Lecture Notes: many-body quantum dynamics with MCTDH-X
arXiv:2407.20317 · doi:10.21468/SciPostPhysLectNotes.94
Abstract
The lecture notes on "Many-body Quantum Dynamics with MCTDH-X," adapted from the 2023 Heidelberg MCTDH Summer School, provide an in-depth exploration of the Multiconfigurational Time-Dependent Hartree approach for indistinguishable particles. They serve as a comprehensive guide for understanding and utilizing the MCTDH-X software for both bosonic and fermionic systems. The tutorial begins with an introduction to the MCTDH-X software, highlighting its capability to handle various quantum systems, including those with internal degrees of freedom and long-range interactions. The theoretical foundation is then laid out on how to solve the time-dependent and time-independent Schrödinger equations for many-body systems. The workflow section provides practical instructions on setting up and executing simulations using MCTDH-X. Detailed benchmarks against exact solutions are presented, showcasing the accuracy and reliability of the software in ground-state and dynamic simulations. The notes then delve into the dynamics of quantum systems, covering relaxation processes, time evolution, and the analysis of propagation for both bosonic and fermionic particles. The discussion includes the interpretation of various physical quantities such as energy, density distributions, and orbital occupations. Advanced features of MCTDH-X are also explored in the last section, including the calculation of correlation functions and the creation of visualizations through video tutorials. The notes conclude with a Linux/UNIX command cheat sheet, facilitating ease of use for users operating the software on different systems. Overall, these lecture notes provide a valuable resource for researchers and students in the field of quantum dynamics, offering both theoretical insights and practical guidance on the use of MCTDH-X for studying complex many-body systems.
Adapted from a series of lectures given during the 2023 MCTDH Summer School in Heidelberg (Germany); 48 pages, 30 figures
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Cited by in corpus (7)
- Stability of dipolar bosons in a quasiperiodic potential
- Interaction Quench Dynamics and Stability of Quantum Vortices in Rotating Bose-Einstein Condensates
- Beyond-mean-field phases of rotating dipolar condensates
- Pauli crystal superradiance
- Dimensional crossover of bound complexes in a two-species Bose-Hubbard lattice: Correlations and dynamics
- Dynamics and fragmentation of bosons in an optical lattice inside a cavity using Wannier and position bases
- Entropy production and statistical relaxation of dipolar bosons and fermions in interaction quench dynamics