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 …

All you need is spin: SU (2) equivariant variational quantum circuits based on spin networks

RDP East, G Alonso-Linaje, CY Park - arXiv preprint arXiv:2309.07250, 2023 - arxiv.org
Variational algorithms require architectures that naturally constrain the optimisation space to
run efficiently. In geometric quantum machine learning, one achieves this by encoding group …

Measuring nonlocal brane order with error-corrected quantum gas microscopes

J Hur, W Lee, K Kwon, SJ Huh, GY Cho, J Choi - Physical Review X, 2024 - APS
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 …

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 …

symmetry-protected topological phases in the SU(3) AKLT model

T Morimoto, H Ueda, T Momoi, A Furusaki - Physical Review B, 2014 - APS
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 …

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 …

Density matrix renormalization group simulations of SU() Heisenberg chains using standard Young tableaus: Fundamental representation and comparison with a …

P Nataf, F Mila - Physical Review B, 2018 - APS
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 …

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 …

[HTML][HTML] Generalization of the Haldane conjecture to SU (n) chains

K Wamer, M Lajkó, F Mila, I Affleck - Nuclear Physics B, 2020 - Elsevier
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 …

Symmetry-protected topological states for interacting fermions in alkaline-earth-like atoms

X Zhou, JS Pan, ZX Liu, W Zhang, W Yi, G Chen, S Jia - Physical review letters, 2017 - APS
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 …