# 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} }

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.

## 4 Citations

Phase structure of the (
1+1
)-dimensional massive Thirring model from matrix product states

- PhysicsPhysical Review D
- 2019

Employing matrix product states as an ansatz, we study the nonthermal phase structure of the ($1+1$)-dimensional massive Thirring model in the sector of a vanishing total fermion number with…

Quantum computation of an interacting fermionic model

- PhysicsQuantum Science and Technology
- 2020

Relativistic fermionic field theories constitute the fundamental description of all observable matter. The simplest of the models provide a useful, classically verifiable benchmark for noisy…

Tensor Networks and their use for Lattice Gauge Theories

- Computer ScienceProceedings of The 36th Annual International Symposium on Lattice Field Theory — PoS(LATTICE2018)
- 2019

Some of the recent progress in Tensor Network States is reviewed, and how, using one dimensional models as testbench, some fundamental milestones have been reached that may pave the way to more ambitious goals.

Phase structure and real-time dynamics of the massive Thirring model in 1+1 dimensions using the tensor-network method

- Physics
- 2019

We present concluding results from our study for zero-temperature phase structure of the massive Thirring model in 1+1 dimensions with staggered regularisation. Employing the method of matrix product…

## References

SHOWING 1-10 OF 23 REFERENCES

The mass spectrum of the Schwinger model with matrix product states

- Physics
- 2013

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

- Physics
- 2017

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

- Physics, Computer Science
- 2016

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

- Computer Science, Physics
- 2018

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."

- Philosophy
- 1890

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

- Psychology
- 2005

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

Mech

- 0406
- 2004