@article{ISI:000404012500011, abstract = {An innovative way to produce quantum Hall ribbons in a cold atomic system is to use M hyperfine states of atoms in a one-dimensional optical lattice to mimic an additional ``synthetic dimension.″ A notable aspect here is that the SU(M) symmetric interaction between atoms manifests as ``infinite ranged″ along the synthetic dimension. We study the many-body physics of fermions with SU(M) symmetric attractive interactions in this system using a combination of analytical field theoretic and numerical density-matrix renormalization-group methods. We uncover the rich ground-state phase diagram of the system, including unconventional phases such as squished baryon fluids, shedding light on many-body physics in low dimensions. Remarkably, changing the parameters entails interesting crossovers and transition; e.g., we show that increasing the magnetic field (that produces the Hall effect) converts a ``ferrometallic″ state at low fields to a ``squished baryon superfluid″ (with algebraic pairing correlations) at high fields. We also show that this system provides a unique opportunity to study quantum phase separation in a multiflavor ultracold fermionic system.}, article-number = {063612}, author = {Ghosh, Sudeep Kumar and Greschner, Sebastian and Yadav, Umesh K. and Mishra, Tapan and Rizzi, Matteo and Shenoy, Vijay B.}, doi = {10.1103/PhysRevA.95.063612}, eissn = {2469-9934}, issn = {2469-9926}, journal = {PHYSICAL REVIEW A}, month = {JUN 19}, number = {6}, orcid-numbers = {Rizzi, Matteo/0000-0002-8283-1005 Yadav, Umesh Kumar/0000-0001-6188-1495 GHOSH, SUSMITA/0000-0002-1691-761X}, researcherid-numbers = {Rizzi, Matteo/B-3879-2010 Yadav, Umesh Kumar/AAO-9389-2020 }, times-cited = {13}, title = {Unconventional phases of attractive Fermi gases in synthetic Hall ribbons}, unique-id = {ISI:000404012500011}, volume = {95}, year = {2017} }