Matrix product states for Hamiltonian lattice gauge theories
arXiv:1411.0020
Abstract
Over the last decade tensor network states (TNS) have emerged as a powerful tool for the study of quantum many body systems. The matrix product states (MPS) are one particular case of TNS and are used for the simulation of 1+1 dimensional systems. In [1] we considered the MPS formalism for the simulation of the Hamiltonian lattice gauge formulation of 1+1 dimensional one flavor quantum electrodynamics, also known as the massive Schwinger model. We deduced the ground state and lowest lying excitations. Furthermore, we performed a full quantum real-time simulation for a quench with a uniform background electric field. In this proceeding we continue our work on the Schwinger model. We demonstrate the advantage of working with gauge invariant MPS by comparing with MPS simulations on the full Hilbert space, that includes numerous non-physical gauge variant states. Furthermore, we compute the chiral condensate and recover the predicted UV-divergent behavior.
presented at the 32nd International Symposium on Lattice Field Theory (Lattice 2014), 23 - 28 June 2014, New York, USA
References in corpus (6)
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Cited by in corpus (5)
- Non-Abelian string breaking phenomena with Matrix Product States
- Topological vacuum structure of the Schwinger model with matrix product states
- Chiral condensate in the Schwinger model with Matrix Product Operators
- Finite-density phase diagram of a (1+1)-d non-abelian lattice gauge theory with tensor networks
- Entanglement renormalization for gauge invariant quantum fields