Density matrix renormalization group approach to the massive Schwinger model
By Tim Byrnes, P. Sriganesh, R. Bursill, C. Hamer. 2002
150 citations recorded by the source corpus.
The massive Schwinger model is studied using a density matrix renormalization group approach to the staggered lattice Hamiltonian version of the model. Lattice sizes up to 256 sites are calculated, and the estimates in the continuum limit are almost two orders of magnitude more accurate than previous calculations. Coleman's picture of ``half-asymptotic'' particles at a background field $\ensuremath{\theta}=\ensuremath{\pi}$ is confirmed. The predicted phase transition at finite fermion mass $(m/g)$ is accurately located and demonstrated to belong in the 2D Ising universality class.
Subfields: Atomic and Molecular Physics, and Optics, Condensed Matter Physics
View Paper: https://www.semanticscholar.org/paper/f64eb0fa2cd69fb0bed7591afc2ab58d24e537fd
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In Atomic and Molecular Physics, and Optics
- Marcello Dalmonte
- Simone Montangero
- Peter Zoller
- J. I. Cirac
- Frank Verstraete
- Andrew J. Daley
- Rainer Blatt
- M. Bañuls
In Condensed Matter Physics
- Marcello Dalmonte
- Simone Montangero
- Frank Verstraete
- Peter Zoller
- J. I. Cirac
- M. Bañuls
- Uwe-Jens Wiese
- Maciej Lewenstein
Citations in the corpus
- Lattice gauge theory simulations in the quantum information era (2016, methodology): “ 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 low-lying spectrum [92] and the chiral condensate fraction [40, 93]. Fin”
- The mass spectrum of the Schwinger model with matrix product states (2013, methodology): “her hand, are adequate for lattice field theories, and can in particular be applied to models relevant to high energy physics problems. This route was first explored using the original DMRG formulation [20, 21]. The deeper understanding of the technique achieved thanks to TNS has increased the power o”
- Gauging Quantum States: From Global to Local Symmetries in Many-Body Systems (2014, unknown): “Following some early results [15,16], the application of tensor-network states to systems with gauge symmetry has recently seen a revived interest.”
- Simulating lattice gauge theories within quantum technologies (2019, methodology): “In addition, where possible, the results were compared with the numerical work of [78, 90, 67], and found to be in perfect agreement within the numerical precision.”