Searcharxiv⌕ Search

arXiv subjects

Wojciech Górecki

Publications and source records attributed to Wojciech Górecki.

22 records · Page 2Linked to original sources

Many-body soliton-like states of the bosonic ideal gas

We study the lowest energy states for fixed total momentum, i.e. yrast states, of $N$ bosons moving on a ring. As in the paper of A. Syrwid and K. Sacha \cite{syrwid2015} , we compare mean field solitons with the yrast states, being the many-body Lieb-Liniger eigenstates. We show that even in the limit of vanishing interaction the yrast states possess features typical for solitons, like the phase jumps and the density notches. These properties are simply effects of the bosonic symmetrization and are encoded in the Dicke states hidden in the yrast states.

quant-ph↗

Electric dipoles vs. magnetic dipoles - for two molecules in a harmonic trap

We study energy levels of two heteronuclear molecules moving in a spherically symmetric harmonic trap. A role of electric dipole interactions is compared and contrasted with our earlier results (https://arxiv.org/abs/1512.00631) for two magnetic dipolar atoms. We stress importance of a rotational energy with its value which is very high compared to the energy of dipolar interaction. We show that dipolar forces do not play a significant role in the ground state of the system under typical experimental conditions. However, there exist excited states that exhibit anticrossings similar to the ones observed for magnetic dipoles.

cond-mat.quant-gas↗

Making two dysprosium atoms rotate - Einstein-de Haas effect revisited

We present a numerical study of the behaviour of two magnetic dipolar atoms trapped in a harmonic potential and exhibiting the standard Einstein-de Haas effect while subject to a time dependent homogeneous magnetic field. Using a simplified description of the short range interaction and the full expression for the dipole-dipole forces we show, that under experimentally realisable conditions two dysprosium atoms may be pumped to a high ($l>20$) value of the relative orbital angular momentum.

cond-mat.quant-gas↗

Two dipolar atoms in a harmonic trap

Two identical dipolar atoms moving in a harmonic trap without an external magnetic field are investigated. Using the algebra of angular momentum a semi - analytical solutions are found. We show that the internal spin - spin interactions between the atoms couple to the orbital angular momentum causing an analogue of Einstein - de Haas effect. We show a possibility of adiabatically pumping our system from the s-wave to the d-wave relative motion. The effective spin-orbit coupling occurs at anti-crossings of the energy levels.

cond-mat.quant-gas↗