Phases of one-dimensional SU (N) cold atomic Fermi gases—From molecular Luttinger liquids to topological phases
S Capponi, P Lecheminant, K Totsuka - Annals of Physics, 2016 - Elsevier
Alkaline-earth and ytterbium cold atomic gases make it possible to simulate SU (N)-
symmetric fermionic systems in a very controlled fashion. Such a high symmetry is expected …
symmetric fermionic systems in a very controlled fashion. Such a high symmetry is expected …
All you need is spin: SU (2) equivariant variational quantum circuits based on spin networks
Variational algorithms require architectures that naturally constrain the optimisation space to
run efficiently. In geometric quantum machine learning, one achieves this by encoding group …
run efficiently. In geometric quantum machine learning, one achieves this by encoding group …
Measuring nonlocal brane order with error-corrected quantum gas microscopes
Exotic quantum many-body states, such as Haldane and spin liquid phases, can exhibit
remarkable features like fractional excitations and non-Abelian statistics and offer new …
remarkable features like fractional excitations and non-Abelian statistics and offer new …
Symmetry-protected topological phases of alkaline-earth cold fermionic atoms in one dimension
H Nonne, M Moliner, S Capponi… - Europhysics …, 2013 - iopscience.iop.org
We investigate the existence of symmetry-protected topological phases in one-dimensional
alkaline-earth cold fermionic atoms with general half-integer nuclear spin I at halffilling. In …
alkaline-earth cold fermionic atoms with general half-integer nuclear spin I at halffilling. In …
symmetry-protected topological phases in the SU(3) AKLT model
We study Z 3 symmetry-protected topological (SPT) phases in one-dimensional spin
systems with Z 3× Z 3 symmetry. We construct ground-state wave functions of the matrix …
systems with Z 3× Z 3 symmetry. We construct ground-state wave functions of the matrix …
Topological phases of spin chains
K Duivenvoorden, T Quella - Physical Review B—Condensed Matter and …, 2013 - APS
Symmetry-protected topological phases of one-dimensional spin systems have been
classified using group cohomology. In this paper, we revisit this problem for general spin …
classified using group cohomology. In this paper, we revisit this problem for general spin …
Density matrix renormalization group simulations of SU() Heisenberg chains using standard Young tableaus: Fundamental representation and comparison with a …
We develop an efficient method to perform density matrix renormalization group simulations
of the SU (N) Heisenberg chain with open boundary conditions taking full advantage of the …
of the SU (N) Heisenberg chain with open boundary conditions taking full advantage of the …
Ising order parameter and topological phase transitions: Toric code in a uniform magnetic field
MH Zarei - Physical Review B, 2019 - APS
A quantum Ising model in a transverse field is of the simplest quantum many-body systems
used for studying universal properties of quantum phase transitions. Interestingly, it is well …
used for studying universal properties of quantum phase transitions. Interestingly, it is well …
[HTML][HTML] Generalization of the Haldane conjecture to SU (n) chains
Abstract Recently, SU (3) chains in the symmetric and self-conjugate representations have
been studied using field theory techniques. For certain representations, namely rank-p …
been studied using field theory techniques. For certain representations, namely rank-p …
Symmetry-protected topological states for interacting fermions in alkaline-earth-like atoms
We discuss the quantum simulation of symmetry-protected topological (SPT) states for
interacting fermions in quasi-one-dimensional gases of alkaline-earth-like atoms such as Yb …
interacting fermions in quasi-one-dimensional gases of alkaline-earth-like atoms such as Yb …