Accuracy of quantum simulators with ultracold dipolar molecules: a quantitative comparison between continuum and lattice descriptions
arXiv:2211.09821 · doi:10.1103/PhysRevA.107.033323
Abstract
With rapid progress in control and manipulation of ultracold magnetic atoms and dipolar molecules, the quantum simulation of lattice models with strongly interacting dipole-dipole interactions (DDI) and high densities is now within experimental reach. This rapid development raises the issue about the validity of quantum simulation in such regimes. In this study, we address this question by performing a full quantitative comparison between the continuum description of a one-dimensional gas of dipolar bosons in an optical lattice, and the single-band Bose-Hubbard lattice model that it quantum simulates. By comparing energies and density distributions, and by calculating direct overlaps between the continuum and lattice many-body wavefunctions, we demonstrate that in regimes of strong DDI and high densities the continuum system fails to recreate the desired lattice model. Two-band Hubbard models become necessary to reduce the discrepancy observed between continuum and lattice descriptions, but appreciable deviations in the density profile still remain. Our study elucidates the role of strong DDI in generating physics beyond lowest-band descriptions and should offer a guideline for the calibration of near-term dipolar quantum simulators.
Fixed typos, added more references
References in corpus (19)
- Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms
- Cold atoms in cavity-generated dynamical optical potentials
- Bose-Einstein Condensation in Magnetic Insulators
- Creation of ultracold RbCs molecules in the rovibrational ground state
- Tools for quantum simulation with ultracold atoms in optical lattices
- QuSpin: a Python Package for Dynamics and Exact Diagonalisation of Quantum Many Body Systems part I: spin chains
- Non-standard Hubbard models in optical lattices: a review
- The multi-configurational time-dependent Hartree method for bosons: Many-body dynamics of bosonic systems
- Hidden order in 1D Bose insulators
- New frontiers with quantum gases of polar molecules
- Role of excited states in the splitting dynamics of interacting Bose-Einstein condensates when ramping-up a barrier
- Dipolar gases in quasi one-dimensional geometries
- General variational many-body theory with complete self-consistency for trapped bosonic systems
- Exact diagonalization: the Bose-Hubbard model as an example
- Competing magnetic orders in a bilayer Hubbard model with ultracold atoms
- Quantum Engineering of a Low-Entropy Gas of Heteronuclear Bosonic Molecules in an Optical Lattice
- Bose-Hubbard model with occupation dependent parameters
- Multi-orbital bosons in bipartite optical lattices
- Twonniers: Interaction-induced effects on Bose-Hubbard parameters
Cited by in corpus (16)
- Lecture Notes: many-body quantum dynamics with MCTDH-X
- Unbounded entropy production and violent fragmentation for repulsive-to-attractive interaction quench in long-range interacting systems
- Realizing multiband states with ultracold dipolar quantum simulators
- Interaction quench of dipolar bosons in a one-dimensional optical lattice
- Condensates Breaking Up Under Rotation
- Stability of quasicrystalline ultracold fermions to dipolar interactions
- Spin Squeezing with Itinerant Dipoles: A Case for Shallow Lattices
- Quantum Simulation of Spin-1 XXZ-Heisenberg Models and the Haldane Phase with Dysprosium
- Assessing small accelerations using a bosonic Josephson junction
- Ground states of one-dimensional dipolar lattice bosons at unit filling
- Stability of dipolar bosons in a quasiperiodic potential
- Rotation quenches in trapped bosonic systems
- Beyond-mean-field phases of rotating dipolar condensates
- One-Dimensional Quench Dynamics in an Optical Lattice: sine-Gordon and Bose-Hubbard Descriptions
- A Kaleidoscope of Topological Structures in Dipolar Bose-Einstein Condensates with Weyl-Like Spin-Orbit Coupling in Anharmonic Trap
- Entropy production and statistical relaxation of dipolar bosons and fermions in interaction quench dynamics