Quantum many-body physics - from entanglement to emergence

Education facts

Code: FYAD15

The course covers the following:<br> \- Introduction to problems in quantum many-body physics: emergence and collective behaviour, second quantisation, quantum statistics from second quantisation<br> \- Linear response theory: response functions, classical Drude formula for conductivity, calculations of electromagnetic linear response in quantum physics, f-sum rule<br> \-Spin chains: Jordan-Wigner transformation, XXZ, Heisenberg and Ising models<br> \- Fermi liquid theory: Fermi liquid ground state, quasiparticles and their stability, collective modes, Landau damping, non-Fermi liquids, Green's function and self-energy<br> \- Superfluids and superconductors: physical properties of superfluids and superconductors, BCS theory, spontaneous symmetry breaking and phase stiffness, vortices, the Higgs mechanism in superconductors, boson-vortex duality in two dimensions, chiral superfluids and superconductors<br> \- Quantum spin liquids and fractionalisation: the quantum Ising model, quantum antiferromagnetic order versus resonating-valence-bond state, emergent gauge fields and quantum spin liquids, Ising gauge theory, toric code model, fractionalised excitations and strings, quantum long-range entanglement and topological order<br> \- Numerical methods: tensor networks, neural network quantum states

Entry requirements

90 ECTS credits in Physics, including Quantum Physics I, 7.5 ECTS credits, and Solid State Physics, 7.5 ECTS credits. 45 ECTS credits in Mathematics, including Linear Algebra, 7.5 ECTS credits, Calculus and Geometry, 7.5 ECTS credits. Upper secondary level English 6 or English level 2. A corresponding assessment can be made.

Education offerings

Each offering has its own dates and conditions. Closed offerings are retained as history and do not mean that a new application is open.

• Quantum many-body physics - from entanglement to emergence

  Karlstad University

  Karlstad

  Start date: 29 March 2027

  End date: 6 June 2027

  Pace of study: 50 %