Variational Simulation of Quantum Field Theories with Local Constraints [RBRC seminar]

by Ananda Roy (Rutgers / Condensed Matter, BNL)

Thursday 30 Oct 2025, 12:30 → 14:00 US/Eastern

2-160 (https://bnl.zoomgov.com/j/1600983728?pwd=RAD7OLcqre7Ycsp6JfFp6HAnpyLxex.1)

Investigation of strongly interacting quantum field theories (QFTs) remains an outstanding challenge of modern physics. Despite progress using Euclidean-time Monte Carlo techniques, numerous questions concerning non-equilibrium dynamics, scattering amplitudes, and models with nonzero theta terms remain out of reach. Digital quantum simulation of lattice models for QFTs in the Hamiltonian picture has the potential to overcome many of the challenges faced by classical computing approaches. In this work, we develop a variational quantum-classical framework for the simulation of lattice models with local constraints that realize strongly interacting QFTs in two and three space-time dimensions. The relevant gauge degrees of freedom are mapped to qubits with a systematic scheme for conserving the local constraints. Quantum circuits for the creation of eigenstates of the lattice Hamiltonians are obtained using gradient descent methods on unitary manifolds. The developed framework is benchmarked using classical tensor network analysis of anyonic chain Hamiltonians and multi-flavor Schwinger models.

 

Talk_AR_BNL_sent.pptx