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The course utilizes hands-on Computer Labs based on:

  • QuSpin Python package for numerical calculations (exact diagonalization and quantum dynamics) of arbitrary boson, fermion and spin many-body systems,
  • QuTiP Python package for numerical calculations of time evolution of open quantum systems, such as qubits in dissipative environment,
  • SNEG Mathematica package for analytical calculations in second quantization.

It also offers students Research-Project Based Learning track where a scientific paper can be completed by the end of the semester as exemplified by:

  • U. Bajpai, A. Suresh, and B. K. Nikolić, Quantum many-body states and Green functions of nonequilibrium electron-magnon systems: Localized spin operators vs. their mapping to Holstein-Primakoff bosons, Phys. Rev. B 104, 184425 (2021). [PDF]
  • P. Mondal, A. Suresh, and B. K. Nikolić, When can localized spins interacting with conduction electrons in ferro- or antiferromagnets be described classically via the Landau-Lifshitz equation: Transition from quantum many-body entangled to quantum-classical nonequilibrium states, Phys. Rev. B 104, 214401 (2021). [PDF]