I am a theoretical condensed matter physicist. In my research work I have been studying effects of SU(M) invariant interactions on synthetic dimension (SD) system. The idea of SD is to use internal states of atoms moving in a 1d optical lattice, to realize a hopping Hamiltonian equivalent to the Hofstadter model on a square lattice strip. The system is equivalent to particles (with SU(M) symmetric interactions) experiencing an SU(M) Zeeman field at each lattice site and a non-Abelian SU(M) gauge potential that affects their hopping. For M particles, concomitantly, the SU(M) singlet baryon which is site localized in the usual 1d optical lattice, is deformed to a non-local object dubbed as “squished baryon” due to non-local interactions between particles at different sites. In addition to this problem I have been also working on instability of d-wave superfluid in some "mean field" versions of t-J model for cuprates. Further, I am working on various extensions of the Falicov-Kimball model (FKM) on some two dimensional lattices with and without magnetic field.
Recent Publications:
1. Crucial role of Internal Collective Modes in Underdoped Cuprates, Aabhaas V. Mallik, Umesh K. Yadav, Amal Medhi, H. R. Krishnamurthy and Vijay B. Shenoy, EPL (Europhysics Letters) 119 (2), 27004 (2017). [arXiv:1603.09547]
2. Unconventional phases of attractive Fermi gases in synthetic Hall ribbons, Sudeep Kumar Ghosh, Sebastian Greschner, Umesh K. Yadav, Tapan Mishra, Matteo Rizzi, and Vijay B. Shenoy, Phys. Rev. A 95, 063612 (2017). [arXiv:1610.00281]
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3. Orbital Magnetic Field Driven Metal-Insulator Transition in Spinless Extended Falicov-Kimball Model on A Triangular Lattice, Umesh K. Yadav, Solid State Communications 249, 12 (2017). [arXiv:1607.05240]
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4. Synthetic-gauge-field-induced resonances and Fulde-Ferrell-Larkin-Ovchinnikov states in a one-dimensional optical lattice, Sudeep Kumar Ghosh and Umesh K. Yadav, Phys. Rev. A 94, 043634 (2016). [arXiv:1610.06074]
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5. The Role of Intra- and Inter-site exchange correlations in the Extended Falicov-Kimball Model on a Triangular Lattice, Sant Kumar, Umesh K. Yadav, T. Maitra and Ishwar Singh, Solid State Communications 228, 1 (2016).
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6. Baryon Squishing in Synthetic Dimensions by Effective SU(M) Gauge Fields, Sudeep Kumar Ghosh, Umesh K. Yadav, and Vijay B. Shenoy, Phys. Rev. A (R) 92, 051602 (2015). [arXiv:1503.02301]