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Entanglement Barriers from Computational Complexity: Matrix-Product-State Approach to Satisfiability
Tim Pokart, Frank Pollmann, Jan Carl Budich
We approach the 3-SAT satisfiability problem with the quantum-inspired method of imaginary time propagation (ITP) applied to matrix product states (MPS) on a classical computer. Th…
Asymptotic Exceptional Steady States in Dissipative Dynamics
Yu-Min Hu, Jan Carl Budich
Spectral degeneracies in Liouvillian generators of dissipative dynamics generically occur as exceptional points, where the corresponding non-Hermitian operator becomes non-diagonal…
Quench-Probe Setup as Analyzer of Fractionalized Entanglement Spreading
Nicolas P. Bauer, Jan Carl Budich, Björn Trauzettel +1
We propose a novel spatially inhomogeneous setup for revealing quench-induced fractionalized excitations in entanglement dynamics. In this quench-probe setting, the region undergoi…
Symmetry protected exceptional points of interacting fermions
Robin Schäfer, Jan C. Budich, David J. Luitz
Non-hermitian quantum systems can exhibit spectral degeneracies known as exceptional points, where two or more eigenvectors coalesce, leading to a non-diagonalizable Jordan block.…
Quantum Non-Hermitian Topological Sensors
Florian Koch, Jan Carl Budich
We investigate in the framework of quantum noise theory how the striking boundary-sensitivity recently discovered in the context of non-Hermitian (NH) topological phases may be har…
Simulating Exceptional Non-Hermitian Metals with Single-Photon Interferometry
Kunkun Wang, Lei Xiao, Jan Carl Budich +2
We experimentally simulate in a photonic setting non-Hermitian (NH) metals characterized by the topological properties of their nodal band structures. Implementing nonunitary time…