Bhuvanesh Sundar

Lattice bosons with infinite-range checkerboard interactions

Motivated by experiments performed by Landig et al. [Nature (London) 532, 476 (2016)], we consider a two-dimensional Bose gas in an optical lattice, trapped inside a single mode superradiant Fabry-Perot cavity. The cavity mediates infinite-range checkerboard interactions between the atoms, which produces competition between Mott insulator, charge-density wave, superfluid, and supersolid phases. We calculate the phase diagram of this Bose gas in a homogeneous system and in the presence of a harmonic trap.

Synthetic dimensions in ultracold polar molecules

Synthetic dimensions alter one of the most fundamental properties in nature, the dimension of space. They allow, for example, a real three-dimensional system to act as effectively four-dimensional. Driven by such possibilities, synthetic dimensions have been engineered in ongoing experiments with ultracold matter. We show that rotational states of ultracold molecules can be used as synthetic dimensions extending to many – potentially hundreds of – synthetic lattice sites. Microwaves coupling rotational states drive fully controllable synthetic inter-site tunnelings, enabling, for example, topological band structures. Interactions leads to even richer behavior: when molecules are frozen in a real space lattice with uniform synthetic tunnelings, dipole interactions cause the molecules to aggregate to a narrow strip in the synthetic direction beyond a critical interaction strength, resulting in a quantum string or a membrane, with an emergent condensate that lives on this string or membrane. All these phases can be detected using local measurements of rotational state populations.

Proposal to directly observe the Kondo effect through enhanced photo-induced scattering of cold fermionic and bosonic atoms BHU-

We propose an experimental protocol to directly observe the Kondo effect by scattering ultracold atoms with spin-dependent interactions. We propose using an optical Feshbach resonance to engineer Kondo-type spin-dependent interactions in a system with ultracold

Universal quantum computation with Majorana fermion edge modes through microwave spectroscopy of quasi-one-dimensional cold gases in optical lattices

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Comparing continuous and discrete Wigner approximations for spin dynamics

Li and

Synthetic dimensions in ultracold polar molecules: From topology to quantum strings

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Quantum dynamics from a numerical linked cluster expansion

Rb gases. We calculate the momentum transferred from the

Quantum dimer models emerging from large-spin ultracold atoms

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Quantum dimer models emerging in ultracold Mott insulating Bose gases with a large spin

Rb gas to the

Engineering quantum dimer models via large-spin Mott insulating ultracold bosons

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