Chiral d-wave superfluid in periodically driven lattices

Abstract

Chiral d-wave superfluid is a preliminary example of topological matters that intrinsically encodes interaction effects. It exhibits fascinating properties including a finite Chern number in the bulk and topologically protected edge states, which have been invoking physicists for decades. However, unlike s-wave superfluids prevalent in nature, its existence requires a strong interaction in the d-wave channel, a criterion that is difficult to access in ordinary systems. So far, such an unconventional superfluid has not been discovered in experiments. Here, we present a new principle for creating a two-dimensional chiral d-wave superfluid using periodically driven lattices. Due to an imprinted two-dimensional pseudospin-orbit coupling, where the sublattice index serves as the pseudospin, s-wave interaction between two hyperfine spin states naturally creates a chiral d-wave superfluid. This scheme also allows physicists to study the phase transition between the topologically distinct s- and d-wave superfluids by controlling the driving field or the particle density.

10pages, 7figures

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• Optically induced topological superconductivity via Floquet interaction engineering
• Boundary central charge from bulk odd viscosity - chiral superfluids
• Weyl points and topological nodal superfluids in a face-centered cubic optical lattice
• Theory of interacting fermions in shaken square optical lattice
• Multiorder topological superfluid phase transitions in a two-dimensional optical superlattice
• Effective Hamiltonian with tunable mixed pairing in driven optical lattices
• Floquet engineering triplet superconductivity in superconductors with spin-orbit coupling or altermagnetism
• Tunable boson-assisted finite-range interaction and engineering Majorana corner modes in optical lattices
• Single atom edge-like states via quantum interference
• Selective population of a large-angular-momentum state in an optical lattice
• Dynamical instability towards finite-momentum pairing in quenched BCS superconducting phases
• Second-order topological insulator in periodically driven lattice
• Odd-parity topological superfluidity for fermions in a bond-centered square optical lattice
• Topological orbital superfluid with chiral d-wave order in a rotating optical lattice
• Geometric and computational aspects of chiral topological quantum matter
• Time-dependent Gutzwiller simulation of Floquet topological superconductivity