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QuantHEP Seminar, Karl Jansen

Date: October 6, 2021

New session of the QuantHEP Seminar – Quantum Computation and High-Energy Physics Seminar:

Title: From tensor networks to quantum computations of lattice field theories

Speaker: Karl Jansen (DESY)

Date: Wednesday 6 October 2021

Time: 17h00 Brussels = 16h00 Lisbon = 12h00 Rio de Janeiro = 11h00 New York = 8h00 San Francisco = etc.

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Abstract: We will explore U(1) lattice gauge theories with topological terms in D=1,2 and 3 spatial dimensions. For D=1, we scrutinize mass perturbation theory at small positive and negative fermion masses, with the latter case being inaccessible for MCMC. In D=2 we provide a resource efficient formulation of the Hamiltonian which can be used for both, tensor networks and quantum computations, and which works for all values of the coupling. In addition, it can be generalized to non-abelian groups and higher dimensions in a straightforward fashion. In our practical example in D=2 we use this formulation to simulate negative fermions masses and find an indication of a phase transition. In D=3 we provide a Hamiltonian formulation of the topological term, including non-abelian theories and explore the phase diagram of the model. Our results suggest a second order topological phase transition at strong coupling.

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