All-order momentum correlations of three ultracold bosonic atoms confined in triple-well traps: Signatures of emergent many-body quantum phase transitions and analogies with three-photon quantum-optics interference
arXiv:2002.00311 · doi:10.1103/PhysRevA.101.063614
Abstract
All-order momentum correlation functions associated with the time-of-flight spectroscopy of three spinless ultracold bosonic interacting neutral atoms confined in a linear three-well optical trap are presented. The underlying Hamiltonian employed for the interacting atoms is an augmented three-site Hubbard model. Our investigations target matter-wave interference of massive particles, aiming at the establishment of experimental protocols for characterizing the quantum states of trapped attractively or repulsively interacting ultracold particles, with variable interaction strength. The manifested advantages and deep physical insights that can be gained through the employment of the results of our study for a comprehensive understanding of the nature of the quantum states of interacting many-particle systems, via analysis of the all-order (that is 1st, 2nd and 3rd) momentum correlation functions for three bosonic atoms in a three well confinement, are illustrated and discussed in the context of time-of-flight inteferometric interrogations of the interaction-strength-induced emergent quantum phase transition from the Mott insulating phase to the superfluid one. Furthermore, we discuss that our inteferometric interrogations establish strong analogies with the quantum-optics interference of three photons, including the aspects of genuine three-photon interference, which are focal to explorations targeting the development and implementation of quantum information applications and quantum computing.
arXiv commentAccepted for publication in Physical Review A. Extensive clarifications and explanations added. 34 pages, 14 color figures. For similar papers, see http://www.prism.gatech.edu/~ph274cy/
References in corpus (58)
- Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms
- Three qubits can be entangled in two inequivalent ways
- Correlated Electrons in High Temperature Superconductors
- Observation of three-photon Greenberger-Horne-Zeilinger entanglement
- Coherence and Indistinguishability of Single Electrons Emitted by Independent Sources
- Quantum Beat of Two Single Photons
- On solving quantum many-body problems by experiment
- Two Fermions in a double well: Exploring a fundamental building block of the Hubbard model
- Hong-Ou-Mandel atom interferometry in tunnel-coupled optical tweezers
- On the experimental verification of quantum complexity in linear optics
- An atomic Hong-Ou-Mandel experiment
- Phase coherence of an atomic Mott insulator
- Three-photon bosonic coalescence in an integrated tritter
- Mott insulator to superfluid transition in the Bose-Hubbard model: a strong-coupling approach
- Distinguishability and many-particle interference
- Interference pattern and visibility of a Mott insulator
- Experimental Characterization of Two-Particle Entanglement through Position and Momentum Correlations
- Single atom detection in ultracold quantum gases: a review of current progress
- Interference of Identical Particles from Entanglement to Boson-Sampling
- Observation of genuine three-photon interference
- Strong-coupling expansion for the momentum distribution of the Bose Hubbard model with benchmarking against exact numerical results
- Ideal n-body correlations with massive particles
- Multiboson Correlation Interferometry with arbitrary single-photon pure states
- Spectral Correlation Measurements at the Hong-Ou-Mandel Interference Dip
- Electron and hole Hong-Ou-Mandel interferometry
- Spectrally resolved Hong-Ou-Mandel interference between independent sources
- Quantum correlations and spatial localization in one-dimensional ultracold bosonic mixtures
- SNEG - Mathematica package for symbolic calculations with second-quantization-operator expressions
- Theory for a Hanbury Brown Twiss experiment with a ballistically expanding cloud of cold atoms
- Cold bosons in optical lattices: a tutorial for Exact Diagonalization
- From the Physics to the Computational Complexity of Multiboson Correlation Interference
- Solving the quantum many-body problem via correlations measured with a momentum microscope
- Interference of Temporally Distinguishable Photons Using Frequency-Resolved Detection
- Time-resolved boson sampling with photons of different colors
- Few strongly interacting ultracold fermions in one-dimensional traps of different shapes
- Fragmented condensation in Bose-Hubbard trimers with tunable tunnelling
- High-Contrast Interference of Ultracold Fermions
- Universality of nucleon-nucleon short-range correlations: two-nucleon momentum distributions in few-body systems
- Single-atom-resolved probing of lattice gases in momentum space
- Finite-temperature effects on the number fluctuation of ultracold atoms across the Superfluid to Mott-insulator transition
- Double-well ultracold-fermions computational microscopy: Wave-function anatomy of attractive-pairing and Wigner-molecule entanglement and natural orbitals
- Momentum-space atom correlations in a Mott insulator
- The Hong-Ou-Mandel effect with atoms
- Multicomponent Strongly Interacting Few-Fermion Systems in One Dimension
- Ultracold few fermionic atoms in needle-shaped double wells: spin chains and resonating spin clusters from microscopic Hamiltonians emulated via antiferromagnetic Heisenberg and t-J models
- Artificial quantum-dot Helium molecules: Electronic spectra, spin structures, and Heisenberg clusters
- Characterizing twin-particle entanglement in double-well potentials
- Symmetries and entanglement features of inner-mode resolved correlations of interfering nonidentical photons
- Quench Dynamics of Finite Bosonic Ensembles in Optical Lattices with Spatially Modulated Interactions
- Complete three photon Hong-Ou-Mandel interference at a three port device
- Signatures of Many-Particle Interference
- Effective Field Theory of Emergent Symmetry Breaking in Deformed Atomic Nuclei
- Interatomic interaction effects on second-order momentum correlations and Hong-Ou-Mandel interference of double-well-trapped ultracold fermionic atoms
- Two-point momentum correlations of few ultracold quasi-one-dimensional trapped fermions: Diffraction patterns
- Finite Temperature Phase Transition in a Cross-Dimensional Triangular Lattice
- Interference, spectral momentum correlations, entanglement, and Bell inequality for a trapped interacting ultracold atomic dimer: Analogies with biphoton interferometry
- Anyon optics with time-of-flight two-particle interference of double-well-trapped interacting ultracold atoms
- Third-order momentum correlation interferometry maps for entangled quantal states of three singly trapped massive ultracold fermions