Quantum Magnetism with Multicomponent Dipolar Molecules in an Optical Lattice

Abstract

We consider bosonic dipolar molecules in an optical lattice prepared in a mixture of different rotational states. The 1/r 3 interaction between molecules for this system is produced by exchanging a quantum of angular momentum between two molecules. We show that the Mott states of such systems have a large variety of quantum phases characterized by dipolar orderings including a state with ordering wave vector that can be changed by tilting the lattice. As the Mott insulating phase is melted, we also describe several exotic superfluid phases that will occur.

d-wave superfluidity in optical lattices of ultracold polar molecules

“…Using the inverse gap at B(τ ) = 0 in Eqs. (16) and (17) gives 400 μs as a rough estimate for the minimum time necessary to prepare the |2 and |4 ground states. Thus, as expected, the preparation time is dominated by the preparation of the ground state of the XX chain.…”

“…This system can be used to implement lattice Hamiltonians based on rotational states of polar molecules [16][17][18][19][20][21][22][23][24][25][26][27][28][29][30][31][32]. Specifically, two rotational states of the molecules can be used as an effective spin-1/2 degree of freedom, while dipole-dipole interactions mediate "spin"-dependent coupling between molecules.…”

Interspecies thermalization in an ultracold mixture of Cs and Yb in an optical trap

“…These ultracold molecules have a wealth of applications, such as tests of fundamental physics [27][28][29], realization of novel phase transitions [30][31][32], and the study of ultracold chemistry [33,34]. In addition, the long-range dipole-dipole interactions present between pairs of polar molecules make them useful in the study of dipolar quantum matter [35,36] and ultracold molecules confined in an optical lattice can simulate a variety of condensedmatter systems [37][38][39].…”

“…These ultracold molecules have a wealth of applications, such as tests of fundamental physics [27][28][29], realization of novel phase transitions [30][31][32], and the study of ultracold chemistry [33,34]. In addition, the long-range dipole-dipole interactions present between pairs of polar molecules make them useful in the study of dipolar quantum matter [35,36] and ultracold molecules confined in an optical lattice can simulate a variety of condensedmatter systems [37][38][39].Although the large majority of work on ultracold molecules has focused on bi-alkali systems, there is burgeoning interest in pairing alkali-metal atoms with divalent atoms such as Yb [40][41][42][43][44][45] or Sr [46]. The heteronuclear 2 Σ molecules formed in these systems have both an electric and a magnetic dipole moment in the ground electronic state.…”

New frontiers for quantum gases of polar molecules

“…Turning off the chemical reactions in KRb in the 3D lattice made it possible to observe the long-range nature of the dipole-dipole interaction between molecules pinned in a deep optical lattice where tunneling, and thus both elastic and inelastic contact interactions, are absent. Polar molecules can be used to study quantum magnetism where an interacting spin-1/2 Hamiltonian can be constructed based on the use of two opposite-parity rotational states [75,76]. Specifically, the experiments of Refs.…”