198 citations · 469 across the 10 of their papers we have counts for
10 papers
Cooper pair polaritons in cold fermionic atoms within a cavity
Amaury Dodel, Alexander Pikovski, Igor Ermakov +4
We formulate a Bardeen-Cooper-Schriffer (BCS) theory of quasiparticles in a degenerate Fermi gas strongly coupled to photons in a optical cavity. The elementary photonic excitation…
Comparing energy levels in isotropic and anisotropic potentials
Alexander Pikovski
Qualitative information about the quantized energy levels of a system can be of great value. We study the relationship between the bound-state energies of an anisotropic potential…
Dynamics of correlations in two-dimensional quantum spin models with long-range interactions: A phase-space Monte-Carlo study
Johannes Schachenmayer, Alexander Pikovski, Ana Maria Rey
Interacting quantum spin models are remarkably useful for describing different types of physical, chemical, and biological systems. Significant understanding of their equilibrium p…
A differentiation formula, with application to the two-dimensional Schrödinger equation
Alexander Pikovski
A method for obtaining discretization formulas for the derivatives of a function is presented, which relies on a generalization of divided differences. These modified divided diffe…
Many-Body Quantum Spin Dynamics with Monte Carlo Trajectories on a Discrete Phase Space
Johannes Schachenmayer, Alexander Pikovski, Ana Maria Rey
Interacting spin systems are of fundamental relevance in different areas of physics, as well as in quantum information science, and biology. These spin models represent the simples…
On cold gases with anisotropic interactions
Alexander Pikovski
A cold gas of particles with anisotropic interactions of general form, due to a polarizing field, is studied. Special cases are atoms or molecules with dipole-dipole or quadrupole-…
Averaged collision and reaction rates in a two-species gas of ultracold fermions
Alexander Pikovski
Reactive or elastic two-body collisions in an ultracold gas are affected by quantum statistics. In this paper, we study ensemble-averaged collision rates for a two-species fermioni…
Non-local state-swapping of polar molecules in bilayers
A. Pikovski, M. Klawunn, A. Recati +1
The observation of significant dipolar effects in gases of ultra-cold polar molecules typically demands a strong external electric field to polarize the molecules. We show that eve…
Interlayer superfluidity in bilayer systems of fermionic polar molecules
A. Pikovski, M. Klawunn, G. V. Shlyapnikov +1
We consider fermionic polar molecules in a bilayer geometry where they are oriented perpendicularly to the layers, which permits both low inelastic losses and superfluid pairing. T…
Two-dimensional scattering and bound states of polar molecules in bilayers
Michael Klawunn, Alexander Pikovski, Luis Santos
Low-energy two-dimensional scattering is particularly sensitive to the existence and properties of weakly-bound states. We show that interaction potentials with vanishing ze…