Berge Englert Group
We are investigating questions that can be grouped into two categories: (1) quantum information proper and (2) cold atoms.
A central theme is the perennial question: What can we know about a quantum system? Specific problems under study concern complementarity and its immediate consequences, such as quantitative aspects of wave-particle duality; measurement schemes for quantum state tomography; the reconstructing of quantum states from noisy and incomplete measurements; as well as the robust encoding of quantum information for the purposes of storage and processing.
We are interested in ultracold dilute gases of neutral atoms, fermions and bosons, in two-dimensional and one-dimensional geometries, which will soon be ready for experimental studies at CQT and elsewhere. The problems under study include the band structure, transport properties, and finite-temperature effects of many-atom systems in periodic lattices, such as the graphene-type honeycomb lattice; strongly interacting systems of this kind; mixtures of fermions and bosons; existence and phenomenology of the FFLO phase in one- dimensional and two-dimensional systems; superfluidity and other phases with particular properties; and analogs of the Hall and spin-Hall effects.
Group Members
- Berge EnglertCQT Distinguished Fellow
- Martin-Isbjorn TrappeSenior Research Fellow
- Todd Lu YipingPostdoctoral Fellow (Yale-NUS College)
Recent papers
- Piotr T. Grochowski, M. Trappe, Tomasz Karpiuk, Kazimierz Rzążewski. (2024). Phase separation of a repulsive two-component Fermi gas at the two- to three-dimensional crossover. Phys. Rev. A 110 023325
- M. Trappe, J.H. Hue, Jonah Huang Zi Chao, M. Paraniak, Djamila Hiller, Jerzy Cioslowski, B.-G. Englert. (2023). Single-particle-exact density functional theory. Ann. Phys. 459 169497
- M. Trappe, William C. Witt, Sergei Manzhos. (2023). Atoms, dimers, and nanoparticles from orbital-free density-potential functional theory. Phys. Rev. A 108 062802
- B.-G. Englert, J.H. Hue, Zi Chao Huang, M. Paraniak, M. Trappe. (2023). Energy functionals of single-particle densities: A unified view. Density Functionals for Many-Particle Systems: Mathematical Theory and Physical Applications of Effective Equations (World Scientific) 287-308
- M. Trappe, Ryan A. Chisholm. (2023). A density functional theory for ecology across scales. Nature Communications 14 1089
- M. Trappe, J.H. Hue, B.-G. Englert. (2023). Density-potential functional theory for fermions in one dimension. Density Functionals for Many-Particle Systems: Mathematical Theory and Physical Applications of Effective Equations (World Scientific) 251-267
- S.M. Chan, B. Gremaud, G. Batrouni. (2022). Designer Flat Bands: Topology and Enhancement of Superconductivity. Phys. Rev. B 106 104514
