigation for researchers in this field. My area of research is in the application of ultracold atomic gases to the study of strongly correlated quantum ensembles where, because of interactions, the states of the system can develop correlations and novel behaviors beyond the scope of mean field and independent particle descriptions. The main emphasis of this research is on strongly correlated systems of particular interest and relevance to the condensed matter community. One of the primary goals is to bridge the fundamental gap which remains between materials experiments on and the theoretical description of highTc superconductivity. By putting an ultracold gas of fermionic atoms into an optical crystal or optical lattice formed by the interference pattern of intersecting laser beams, one can realize a physical system capable of behaving like the system of electrons (also fermions) flowing in a superconducting crystal. Using this system, we hope to determine the essential conditions under which superconductivity persists at high temperatures. Approaching this and other long standing mysteries of condensed matter physics with this new experimental quantum system may provide additional information crucial to their final unraveling. The application of ultracold atomic gases to the study of manybody systems is presently an area of explosive growth with relevance to quantum information technologies, quantum simulators and quantum computation, and fundamental condensed matter physics. Because of the freedom to introduce and control both the external potentials and interparticle interactions as well as the almost perfect isolation from the environment, these systems are ideal for the realization and study of many model Hamiltonians. Moreover, in addition to providing a completely novel approach for the study of the long standing mysteries associated with highTc superconductivity, these atomic gases also provide an inspiring tool capable of creating completely new and unexplored experimental systems whose realization and study will no doubt reveal exotic and unanticipated phenomena further enriching and advancing the frontiers of quantum materials and condensed matter physics. We are pursuing the experimental observation of both few and manybody quantum effects using cold atoms and cold molecules formed from cold atoms. Our goals include:

Associated publicationsGene Polovy, Erik Frieling, Denis Uhland, Julian Schmidt, and Kirk W. MadisonQuantumstatedependent chemistry of ultracold Li2 dimers Phys. Rev. A 102, 013310 (2020) Gene Polovy, Julian Schmidt, Denis Uhland, Erik Frieling, Kahan Dare, and Kirk W. Madison Phase noise reduction of mutually tunable lasers with an external acoustooptic modulator JOSA B, Vol. 36, Issue 2, pp. 464469 (2019) William Bowden, Will Gunton, Mariusz Semczuk, Kahan Dare, and Kirk W. Madison Dual Species Effusive Source and Zeeman Slower for Cold Atom Experiments Rev. Sci. Instrum. 87, 043111 (2016)  http://arxiv.org/abs/1509.07460 Will Gunton, Gene Polovy, Mariusz Semczuk, Kirk W. Madison Transparent Electrodes for High EField Production Using A Buried ITO Layer Rev. Sci. Instrum. 87, 033113 (2016)  http://arxiv.org/abs/1508.04086 Will Gunton, Mariusz Semczuk, and Kirk W. Madison A method for independent and continuous tuning of N lasers phaselocked to the same frequency comb Optics Letters, vol. 40, pp. 43724375 (2015)  http://arxiv.org/abs/1506.00389 Mariusz Semczuk, Will Gunton, William Bowden, and Kirk W. Madison Anomalous Behavior of Dark States in Quantum Gases of Li6 Phys. Rev. Lett. 113, 055302 (2014)  http://arxiv.org/abs/1407.7904  local copy Will Gunton, Mariusz Semczuk, Nikesh S. Dattani, and Kirk W. Madison, High resolution photoassociation spectroscopy of the 6Li_2 A(1^1\Sigma_u^+) state, Phys. Rev. A 88, 062510 (2013)  http://arxiv.org/abs/1309.5870 Michal Tomza, Kirk W. Madison, Robert Moszynski, Roman V. Krems Chemical reactions of ultracold alkali dimers in the lowestenergy $^3\Sigma$ state Phys. Rev. A 88, 050701(R) (2013)  http://arxiv.org/abs/1308.4783 Will Gunton, Mariusz Semczuk, and Kirk W. Madison, Realization of BECBCS crossover physics in a compact ovenloaded magnetooptic trap apparatus Phys. Rev. A 88, 023624 (2013)  arXiv:1307.5445 Mariusz Semczuk, Xuan Li, Will Gunton, Magnus Haw, Nikesh S. Dattani, Julien Witz, Arthur Mills, David J. Jones, and Kirk W. Madison, High resolution photoassociation spectroscopy of the 6Li_2 1^{3}\Sigma_{g}^{+} state, Phys. Rev. A 87, 052505 (2013)  http://arxiv.org/abs/1309.6662 Felipe Herrera, Kirk W. Madison, Roman V. Krems, Mona Berciu, Investigating polaron phase transitions with polar molecules, Phys. Rev. Lett. 110, 223002 (2013)  http://arxiv.org/abs/1212.6212 B. Deh, W. Gunton, B. G. Klappauf, Z. Li, M. Semczuk, J. Van Dongen, and K. W. Madison Giant Feshbach resonances in 6Li85Rb mixtures Phys. Rev. A 82, 020701(R) (2010) Z. Li and K.W. Madison, Effects of Electric Fields on Heteronuclear Feshbach Resonances in Ultracold 6Li87Rb Mixtures, Phys. Rev. A 79, 042711 (2009)  arXiv:0902.2505 A. K. Mills, Y.F. Chen, K. W. Madison, and D. J. Jones, A widely tunable, single frequency optical frequency synthesizer with a 100 kHz uncertainty, J. Opt. Soc. Am. B 26, 12761280 (2009) K. Ladouceur, B.G. Klappauf, J. Van Dongen, N. Rauhut, B. Schuster, A.K. Mills, D.J. Jones, and K.W. Madison, Compact laser cooling apparatus for simultaneous cooling of lithium and rubidium, J. Opt. Soc. Am. B 26, 210217 (2009) Z. Li, S. Singh, T. V. Tscherbul, K. W. Madison, Feshbach resonances in ultracold 85Rb87Rb and 6Li87Rb mixtures, Phys. Rev. A 78, 022710 (2008)  September 2008 issue of Virtual Journal of Quantum Information http://arxiv.org/abs/0807.0417 A. K. Mills, Y.F. Chen, J. Jiang, K. W. Madison, and D. J. Jones, Using Difference Frequency Generation to Lock a CW Visible Laser to a Fiber Laser Frequency Comb, Proceedings of Quantum Electronics and Laser Science Conference and Photonic Ap\ plications Systems Technologies, Optical Society of America, Technical Digest (CD), (2008), paper CFA4. 