MCTDH-X is a program package to solve the time-dependent many-body Schroedinger equation for indistinguishable and interacting particles. The theory expands the field operator in time-dependent modes. Hence, MCTDH-X provides a way to systematically improve the predictive quality of the numerical description beyond mean-field methods like the discrete non-linear Schroedinger equation, the Gross-Pitaevskii equation, or Hartree-Fock approaches. Theory and background information can be found in the following references:

• MCTDH-X website: http://ultracold.org
• Releases on gitlab: https://gitlab.com/the-mctdh-x-repository/mctdh-x-releases
• Code workflow and tutorial: https://iopscience.iop.org/article/10.1088/2058-9565/ab788b
• Review of the MCTDH-X family of methods: https://journals.aps.org/rmp/abstract/10.1103/RevModPhys.92.011001
• original derivation MCTDH-B: https://journals.aps.org/pra/abstract/10.1103/PhysRevA.77.033613
• original derivation MCTDH-X: https://aip.scitation.org/doi/10.1063/1.2771159
• implementation of MCTDH-F: https://journals.aps.org/pra/abstract/10.1103/PhysRevA.93.033635
• implementation of MCTDH-B with spin: https://journals.aps.org/pra/abstract/10.1103/PhysRevA.93.063601