• Corpus ID: 238744110

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

Figures from this paper

Out-of-equilibrium dynamics of the Kitaev model on the Bethe lattice via a set of Heisenberg equations
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
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
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
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
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
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
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
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
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
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
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
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
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
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
...
1
2
3
4
5
...