Characterization of Bose-Hubbard Models with Quantum Non-demolition Measurements
arXiv:1408.2533 · doi:10.1103/PhysRevA.90.043618
Abstract
We propose a scheme for the detection of quantum phase transitions in the 1D Bose-Hubbard (BH) and 1D Extended Bose-Hubbard (EBH) models, using the non-demolition measurement technique of quantum polarization spectroscopy. We use collective measurements of the effective total angular momentum of a particular spatial mode to characterise the Mott insulator to superfluid phase transition in the BH model, and the transition to a density wave state in the EBH model. We extend the application of collective measurements to the ground states at various deformations of a super-lattice potential.
arXiv comment8 pages, 9 figures; published version in PRA, Editors' Suggestion
References in corpus (40)
- Many-Body Physics with Ultracold Gases
- Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms
- Cold bosonic atoms in optical lattices
- The density-matrix renormalization group
- Single-Atom Resolved Fluorescence Imaging of an Atomic Mott Insulator
- Bose-Einstein condensation of chromium
- Quantum teleportation between light and matter
- Experimental demonstration of quantum memory for light
- Probing the Superfluid to Mott Insulator Transition at the Single Atom Level
- 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
- Creation of a molecular condensate by dynamically melting a Mott-insulator
- Phase Diagram of Bosonic Atoms in Two-Color Superlattices
- Atomic quantum simulator for lattice gauge theories and ring exchange models
- Probing quantum phases of ultracold atoms in optical lattices by transmission spectra in cavity QED
- Phase diagram of the extended Bose Hubbard model
- Dynamic properties of the one-dimensional Bose-Hubbard model
- Detecting antiferromagnetism of atoms in an optical lattice via optical Bragg scattering
- REVIEW. Quantum optics with ultracold quantum gases: towards the full quantum regime of the light-matter interaction
- Phase Diagram for Ultracold Bosons in Optical Lattices and Superlattices
- Scaling of the gap, fidelity susceptibility, and Bloch oscillations across the superfluid to Mott insulator transition in the one-dimensional Bose-Hubbard model
- Exact Study of the 1D Boson Hubbard Model with a Superlattice Potential
- Multimode entanglement of light and atomic ensembles via off-resonant coherent forward scattering
- Density Matrix Renormalization Group for Dummies
- Light scattering from ultracold atoms in optical lattices as an optical probe of quantum statistics
- Fractional-filling loophole insulator domains for ultracold bosons in optical superlattices
- Competing Supersolid and Haldane Insulator phases in the extended one-dimensional bosonic Hubbard model
- Real-time control of the periodicity of a standing wave: an optical accordion
- Quantum polarization spectroscopy of ultracold spinor gases
- Quantum polarization spectroscopy of correlations in attractive fermionic gases
- Superfluid to Mott-insulator transition of hardcore bosons in a superlattice
- Quantum control of spin-correlations in ultracold lattice gases
- Magnetism, coherent many-particle dynamics, and relaxation with ultracold bosons in optical superlattices
- Probing magnetic order in ultracold lattice gases
- Quantum Phases of Ultracold Bosonic Atoms in a One Dimensional Optical Superlattice
- Non-adiabatic many-atom quantum state control in few-well systems
- Single- and two-qubit quantum gates using superimposed optical lattice potentials
- Detection of entanglement in ultracold lattice gases
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- Probing and Manipulating Fermionic and Bosonic Quantum Gases with Quantum Light
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