138 citations · 1.1k across the 40 of their papers we have counts for
41 papers
Existence of Kraus decomposition in infinite dimension via strongly-convergent direct process tomography
Paul E. Lammert
An algorithm is presented for Kraus decomposition of a completely positive operator over separable (countably-infinite-dimensional) Hilbert spaces, together with an elementary proo…
Notes on completely positive maps and continuous-time Markovian CP evolution. A geometry-flavored perspective
Paul E. Lammert
These notes provide a detailed and self-contained exposition of basic theory of CP maps and continuous-time Markovian evolution.The infinite-dimensional (separable) setting is hand…
Kohn-Sham computation and the bivariate view of density functional theory
Paul E. Lammert
Informed by an abstraction of Kohn-Sham computation called a KS machine, a functional analytic perspective is developed on mathematical aspects of density functional theory. A natu…
Cluster expansion methods from physical concepts
Paul E. Lammert, Vincent H. Crespi
The cluster expansion formalism used in materials science is reconstructed on an axiomatic basis with the aims of clarifying underlying concepts and improving computational procedu…
Infinite-dimensional analyticity in quantum physics
Paul E. Lammert
A study is made, of families of Hamiltonians parameterized over open subsets of Banach spaces in a way which renders many interesting properties of eigenstates and thermal states a…
Field-tunable interactions and frustration in underlayer-mediated artificial spin ice
Susan Kempinger, Yu-Sheng Huang, Paul Lammert +5
Artificial spin ice systems have opened experimental windows into a range of model magnetic systems through the control of interactions among nanomagnet moments. This control has p…