Berlin 2024 – scientific programme

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TT: Fachverband Tiefe Temperaturen

TT 8: Focus Session: Quantum Interactive Dynamics I (joint session DY/TT)

TT 8.4: Talk

Monday, March 18, 2024, 11:00–11:15, A 151

Truncated Hilbert space approach for simulating dynamics in perturbed Ising chains — •Nico Albert¹ and Hong-Hao Tu² — ¹Technische Universität Dresden, Dresden, Germany — ²Ludwig-Maximilians-Universität München, Munich, Germany

Simulating dynamics in interacting quantum many-body systems is a challenging problem. We develop a truncated Hilbert space approach (THSA) and apply it to the quantum Ising chain with both transverse and longitudinal fields for studying its spectrum and quench dynamics. We find that the characteristic features of this model, such as E₈ particles with universal mass ratios, are well captured in the truncated Hilbert space approach. We also use this new method to study the confinement dynamics of domain-wall bound states in the ferromagnetic phase.

Keywords: quantum many-body dynamics; truncated Hilbert space approach; perturbed Ising chain