mariuslm

• Liabøtrø, Ola & Meyer, Marius Ladegård (2017). Composite fermion basis for two-component Bose gases. Physical Review A. Atomic, Molecular, and Optical Physics (PRA). ISSN 1050-2947. 95(3). doi: 10.1103/PhysRevA.95.033633. Full text in Research Archive
• Meyer, Marius Ladegård; Liabøtrø, Ola & Viefers, Susanne F (2016). Linear dependencies between composite fermion states. Journal of Physics A: Mathematical and Theoretical. ISSN 1751-8113. 49(39). doi: 10.1088/1751-8113/49/39/395201. Full text in Research Archive
• Meyer, Marius Ladegård; Sreejith, Ganesh Jaya & Viefers, Susanne F (2014). Rotational properties of two-component Bose gases in the lowest Landau level. Physical Review A. Atomic, Molecular, and Optical Physics (PRA). ISSN 1050-2947. 89(4). doi: 10.1103/PhysRevA.89.043625. Full text in Research Archive Show summary

  We study the rotational (yrast) spectra of dilute two-component atomic Bose gases in the low angular momentum regime, assuming equal interspecies and intraspecies interaction. Our analysis employs the composite fermion (CF) approach including a pseudospin degree of freedom. While the CF approach is not a priori expected to work well in this angular momentum regime, we show that composite fermion diagonalization gives remarkably accurate approximations to low-energy states in the spectra. For angular momenta 0<L<M (where N and M denote the numbers of particles of the two species, and M≥N), we find that the CF states span the full Hilbert space and provide a convenient set of basis states which, by construction, are eigenstates of the symmetries of the Hamiltonian. Within this CF basis, we identify a subset of the basis states with the lowest Λ-level kinetic energy. Diagonalization within this significantly smaller subspace constitutes a major computational simplification and provides very close approximations to ground states and a number of low-lying states within each pseudospin and angular momentum channel. © 2014 American Physical Society

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• Meyer, Marius Ladegård; Viefers, Susanne F & Liabøtrø, Ola (2016). Low-energy states in the lowest Landau level for rotating two-component Bose gases. Full text in Research Archive
• Meyer, Marius Ladegård; Viefers, Susanne F & Liabøtrø, Ola (2016). Low-energy states in the lowest Landau level for rotating two-component Bose gases. Full text in Research Archive Show summary

  In a previous work we have shown that one can use the composite fermion (CF) approach to find very good approximations to the lowest energy eigenstates of a rotating dilute two- component atomic Bose gas in the lowest Landau level. In particular, the CF approach surprisingly yields very good results also for low angular momenta, far from the quantum Hall regime. In the low L regime, the number of seemingly distinct candidate wave functions tends to be orders of magnitude larger than the number of linearly independent ones, precluding efficient application of the approach. Here we present a subset of CF wave functions that give good approximations to the ground state and low-lying excited states, and for which we have identified all linear dependence relations. The subset is used to study vortex formation and structure for L <= N1*N2, the product of the number of particles of each species.

• Meyer, Marius Ladegård (2019). Binary Bose gases in synthetic magnetic fields. Det matematisk-naturvitenskapelige fakultet. Full text in Research Archive

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