109 citations · 1.2k across the 57 of their papers we have counts for
30 papers · 1 filter
Low-temperature spectrum of the quantum transfer matrix of the XXZ chain in the massless regime
Saskia Faulmann, Frank Göhmann, Karol K. Kozlowski
The free energy per lattice site of a quantum spin chain in the thermodynamic limit is determined by a single `dominant' Eigenvalue of an associated quantum transfer matrix in the…
Bootstrap approach to 1+1 dimensional integrable quantum field theories: the case of the Sinh-Gordon model
Karol K. Kozlowski
1+1 dimensional integrable quantum field theories correspond to a sparse subset of quantum field theories where the calculation of physically interesting observables can be brought…
Dressed energy of the XXZ chain in the complex plane
Saskia Faulmann, Frank Göhmann, Karol K. Kozlowski
We consider the dressed energy of the XXZ chain in the massless antiferromagnetic parameter regime at and at finite magnetic field. This function is define…
Completeness of SoV Representation for Spin Chains
Sergey É. Derkachov, Karol K. Kozlowski, Alexander N. Manashov
This work develops a new method, based on the use of Gustafson's integrals and on the evaluation of singular integrals, allowing one to establish the unitarity of the separation of…
On the six-vertex model's free energy
Hugo Duminil-Copin, Karol Kajetan Kozlowski, Dmitry Krachun +2
In this paper, we provide new proofs of the existence and the condensation of Bethe roots for the Bethe Ansatz equation associated with the six-vertex model with periodic boundary…
Large deviations of energy transfers in nonequilibrium CFT and asymptotics of non-local Riemann-Hilbert problems
Krzysztof Gawedzki, Karol K. Kozlowski
A wide class of dimensional unitary conformal field theories allows for an explicit construction of nonequilibrium "profile states" interpolating smoothly between different e…
On convergence of form factor expansions in the infinite volume quantum Sinh-Gordon model in 1+1 dimensions
K. K. Kozlowski
This paper develops a technique allowing one to prove the convergence of a class of series of multiple integrals which corresponds to the form factor expansion of two-point functio…
Full counting statistics of energy transfers in inhomogeneous nonequilibrium states of (1+1)D CFT
Krzysztof Gawedzki, Karol K. Kozlowski
Employing the conformal welding technique, we find an exact expression for the Full Counting Statistics of energy transfers in a class of inhomogeneous nonequilibrium states of a (…
Riemann-Hilbert approach to a generalised sine kernel
R. Gharakhloo, A. R. Its, K. K. Kozlowski
We derive the large distance asymptotics of the Fredholm determinant of the so-called generalised sine kernel at the critical point. This kernel corresponds to a generalisation of…
High-temperature analysis of the transverse dynamical two-point correlation function of the XX quantum-spin chain
Frank Göhmann, Karol K. Kozlowski, Junji Suzuki
We analyse the transverse dynamical two-point correlation function of the XX chain by means of a thermal form factor series. The series is rewritten in terms of the resolvent and t…
Long-distance and large-time asymptotic behaviour of dynamic correlation functions in the massless regime of the XXZ spin-1/2 chain
Karol K. Kozlowski
Starting from the massless form factor expansion for the two-point dynamical correlation functions obtained recently, I extract the long-distance and large-time asymptotics of thes…
On singularities of dynamic response functions in the massless regime of the XXZ spin-1/2 chain
K. K. Kozlowski
This work extracts, by means of an exact analysis, the singular behaviour of the dynamical response functions -- the Fourier transforms of dynamical two-point functions -- in the v…
Thermodynamics of the spin- Heisenberg-Ising chain at high temperatures: a rigorous approach
Frank Göhmann, Salvish Goomanee, Karol K. Kozlowski +1
This work develops a rigorous setting allowing one to prove several features related to the behaviour of the Heisenberg-Ising (or XXZ) spin- chain at finite temperature . W…
On the separation of variables for the modular XXZ magnet and the lattice Sinh-Gordon models
Sergey E. Derkachov, Karol K. Kozlowski, Alexander N. Manashov
We construct the generalised Eigenfunctions of the entries of the monodromy matrix of the -site modular XXZ magnet and show, in each case, that these form a complete orthogonal…
Solution of Baxter equation for the -Toda and Toda chains by NLIE
O. Babelon, K. K. Kozlowski, V. Pasquier
We construct a basis of solutions of the scalar equation describing the spectrum of the -Toda and Toda chains by using…
The Toda chain
O. Babelon, K. K. Kozlowski, V. Pasquier
We show that a natural discretisation of Virasoro algebra yields a quantum integrable model which is the Toda chain in the second Hamiltonian structure.
On the thermodynamic limit of form factor expansions of dynamical correlation functions in the massless regime of the XXZ spin chain
K. K. Kozlowski
This work constructs a well-defined and operational form factor expansion in a model having a massless spectrum of excitations. More precisely, the dynamic two-point functions in t…
Form factors of bound states in the XXZ chain
Karol K. Kozlowski
This work focuses on the calculation of the large-volume behaviour of form factors of local operators in the XXZ spin- chain taken between the ground state and an excited stat…
On condensation properties of Bethe roots associated with the XXZ chain
K. K. Kozlowski
I prove that the Bethe roots describing either the ground state or a certain class of "particle-hole" excited states of the XXZ spin- chain in any sector with magnetisation $\…
Microscopic approach to a class of 1D quantum critical models
K. K. Kozlowski, J. -M. Maillet
Starting from the finite volume form factors of local operators, we show how and under which hypothesis the free boson conformal field theory in two-dimensions emerges as an…
Asymptotic expansion of a partition function related to the sinh-model
G. Borot, A. Guionnet, K. K. Kozlowski
This paper develops a method to carry out the large- asymptotic analysis of a class of -dimensional integrals arising in the context of the so-called quantum separation of va…
Large-N asymptotic expansion for mean field models with Coulomb gas interaction
Gaëtan Borot, Alice Guionnet, Karol K. Kozlowski
We derive the large-N, all order asymptotic expansion for a system of N particles with mean-field interactions on top of a Coulomb repulsion at temperature 1/β, under the assumptio…
Functions Characterizing the Ground State of the XXZ Spin-1/2 Chain in the Thermodynamic Limit
Maxime Dugave, Frank Göhmann, Karol K. Kozlowski
We establish several properties of the solutions to the linear integral equations describing the infinite volume properties of the XXZ spin-1/2 chain in the disordered regime. In p…
Unitarity of the SoV transform for the Toda chain
K. K. Kozlowski
The quantum separation of variables method consists in mapping the original Hilbert space where a spectral problem is formulated onto one where the spectral problem takes a simpler…