Searching for a Supersolid in Cold Atom Optical Lattices

Abstract

We suggest a technique for the observation of a predicted supersolid phase in extended Bose-Hubbard models which are potentially realizable in cold atom optical lattice systems. In particular, we discuss important subtleties arising from the existence of the trapping potential which leads to an externally imposed (as opposed to spontaneous) breaking of translational invariance. We show, by carefully including the trapping potential in our theoretical formalism, that noise correlations could prove instrumental in identifying the supersolid and density wave phases. We also find that the noise correlation peak width scales inversely with the relative size of trapped Mott domains.

5 pages, 4 figures

References in corpus (5)

• Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms
• Bose-Einstein condensation of chromium
• Spatial quantum noise interferometry in expanding ultracold atom clouds
• Supersolids versus phase separation in two-dimensional lattice bosons
• Interference of an array of independent Bose-Einstein condensates

Cited by in corpus (27)

• Many-Body Physics with Ultracold Gases
• Ultracold atomic gases in optical lattices: mimicking condensed matter physics and beyond
• Long-lived and transient supersolid behaviors in dipolar quantum gases
• Orbital superfluidity in the $P$-band of a bipartite optical square lattice
• State preparation and dynamics of ultracold atoms in higher lattice orbitals
• Metastable states of a gas of dipolar bosons in a 2D optical lattice
• Supersolid phases in the one dimensional extended soft core Bosonic Hubbard model
• Strongly interacting ultracold polar molecules
• Discerning Incompressible and Compressible Phases of Cold Atoms in Optical Lattices
• Microscopic physics of quantum self-organisation of optical lattices in cavities
• Atoms in a radiofrequency-dressed optical lattice
• Theory of correlations between ultra-cold bosons released from an optical lattice
• Supersolidity of cold-atom Bose-Fermi mixtures in optical lattices
• Successive phase transitions at finite temperatures of the supersolid in the three-dimensional extended Bose-Hubbard model
• Critical properties of a trapped interacting Bose gas
• Supersolids in confined fermions on one-dimensional optical lattices
• Reference data for phase diagrams of triangular and hexagonal bosonic lattices
• Multi-orbital bosons in bipartite optical lattices
• Strong-coupling phases of trions and excitons in electron-hole bilayers at commensurate densities
• Quantum Phases of Two-Component Bosons with Spin-Orbit Coupling in Optical Lattices
• Phases of d-orbital bosons in optical lattices
• Noise correlations of one-dimensional Bose mixtures in optical lattices
• Superfluidity of fermions with repulsive on-site interaction in an anisotropic optical lattice near a Feshbach resonance
• Dipolar Bose-Hubbard Model in finite-size real-space cylindrical lattices
• Unveiling Supersolid Order via Vortex Trajectory Correlations
• ${\mathbb{Z}}_n$ symmetry broken supersolid in spin-orbit-coupled Bose-Einstein condensates
• Coexistence of long-range orders in a Bose-Holstein model