# Large time and long distance asymptotics of the thermal correlators of the impenetrable anyonic lattice gas

@inproceedings{Zhuravlev2021LargeTA, title={Large time and long distance asymptotics of the thermal correlators of the impenetrable anyonic lattice gas}, author={Yu. Yu. Zhuravlev and Eduard Naichuk and N. Z. Iorgov and Oleksandr Gamayun}, year={2021} }

We study thermal correlation functions of the one-dimensional impenetrable lattice anyons. These correlation functions can be presented as a difference of two Fredholm determinants. To describe large time and long distance behavior of these objects we use the effective form factor approach. The asymptotic behavior is different in the space-like and time-like regions. In particular, in the time-like region we observe the additional power factor on top of the exponential decay. We argue that this…

## 4 Citations

Out-of-equilibrium dynamics of the Kitaev model on the Bethe lattice via a set of Heisenberg equations

- 2021

The Kitaev model on the honeycomb lattice, while being integrable via the spinfermion mapping, has generally resisted an analytical treatment of the far-fromequilibrium dynamics due to the extensive…

The hydrodynamic theory of dynamical correlation functions in the XX chain

- Physics, Mathematics
- 2021

By the hydrodynamic linear response theory, dynamical correlation functions decay as power laws along certain velocities, determined by the flux Jacobian. Such correlations are obtained by…

On the Dynamics of Free-Fermionic Tau-Functions at Finite Temperature

- Physics, Mathematics
- 2021

In this work we explore an instance of the τ-function of vertex type operators, specified in terms of a constant phase shift in a free-fermionic basis. From the physical point of view this τ-function…

Out-of-equilibrium dynamics of the Kitaev model on the Bethe lattice via coupled Heisenberg equations

- Physics, Mathematics
- 2021

The Kitaev model on the honeycomb lattice, while being integrable via the spinfermion mapping, has generally resisted an analytical treatment of the far-fromequilibrium dynamics due to the extensive…

## References

SHOWING 1-10 OF 86 REFERENCES

One-dimensional impenetrable anyons in thermal equilibrium: IV. Large time and distance asymptotic behavior of the correlation functions

- Physics, Mathematics
- 2010

This work presents the derivation of the large time and distance asymptotic behavior of the field–field correlation functions of impenetrable one-dimensional anyons at finite temperature. In the…

One-dimensional impenetrable anyons in thermal equilibrium: III. Large distance asymptotics of the space correlations

- Mathematics, Physics
- 2009

Using the determinant representation for the field–field correlation functions of impenetrable anyons at finite temperature obtained in [1], we derive a system of nonlinear partial differential…

Time and Temperature Dependent Correlation Functions of the One-Dimensional Impenetrable Electron Gas

- Physics, Mathematics
- 1998

We consider the one-dimensional delta-interacting electron gas in the case of infinite repulsion. We use determinant representations to study the long time, large distance asymptotics of correlation…

Large-distance asymptotic behavior of the correlation functions of 1D impenetrable anyons at finite temperatures

- Physics, Mathematics
- 2009

The large-distance asymptotic behavior of the field-field correlators has been computed for one-dimensional impenetrable anyons at finite temperatures. The asymptotic behavior agrees with the…

Low temperature correlation functions in integrable models: Derivation of the large distance and time asymptotics from the form factor expansion

- Physics
- 2006

Abstract We propose an approach to the problem of low but finite temperature dynamical correlation functions in integrable one-dimensional models with a spectral gap. The approach is based on the…

Temperature and magnetic field-dependent correlators of the exactly integrable (1+1)-dimensional gas of impenetrable fermions

- Physics
- 1991

The author shows that the finite-temperature equal-time field correlators of the exactly integrable (1+1)-dimensional gas of impenetrable fermions in a magnetic field can be expressed as the first…

Zero temperature correlation functions for the impenetrable fermion gas

- Mathematics, Physics
- 2004

We calculate the long time and distance asymptotics of the one-particle correlation functions in the model of impenetrable spin 1/2 fermions in 1 + 1 dimensions. We consider the spin disordered zero…

Long-time large-distance asymptotics of the transverse correlation functions of the XX chain in the spacelike regime

- Physics, Mathematics
- 2020

We derive an explicit expression for the leading term in the long-time, large-distance asymptotic expansion of a transverse dynamical two-point function of the XX chain in the spacelike regime. This…

Correlation functions of one-dimensional Lieb–Liniger anyons

- Mathematics, Physics
- 2007

We have investigated the properties of a model of 1D anyons interacting through a δ-function repulsive potential. The structure of the quasi-periodic boundary conditions for the anyonic field…

Correlation functions and momentum distribution of one-dimensional hard-core anyons in optical lattices

- Physics, Mathematics
- 2014

We address the problem of calculating the correlation functions in a system of one-dimensional hard-core anyons that can be experimentally realized in optical lattices. Using the summation of form…