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Q: Fachverband Quantenoptik und Photonik
Q 24: Poster II
Q 24.16: Poster
Dienstag, 12. März 2024, 17:00–19:00, KG I Foyer
Time evolution in the Bose-Hubbard model using Matrix Product States — •Óscar Dueñas Sánchez1 and Alberto Rodríguez1,2 — 1Departamento de Física Fundamental, Universidad de Salamanca, E-37008 Salamanca, Spain — 2Instituto Universitario de Física Fundamental y Matemáticas (IUFFyM), Universidad de Salamanca, E-37008 Salamanca, Spain
The dynamical evolution of out of equilibrium configurations in the Bose-Hubbard model is studied using Matrix Product States and Time-Evolving Block Decimation (TEBD). The goodness of the method is benchmarked against the exact dynamics implemented via an expansion of the time-evolution operator using Chebyshev polynomials for ‘small’ systems. We determine the optimal truncation value of the onsite modes’ occupation number as a function of the interaction strength in order to capture faithfully the short time evolution across the chaotic phase using TEBD. Considering systems at unit density, sizes L 40, and times t 3 (tunneling times) we analyse the fingerprint of the emergence of the chaotic phase from the potentially diffusive spreading of density-density correlations at early times.
Keywords: Matrix Product States; Time-Evolving Block Decimation; Bose-Hubbard Model; Quantum Chaos