Fundamental role of nonlocal orders in 1D Extended Bose-Hubbard Model
arXiv:2405.03336 · doi:10.1063/5.0206798
Abstract
Nonlocal order parameters capture the presence of correlated fluctuations between specific degrees of freedom, in otherwise disordered quantum matter. Here we provide a further example of their fundamental role, deriving the ground state phase diagram of the filling one extended Bose Hubbard model exclusively in terms of their ordering. By means of a density matrix renormalization group numerical analysis, we show that besides the (even) parity order characteristic of the Mott insulating phase, and the string order non vanishing in the Haldane insulator, the recently proposed odd parity order completes the picture, becoming nonvanishing at the transition from the normal superfluid to the paired superfluid phase. The above three nonlocal parameters capture all the distinct phases, including the density wave phase which local order is seen as the simultaneous presence of correlated fluctuations in different channels. They provide a unique tool for the experimental observation of the full phase diagram of strongly correlated quantum matter, by means of local density measurements.
References in corpus (27)
- The density-matrix renormalization group in the age of matrix product states
- The density-matrix renormalization group
- Efficient classical simulation of slightly entangled quantum computations
- Thermodynamic limit of the density matrix renormalization for the spin-1 Heisenberg chain
- Tensor-Entanglement-Filtering Renormalization Approach and Symmetry Protected Topological Order
- The one-dimensional Bose-Hubbard Model with nearest-neighbor interaction
- Observation of Correlated Particle-Hole Pairs and String Order in Low-Dimensional Mott Insulators
- Hidden order in 1D Bose insulators
- Rise and fall of hidden string order of lattice bosons
- Bond-order-wave phase and quantum phase transitions in the one-dimensional extended Hubbard model
- Equivalence of the Variational Matrix Product Method and the Density Matrix Renormalization Group applied to Spin Chains
- Phase diagram of the extended Bose Hubbard model
- Infinite size density matrix renormalization group, revisited
- Disorder Operators and their Descendants
- Spectral and Entanglement Properties of the Bosonic Haldane Insulator
- Symmetry protected topological phases of 1D interacting fermions with spin-charge separation
- How Hidden Orders Generate Gaps in 1D Fermionic Systems
- Non-local order parameters for the 1D Hubbard model
- Homogeneous and inhomogeneous magnetic phases of constrained dipolar bosons
- Observation of brane parity order in programmable optical lattices
- Polar bosons in one-dimensional disordered optical lattices
- Non local parity order in the two-dimensional Mott insulator
- Brane parity orders in the insulating state of Hubbard ladders
- Interaction induced fractionalization and topological superconductivity in the polar molecules anisotropic model
- Homogeneous and domain wall topological Haldane conductors with dressed Rydberg atoms
- Superconductivity in the Hubbard model: a hidden-order diagnostics from the Luther-Emery phase on ladders
- Measuring Non-local Brane Order with Error-corrected Parity Snapshots