5 papers
Spectral Gaps via Imaginary Time
Jacob M. Leamer, Alicia B. Magann, Gerard McCaul +1
The spectral gap occupies a role of central importance in many open problems in physics. We present an approach for evaluating the spectral gap of a Hamiltonian from a simple ratio…
Bose-Einstein condensate sub-wavelength confinement via superoscillations
Dusty R. Lindberg, Gerard McCaul, Peisong Peng +3
Optical lattices are essential tools in ultra-cold atomic physics. Here we demonstrate theoretically that sub-wavelength confinement can be achieved in these lattices through super…
Observables in Motion: A guide to simulating classical and quantum dynamics
Denys I. Bondar, Gerard McCaul, Andrii Sotnikov
We present a pedagogical work-in-progress. This textbook aims to introduce Hilbert space representations for quantum and classical dynamics, outlining the mathematical foundations,…
Super-sensing: 100-Fold enhancement in THz time-domain spectroscopy contrast via superoscillating waveform shaping
Peisong Peng, Dusty R. Lindberg, Gerard McCaul +2
Superoscillations are a phenomenon where a band-limited wave may locally oscillate faster than its highest Fourier component. They are a product of destructive interference between…
Tuning the terahertz response of liquids by creating polar many-body excitations
Gerard McCaul, Matthias Runge, Michael Woerner +3
A surprising result from the theory of quantum control is the degree to which the properties of a physical system can be manipulated. Both atomic and many-body solid state models a…