- Professor
Biography
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Professor Tomsovic is a theoretical physicist interested in several fields. First is Quantum/wave chaos, which is an interdisciplinary branch of physics and mathematics which emerged in the second half of the 20th century. It finds application in an incredibly diverse set of research fields, systems, and problems such as: many-body physics, statistical nuclear physics and weak symmetry breaking, quantum dots, disordered electronic conductors, decoherence and fidelity studies, quantum computation, Riemann zeta- and L-functions, optical resonators, ultra-cold atoms in optical lattices, acoustics in crystals, underwater sound propagation, and the Dirac spectrum in non-Abelian gauge field backgrounds.
Over the years the research in our group has included: control of many-body quantum chaotic systems, thermalization, the random matrix analysis of time reversal and parity violation in strongly interacting nuclear systems; analysis of the validity of using chaotic dynamics to construct quantum/wave dynamics (construction of heteroclinic orbit sums); use of transfer matrix methods for disordered, quasi-1D mesoscopic conductors; the discovery of chaos-assisted tunneling; the derivation of trace formulae valid for systems intermediate between integrability and chaos; the application of periodic orbit theory and random matrix theory to Coulomb blockade peak height statistics; fidelity, sensitivity-to-perturbation, and irreversibility studies; application of semiclassical methods to derive properties of interacting-many electron ground states; use of finite-time stability exponents for underwater sound propagation studies (finding branching or clustering behaviors) or locating small islands of regular motion in a dynamical system; introducing methods for calculating Kolmogorov-Sinai entropies for interacting, many particle systems; introduction of extreme value statistics for understanding eigenstates of chaotic systems; studies of the interpretation of scanning gate microscopy experiments; and introduction of random matrix theory into long range underwater sound propagation.
Education
- PhD in theoretical physics, University of Rochester
- MA in theoretical physics, University of Rochester
- BS in physics, Michigan Technological University
Research Interests
- quantum chaos
- many-body physics
- quantum control
- mesoscopic physics
- symmetry violatio
Selected Publications
Google scholar (link)
- Controlling many-body quantum chaos: Bose-Hubbard systems. L. Beringer, M. Steinhuber, J. D. Urbina, K. Richter, and S. Tomsovic, New J. Phys. 26, 073002 (2024)
- Reduced dimensional monte carlo method: Preliminary integrations. J. Tall and S. Tomsovic, Phys. Rev. E 109, 045308 (2024)
- Controlling quantum chaos: time-dependent kicked rotor. S. Tomsovic, J. D. Urbina, and K. Richter, Phys. Rev. E 108, 044202 (2023)