Regensburg 2019 – scientific programme
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DY: Fachverband Dynamik und Statistische Physik
DY 42: Focus: Many-Body Quantum Chaos
DY 42.5: Talk
Thursday, April 4, 2019, 11:00–11:15, H20
Particle-Evolution Operator in Spin Chains with Spin 1/2 — •Daniel Waltner1, Maram Akila1, Boris Gutkin2, and Thomas Guhr1 — 1Fakultät für Physik, Universität Duisburg-Essen, Lotharstr. 1, 47048 Duisburg — 2Department of Applied Mathematics, Holon Institute of Technology, 58102 Holon, Israel
A major difficulty in describing interacting many-body systems is the enormous size of the Hilbert space: usually it grows exponentially with the number of particles. In order to overcome this difficulty I will introduce in my talk an evolution in particle instead of time direction. The dimension of the particle-evolution operator grows exponentially with time making it especially appropriate to describe the short-time dynamics of the system. I will consider a chain of spin 1/2 particles with nearest neighbor Ising interaction and on-site magnetic field. I will discuss the properties of this particle-evolution operator and the spectral form factor that is used to analyze the correlation properties of the eigenvalues of the underlying quantum system.