4 papers · 1 filter
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…
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,…
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…
Quantum Dynamical Emulation of Imaginary Time Evolution
Jacob M. Leamer, Alicia B. Magann, Denys I. Bondar +1
We introduce a constructive method for mapping non-unitary dynamics to a weighted set of unitary operations. We utilize this construction to derive a new correspondence between rea…