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quant-ph2026
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…
quant-ph2024
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…
quant-ph2024
Spectral gaps of two- and three-dimensional many-body quantum systems in the thermodynamic limit
Illya V. Lukin, Andrii G. Sotnikov, Jacob M. Leamer +2
We present an expression for the spectral gap, opening up new possibilities for performing and accelerating spectral calculations of quantum many-body systems. We develop and demon…