The mass spectrum of the Schwinger model with matrix product states
By M. Bañuls, Krzysztof Cichy, J. I. Cirac, Karl Jansen. 2013
184 citations recorded by the source corpus.
A bstractWe show the feasibility of tensor network solutions for lattice gauge theories in Hamiltonian formulation by applying matrix product states algorithms to the Schwinger model with zero and non-vanishing fermion mass. We introduce new techniques to compute excitations in a system with open boundary conditions, and to identify the states corresponding to low momentum and different quantum numbers in the continuum. For the ground state and both the vector and scalar mass gaps in the massive case, the MPS technique attains precisions comparable to the best results available from other techniques.
Subfields: Atomic and Molecular Physics, and Optics, Condensed Matter Physics, Nuclear and High Energy Physics
View Paper: https://www.semanticscholar.org/paper/df7fde350539392db476142960ed67f74cb5a82f
How researchers see this paper
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In Atomic and Molecular Physics, and Optics
- Frank Verstraete
- Simone Montangero
- Marcello Dalmonte
- J. Haegeman
- Norbert Schuch
- J. I. Cirac
- Peter Zoller
- Karel Van Acoleyen
In Condensed Matter Physics
- Frank Verstraete
- J. Haegeman
- Norbert Schuch
- Simone Montangero
- Marcello Dalmonte
- J. I. Cirac
- Peter Zoller
- E. Rico
In Nuclear and High Energy Physics
- Marcello Dalmonte
- Simone Montangero
- Frank Verstraete
- Peter Zoller
- Norbert Schuch
- Karel Van Acoleyen
- J. Haegeman
- J. I. Cirac
Citations in the corpus
- Lattice gauge theory simulations in the quantum information era (2016, methodology): “Exploiting the mapping of the Schwinger model to a long-range interacting spin system, one can also apply TN methods to perform detailed studies in one dimension, where many aspects of the Schwinger model in its Wilson formulation have been recently elucidated [39,41,91], including the lowlying spec”
- Real-time dynamics of lattice gauge theories with a few-qubit quantum computer (2016, unknown): “So far, the encoding approach to the Schwinger model that has been explained in this section, has been only been employed as a tool for analytical or numerical calculations [12, 32, 33].”
- Gauging Quantum States: From Global to Local Symmetries in Many-Body Systems (2014, background): “Aside from some extremely accurate results for the Schwinger model [18–20], there have been first explorations with two-dimensional pure gauge theory [17] and theoretical formulations of classes of tensor-network states with explicit gauge invariance [21–23,42].”
- Real-time Dynamics in U(1) Lattice Gauge Theories with Tensor Networks (2015, methodology): “Moreover, one can also study the continuum limit of the LGT (as already discussed for Wilson theories [30]): for QLMs, this can either be done using dimensional reduction [56], or by increasing the quantum link representation, similarly to what has been done in [29].”