Floquet-induced bosonic pair condensate with unconventional symmetry

TL;DR

This paper introduces a Floquet-driven mechanism for bosonic pairing with unconventional symmetry, revealing a novel $s+id$ wave condensate through numerical simulations and discussing potential experimental realizations.

Contribution

It proposes a new dynamical pairing mechanism via Floquet engineering in a bosonic system, leading to an unconventional $s+id$ wave condensate, distinct from traditional pair interactions.

Findings

Revealed a bosonic pair condensate with $s+id$ wave symmetry.

Single-particle Bose-Einstein condensate is fully depleted.

Discussed experimental implementation on superconducting circuits.

Abstract

In this study, we propose a dynamical pairing mechanism other than the pair-wise interactions. Starting from a two-dimensional hard-core boson model with periodically modulated hopping amplitude, we derive an effective Floquet Hamiltonian with three-site interactions that are responsible for unconventional pairing between adjacent bosons. By performing a density matrix renormalization group study on this three-site interacting Hamiltonian, we reveal a bosonic pair condensate with $s+id$ wave symmetry, while the single-particle Bose-Einstein condensate is completely depleted. The experimental implementations of the proposed model on superconducting quantum circuit have also been discussed.