5 papers
Pair-correlation ansatz for the ground state of interacting bosons in an arbitrary one-dimensional potential
Przemysław Kościk, Arkadiusz Kuroś, Adam Pieprzycki +1
We derive and describe a very accurate variational scheme for the ground state of the system of a few ultra-cold bosons confined in one-dimensional traps of arbitrary shapes. It is…
Variational ansatz for -wave fermions confined in a one-dimensional harmonic trap
Przemysław Kościk, Tomasz Sowiński
We propose a very accurate and efficient variational scheme for the ground state of the system of -wave attractively interacting fermions confined in a one-dimensional harmonic…
Decay properties of unstable Tonks-Girardeau gases from a split trap
Przemysław Kościk
We study the decay properties of Tonks-Girardeau gases escaping from a double-well potential. Initially, the gases are constrained between two infinite barriers with an on-cent…
Capturing non-exponential dynamics in the presence of two decay channels
Francesco Giacosa, Przemysław Kościk, Tomasz Sowiński
The most unstable quantum states and elementary particles possess more than a single decay channel. At the same time, it is well known that typically the decay law is not simply ex…
Variational approach for interacting ultra-cold atoms in arbitrary one-dimensional confinement
Przemysław Kościk, Marcin Płodzień, Tomasz Sowiński
Standard analytical construction of the many-body wave function of interacting particles in one dimension, beyond mean-field theory, is based on the Jastrow approach. The many-body…