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 staggered regularization. In this paper, details of the implementation for this project are described. To depict the phase diagram of the model, we examine the entanglement entropy, the fermion bilinear condensate, and two types of correlation functions. Our investigation shows the existence of two phases, with one of them being critical and the other gapped. An interesting feature of the phase structure is that the theory with the nonzero fermion mass can be conformal. We also find clear numerical evidence that these phases are separated by a transition of the Berezinskii-Kosterlitz-Thouless type. Results presented in this paper establish the possibility of using the matrix product states for probing this type of phase transition in quantum field theories. They can provide information for further exploration of scaling behavior, and they serve as an important ingredient for controlling the continuum extrapolation of the model.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 staggered regularization. In this paper, details of the implementation for this project are described. To depict the phase diagram of the model, we examine the entanglement entropy, the fermion bilinear condensate, and two types of correlation functions. Our investigation shows the existence of two phases, with one of them being critical and the other gapped. An interesting feature of the phase structure is that the theory with the nonzero fermion mass can be conformal. We also find clear numerical evidence that these phases are separated by a transition of the Berezinskii-Kosterlitz-Thouless type. Results presented in this paper establish the possibility of using the matrix product states for probing this type of phase transition in quantum field theories. They can provide information for further exploration of scaling behavior, and they serve as an important ingredient for controlling the continuum extrapolation of the model.

arXiv:1908.04536Physical review. D/Physical review. D.Nov 20, 201917 citations

Phase transitions in quantum field theory

Arturo Amador

Jan 1, 20170 citations

Criticality of quantum energy teleportation at phase transition points in quantum field theory

Kazuki Ikeda

Quantum field theory can be a new medium for communication through quantum energy teleportation. We perform a demonstration of quantum energy teleportation with a relativistic fermionic field theory of self-coupled fermions, called the massive Thirring model. Our results reveal that there is a close relationship between the amount of energy teleported and the phase diagram of the theory. In particular, we show that the teleported energy peaks near the phase transition points. Since these results are obtained by measuring the two local subsystems, the noise from the quantum computation can be considerably reduced, allowing for efficient quantum simulations. Moreover, it is a new entanglement-based method that reveals global structure through local measurements.Quantum field theory can be a new medium for communication through quantum energy teleportation. We perform a demonstration of quantum energy teleportation with a relativistic fermionic field theory of self-coupled fermions, called the massive Thirring model. Our results reveal that there is a close relationship between the amount of energy teleported and the phase diagram of the theory. In particular, we show that the teleported energy peaks near the phase transition points. Since these results are obtained by measuring the two local subsystems, the noise from the quantum computation can be considerably reduced, allowing for efficient quantum simulations. Moreover, it is a new entanglement-based method that reveals global structure through local measurements.

arXiv:2301.11712Physical review. D/Physical review. D.Apr 17, 202331 citations

Quantum Phase Transitions in Related Models

Amit Dutta, G. Aeppli, Bikas K. Chakrabarti +3 more

Cambridge University Press eBooksJan 28, 20150 citations

Dissipative phase transition in quantum field theory

Theoretical Physics

Annals of PhysicsNov 1, 19920 citations

The Luttinger mode, Thirring strings, and enhanced internal symmetries

Uwe K. Albertin, Michael G. Cleveland, Tim Pritchett

The standard solution of the Luttinger model (1963) is compared with recent formulations of the Thirring model used in describing Thirring strings. These models may in turn be described by compactified boson models of particular radii. An interesting discrepancy is noted between the apparent radius of the bosons in the Luttinger model and those in the Thirring model. This difference manifests itself in different conformal weights for the fermion fields. The authors resolve this discrepancy by performing an additional rescaling of the Luttinger model bosons. They then examine the enhanced symmetry points that occur in the boson theory at particular values of the radii. In particular, for the Thirring model with two families of spinors, which corresponds to a conformal theory with central extension c=2, one finds an enhanced SU(3) L *SU(3) R symmetry for certain values of the boson radii. This theory is equivalent to the Luttinger model with spin. By examining the response functions for the Luttinger model it is found that the point of SU(3) L *SU(3) R symmetry lies on the Luttinger model phase transition lines.The standard solution of the Luttinger model (1963) is compared with recent formulations of the Thirring model used in describing Thirring strings. These models may in turn be described by compactified boson models of particular radii. An interesting discrepancy is noted between the apparent radius of the bosons in the Luttinger model and those in the Thirring model. This difference manifests itself in different conformal weights for the fermion fields. The authors resolve this discrepancy by performing an additional rescaling of the Luttinger model bosons. They then examine the enhanced symmetry points that occur in the boson theory at particular values of the radii. In particular, for the Thirring model with two families of spinors, which corresponds to a conformal theory with central extension c=2, one finds an enhanced SU(3) L *SU(3) R symmetry for certain values of the boson radii. This theory is equivalent to the Luttinger model with spin. By examining the response functions for the Luttinger model it is found that the point of SU(3) L *SU(3) R symmetry lies on the Luttinger model phase transition lines.

Journal of Physics A Mathematical and GeneralJun 21, 19900 citations

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 staggered regularization. In this paper, details of the implementation for this project are described. To depict the phase diagram of the model, we examine the entanglement entropy, the fermion bilinear condensate, and two types of correlation functions. Our investigation shows the existence of two phases, with one of them being critical and the other gapped. An interesting feature of the phase structure is that the theory with the nonzero fermion mass can be conformal. We also find clear numerical evidence that these phases are separated by a transition of the Berezinskii-Kosterlitz-Thouless type. Results presented in this paper establish the possibility of using the matrix product states for probing this type of phase transition in quantum field theories. They can provide information for further exploration of scaling behavior, and they serve as an important ingredient for controlling the continuum extrapolation of the model.