Gaussian states for the variational study of (1+1)-dimensional lattice gauge models
arXiv:1811.04899 · doi:10.22323/1.334.0230
Abstract
We introduce a variational ansatz based on Gaussian states for (1+1)-dimensional lattice gauge models. To this end we identify a set of unitary transformations which decouple the gauge degrees of freedom from the matter fields. Using our ansatz, we study static aspects as well as real-time dynamics of string breaking in two (1+1)-dimensional theories, namely QED and two-color QCD. We show that our ansatz captures the relevant features and is in excellent agreement with data from numerical calculations with tensor networks.
arXiv comment7 pages, 2 figures, proceedings of the 36th Annual International Symposium on Lattice Field Theory, 22-28 July, 2018 Michigan State University, East Lansing, Michigan, USA
References in corpus (14)
- Computational complexity and fundamental limitations to fermionic quantum Monte Carlo simulations
- Real-time dynamics of lattice gauge theories with a few-qubit quantum computer
- Reduced density matrices and entanglement entropy in free lattice models
- Ab-initio Determination of Light Hadron Masses
- Observation of String Breaking in QCD
- Lattice gauge theories simulations in the quantum information era
- Non-Abelian string breaking phenomena with Matrix Product States
- Density Induced Phase Transitions in the Schwinger Model: A Study with Matrix Product States
- Real-time simulation of the Schwinger effect with Matrix Product States
- Finite-density phase diagram of a (1+1)-d non-abelian lattice gauge theory with tensor networks
- Variational study of U(1) and SU(2) lattice gauge theories with Gaussian states in 1+1 dimensions
- Pairing in fermionic systems: A quantum information perspective
- Solving quantum impurity problems in and out of equilibrium with variational approach
- Tensor network simulation of QED on infinite lattices: learning from (1+1)d, and prospects for (2+1)d