Identical Water Dynamics in Acrylamide Hydrogels, Polymers, and Monomers in Solution: Ultrafast IR Spectroscopy and Molecular Dynamics Simulations
- Award ID(s):
- 1800559
- PAR ID:
- 10356705
- Date Published:
- Journal Name:
- Journal of the American Chemical Society
- Volume:
- 143
- Issue:
- 36
- ISSN:
- 0002-7863
- Page Range / eLocation ID:
- 14855 to 14868
- Format(s):
- Medium: X
- Sponsoring Org:
- National Science Foundation
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What can one infer about the dynamical evolution of quantum systems just by symmetry considerations? For Markovian dynamics in finite dimensions, we present a simple construction that assigns to each symmetry of the generator a family of scalar functions over quantum states that are monotonic under the time evolution. The aforementioned monotones can be utilized to identify states that are non-reachable from an initial state by the time evolution and include all constraints imposed by conserved quantities, providing a generalization of Noether's theorem for this class of dynamics. As a special case, the generator itself can be considered a symmetry, resulting in non-trivial constraints over the time evolution, even if all conserved quantities trivialize. The construction utilizes tools from quantum information-geometry, mainly the theory of monotone Riemannian metrics. We analyze the prototypical cases of dephasing and Davies generators.more » « less
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