In this report we discuss the dynamical response of heavy quantum impurities immersed in a
Fermi gas at zero and at finite temperature. Studying both the frequency and the time …

The Frehlich polaron model describes a ubiquitous class of problems concerned with
understanding the properties of a single mobile particle interacting with a bosonic reservoir …

The full momentum dependence of spectrum of a point-like impurity immersed in a dilute
one-dimensional Bose gas is calculated on the mean-field level. In particular we elaborate …

We examine stationary-state properties of an impurity particle injected into a one-
dimensional quantum gas. We show that the value of the impurity's end velocity lies between …

We propose a transformation for spin and charge degrees of freedom in one-dimensional
lattice systems, constrained to have no doubly occupied sites, that allows direct access to …

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

We introduce effective form factors for one-dimensional lattice fermions with arbitrary phase
shifts. We study tau functions defined as series of these form factors. On the one hand we …

We investigate the momentum distribution function of a single distinguishable impurity
particle which formed a polaron state in a gas of either free fermions or Tonks-Girardeau …

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 …

In this work we study the Kubo-Martin-Schwinger (KMS) relation in the Yang-Gaudin model
of an interacting mobile impurity. We use the integrability of the model to compute the …