# Quenches to the critical point of the three-state Potts model: Matrix product state simulations and conformal field theory

@article{Robertson2022QuenchesTT, title={Quenches to the critical point of the three-state Potts model: Matrix product state simulations and conformal field theory}, author={Niall F. Robertson and Jacopo Surace and Luca Tagliacozzo}, journal={Physical Review B}, year={2022} }

Conformal Field Theories (CFTs) have been used extensively to understand the physics of critical lattice models at equilibrium. However, the applicability of CFT calculations to the behaviour of the lattice systems in the out-of-equilibrium setting is not entirely understood. In this work, we compare the CFT results of the evolution of the entanglement spectrum after a quantum quench with numerical calculations of the entanglement spectrum of the three state Potts model using matrix product…

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## References

SHOWING 1-10 OF 14 REFERENCES

Quantum Quenches to a Critical Point in One Dimension: some further results

- Physics
- 2015

We describe several results concerning global quantum quenches from states with short-range correlations to quantum critical points whose low-energy properties are described by a 1+1-dimensional…

Entanglement Hamiltonian evolution during thermalization in conformal field theory

- PhysicsJournal of Statistical Mechanics: Theory and Experiment
- 2018

In this work, we study the time evolution of the entanglement hamiltonian during the process of thermalization in a (1+1)-dimensional conformal field theory (CFT) after a quantum quench from a…

Entanglement Hamiltonians in 1D free lattice models after a global quantum quench

- PhysicsJournal of Statistical Mechanics: Theory and Experiment
- 2019

We study the temporal evolution of the entanglement hamiltonian of an interval after a global quantum quenchin free lattice models in one spatial dimension. In a harmonic chain we explore a quench of…

Boundary critical phenomena in the three-state Potts model

- Physics
- 1998

Boundary critical phenomena are studied in the three-state Potts model in two dimensions using conformal field theory, duality and renormalization group methods. A presumably complete set of boundary…

Parafermionic conformal field theory on the lattice

- Physics
- 2014

Finding the precise correspondence between lattice operators and the continuum fields that describe their long-distance properties is a largely open problem for strongly interacting critical points.…

Entanglement hamiltonians in two-dimensional conformal field theory

- Physics
- 2016

We enumerate the cases in 2d conformal field theory where the logarithm of the reduced density matrix (the entanglement or modular hamiltonian) may be written as an integral over the energy-momentum…

On entanglement Hamiltonians of an interval in massless harmonic chains

- PhysicsJournal of Statistical Mechanics: Theory and Experiment
- 2020

We study the continuum limit of the entanglement Hamiltonians of a block of consecutive sites in massless harmonic chains. This block is either in the chain on the infinite line or at the beginning…

Can one trust quantum simulators?

- PhysicsReports on progress in physics. Physical Society
- 2012

It is found that disorder can decrease the reliability of an analog quantum simulator of this model, although large errors in local observables are introduced only for strong levels of disorder.

Conformal Invariance and Critical Phenomena

- Physics, Mathematics
- 1999

1. Critical Phenomena: a Reminder.- 2. Conformal Invariance.- 3. Finite-Size Scaling.- 4. Representation Theory of the Virasoro Algebra.- 5. Correlators, Null Vectors and Operator Algebra.- 6. Ising…

Conformal Field Theory

- Physics, Education
- 1999

Filling an important gap in the literature, this comprehensive text develops conformal field theory from first principles. The treatment is self-contained, pedagogical, and exhaustive, and includes a…