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19932026
most citedReal Spectra in Non-Hermitian Hamiltonians Having PT Symmetry

6.7k citations · 11.8k across the 122 of their papers we have counts for

collaborators

122 papers

cond-mat.dis-nn2026

Cluster-based Message-Passing (CluMP) Optimization for Complex QUBO Problems

Paolo Rissone, Stefan Boettcher, Alfonso Amendola +2

Quadratic Unconstrained Boolean Optimization (QUBO) problems are widespread in both industrial applications and scientific studies. A QUBO problem corresponds to the optimization o…

cond-mat.dis-nn2024★ 2 cited

Physics of the Edwards-Anderson Spin Glass in Dimensions from Heuristic Ground State Optimization

Stefan Boettcher

We present a collection of simulations of the Edwards-Anderson lattice spin glass at to elucidate the nature of low-energy excitations over a range of dimensions that reach f…

quant-ph2023★ 93 cited

PT-symmetric quantum mechanics

Carl M. Bender, Daniel W. Hook

It is generally assumed that a Hamiltonian for a physically acceptable quantum system (one that has a positive-definite spectrum and obeys the requirement of unitarity) must be Her…

cond-mat.soft2023

Instability cascades in crumpling mylar sheets follow a log-Poisson statistic

Stefan Boettcher, Paula A. Gago

The process of aging following a hard quench into a glassy state is characterized universally, for a wide class of materials, by logarithmic evolution of state variables and a powe…

cond-mat.dis-nn2023★ 7 cited

Deep reinforced learning heuristic tested on spin-glass ground states: The larger picture

Stefan Boettcher

In Changjun Fan et al. [Nature Communications https://doi.org/10.1038/s41467-023-36363-w (2023)], the authors present a deep reinforced learning approach to augment combinatorial o…

cond-mat.dis-nn2022★ 22 cited

Inability of a graph neural network heuristic to outperform greedy algorithms in solving combinatorial optimization problems like Max-Cut

Stefan Boettcher

In Nature Machine Intelligence 4, 367 (2022), Schuetz et al provide a scheme to employ graph neural networks (GNN) as a heuristic to solve a variety of classical, NP-hard combinato…