Investigation of the 1+1 dimensional Thirring model using the method of matrix product states

@article{Bauls2019InvestigationOT,
  title={Investigation of the 1+1 dimensional Thirring model using the method of matrix product states},
  author={Mar{\'i} Carmen Ba{\~n}uls and Krzysztof Cichy and Ying-Jer Kao and C.-J. David Lin and Yu-Ping Lin and David T.-L. Tan},
  journal={Proceedings of The 36th Annual International Symposium on Lattice Field Theory — PoS(LATTICE2018)},
  year={2019}
}
  • M. Bañuls, K. Cichy, David T.-L. Tan
  • Published 29 October 2018
  • Physics
  • Proceedings of The 36th Annual International Symposium on Lattice Field Theory — PoS(LATTICE2018)
We present preliminary results of a study on the non-thermal phase structure of the (1+1) dimensional massive Thirring model, employing the method of matrix product states. Through investigating the entanglement entropy, the fermion correlators and the chiral condensate, it is found that this approach enables us to observe numerical evidence of a Kosterlitz-Thouless phase transition in the model. 

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References

SHOWING 1-10 OF 23 REFERENCES
The mass spectrum of the Schwinger model with matrix product states
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
Tensor Network study of the (1+1)-dimensional Thirring Model
Tensor Network methods have been established as a powerful technique for simulating low dimensional strongly-correlated systems for over two decades. Employing the formalism of Matrix Product States,
Towards overcoming the Monte Carlo sign problem with tensor networks
TLDR
Tensor networks can tackle the sign problem of a lattice gauge theory at finite density, as demonstrated in the mass spectrum of this theory, its thermal properties and real-time dynamics.
Variational optimization algorithms for uniform matrix product states
TLDR
This work combines the density matrix renormalization group with matrix product state tangent space concepts to construct a variational algorithm for finding ground states of one-dimensional quantum lattices in the thermodynamic limit that works very efficiently for Hamiltonians with long-range interactions and for the simulation of two-dimensional models on infinite cylinders.
"J."
however (for it was the literal soul of the life of the Redeemer, John xv. io), is the peculiar token of fellowship with the Redeemer. That love to God (what is meant here is not God’s love to men)
Ann
Aaron Beck’s cognitive therapy model has been used repeatedly to treat depression and anxiety. The case presented here is a 34-year-old female law student with an adjustment disorder with mixed
Phys
  • Rev. B 14
  • 1976
Phys
  • Rev. Lett. 69
  • 1992
‘K’
  • P. Alam
  • Composites Engineering: An A–Z Guide
  • 2021
Mech
  • 0406
  • 2004
...
1
2
3
...