A novel chiral interferometer is proposed that allows for a direct measurement of the phase of the transmission coefficient for transport through a variety of mesoscopic structures in a strong magnetic field. The effects of electron-electron interaction on this phase are investigated with the use of finite-size bosonization techniques combined with perturbation theory resummation. New non-Fermi-liquid phenomena are predicted in the fractional quantum Hall effect regime that may be used to distinguish experimentally between Luttinger and Fermi liquids.A novel chiral interferometer is proposed that allows for a direct measurement of the phase of the transmission coefficient for transport through a variety of mesoscopic structures in a strong magnetic field. The effects of electron-electron interaction on this phase are investigated with the use of finite-size bosonization techniques combined with perturbation theory resummation. New non-Fermi-liquid phenomena are predicted in the fractional quantum Hall effect regime that may be used to distinguish experimentally between Luttinger and Fermi liquids.

arXiv:cond-mat/9804250Physical Review LettersJun 15, 19984 citations

Beyond-mean-field phases of rotating dipolar condensates in the strongly correlated regime

Paolo Molignini

Rotating dipolar Bose-Einstein condensates exhibit rich physics due to the interplay of long-range interactions and rotation, leading to unconventional vortex structures and strongly correlated phases. While most studies rely on mean-field approaches, these fail to capture quantum correlations that become significant at high rotation speeds and strong interactions. In this study, we go beyond the mean-field description by employing a numerically exact multiconfigurational approach to study finite-sized dipolar condensates. We reveal novel vortex structures, rotating cluster states, and strong fragmentation effects, demonstrating that beyond-mean-field correlations remain prominent even in larger systems. By quantifying deviations from mean-field theory, we provide a predictive framework for analyzing experiments and exploring emergent quantum phases, with implications for both the fundamental theory of ultracold gases and the quantum simulation of correlated superfluid systems like in neutron stars.Rotating dipolar Bose-Einstein condensates exhibit rich physics due to the interplay of long-range interactions and rotation, leading to unconventional vortex structures and strongly correlated phases. While most studies rely on mean-field approaches, these fail to capture quantum correlations that become significant at high rotation speeds and strong interactions. In this study, we go beyond the mean-field description by employing a numerically exact multiconfigurational approach to study finite-sized dipolar condensates. We reveal novel vortex structures, rotating cluster states, and strong fragmentation effects, demonstrating that beyond-mean-field correlations remain prominent even in larger systems. By quantifying deviations from mean-field theory, we provide a predictive framework for analyzing experiments and exploring emergent quantum phases, with implications for both the fundamental theory of ultracold gases and the quantum simulation of correlated superfluid systems like in neutron stars.

arXiv:2503.04890Journal of Physics Condensed MatterOct 6, 20252 citations

Finite size effects at phase transitions

Kurt Binder

Springer eBooksApr 6, 2008116 citations

Dynamical structure factor in disordered model of interacting fermions

Peter Prelovšek, J. Herbrych

The behavior of the dynamical structure factor $S(q,\omega)$ is studied numerically in the whole range of wavevectors $q$ within the prototype one-dimensional model of many-body localization (MBL). Extracted effective dynamical conductivities and current-relaxation rates confirm strong dependence on disorder but modest variation with $q$ . An analytical self-consistent approximation based on the perturbation theory is shown to qualitatively account for the nontrivial features of dynamical quantities at all $q$ : the emergence of the maximum in dynamical conductivities, nonanalytical low-- $\omega$ variation in the ergodic phase, and the transition to the nonergodic (MBL) phase. Finite-size scaling also reveals the possibility of the subdiffusive behavior in the ergodic regime.The behavior of the dynamical structure factor $S(q,\omega)$ is studied numerically in the whole range of wavevectors $q$ within the prototype one-dimensional model of many-body localization (MBL). Extracted effective dynamical conductivities and current-relaxation rates confirm strong dependence on disorder but modest variation with $q$. An analytical self-consistent approximation based on the perturbation theory is shown to qualitatively account for the nontrivial features of dynamical quantities at all $q$: the emergence of the maximum in dynamical conductivities, nonanalytical low--$\omega$ variation in the ergodic phase, and the transition to the nonergodic (MBL) phase. Finite-size scaling also reveals the possibility of the subdiffusive behavior in the ergodic regime.

Sep 18, 20160 citations

The behavior of the dynamical structure factor

S(q,\omega)

is studied numerically in the whole range of wavevectors

q

within the prototype one-dimensional model of many-body localization (MBL). Extracted effective dynamical conductivities and current-relaxation rates confirm strong dependence on disorder but modest variation with

q

. An analytical self-consistent approximation based on the perturbation theory is shown to qualitatively account for the nontrivial features of dynamical quantities at all

q

: the emergence of the maximum in dynamical conductivities, nonanalytical low--

\omega

variation in the ergodic phase, and the transition to the nonergodic (MBL) phase. Finite-size scaling also reveals the possibility of the subdiffusive behavior in the ergodic regime.