NOON States via Quantum Walk of Bound Particles
arXiv:1607.01809 · doi:10.1103/PhysRevA.95.012307
Abstract
Tight-binding lattice models allow the creation of bound composite objects which, in the strong-interacting regime, are protected against dissociation. We show that a local impurity in the lattice potential can generate a coherent split of an incoming bound particle wave-packet which consequently produces a NOON state between the endpoints. This is non trivial because when finite lattices are involved, edge-localisation effects make their use for non-classical state generation and information transfer challenging. We derive an effective model to describe the propagation of bound particles in a Bose-Hubbard chain. We introduce local impurities in the lattice potential to inhibit localisation effects and to split the propagating bound particle, thus enabling the generation of distant NOON states. We analyse how minimal engineering transfer schemes improve the transfer fidelity and we quantify the robustness to typical decoherence effects in optical lattice implementations. Our scheme potentially have an impact on quantum-enhanced atomic interferometry in a lattice.
arXiv comment15 pages, 12 figures
References in corpus (66)
- Perfect state transfer in quantum spin networks
- Measuring entanglement entropy through the interference of quantum many-body twins
- Nonlinear atom interferometer surpasses classical precision limit
- Quantum Optical Metrology -- The Lowdown on High-N00N States
- Observation of chiral edge states with neutral fermions in synthetic Hall ribbons
- Single-Spin Addressing in an Atomic Mott Insulator
- Spin-lattice coupling in frustrated antiferromagnets
- Synthetic gauge fields in synthetic dimensions
- Direct Observation of Second Order Atom Tunnelling
- Quantum dynamics of a single, mobile spin impurity
- A Quantum Rosetta Stone for Interferometry
- Microscopic observation of magnon bound states and their dynamics
- Strongly Correlated Quantum Walks in Optical Lattices
- Measuring multipartite entanglement via dynamic susceptibilities
- A Review of Perfect State Transfer and its Application as a Constructive Tool
- The creation of large photon-number path entanglement conditioned on photodetection
- Two Fermions in a double well: Exploring a fundamental building block of the Hubbard model
- Non-equilibrium dynamics of bosonic atoms in optical lattices: Decoherence of many-body states due to spontaneous emission
- Ultra-precise holographic beam shaping for microscopic quantum control
- Spin squeezing, entanglement and quantum metrology with Bose-Einstein condensates
- Two-particle states in the Hubbard model
- High photon number path entanglement in the interference of spontaneously downconverted photon pairs with coherent laser light
- Quantum Walk of Two Interacting Bosons
- Engineering the Dynamics of Effective Spin-Chain Models for Strongly Interacting Atomic Gases
- 99%-fidelity ballistic quantum-state transfer through long uniform channels
- Single atom detection in ultracold quantum gases: a review of current progress
- Quantum liquid of repulsively bound pairs of particles in a lattice
- Robustness of spin-coupling distributions for perfect quantum state transfer
- Long quantum channels for high-quality entanglement transfer
- Routing quantum information in spin chains
- Topological pumping of photons in nonlinear resonator arrays
- Perfect state transfer in networks of arbitrary topology and coupling configuration
- Quantum gas microscopy with spin, atom-number and multi-layer readout
- Experimental tomography of NOON states with large photon numbers
- Coherence and entanglement in the ground-state of a bosonic Josephson junction:from macroscopic Schrödinger cats to separable Fock states
- Statistics-dependent quantum co-walking of two particles in one-dimensional lattices with nearest-neighbor interactions
- Transfer of arbitrary two qubit states via a spin chain
- Long-range doublon transfer in a dimer chain induced by topology and ac fields
- Quantum spin chains with fractional revival
- Three-body bound states in a lattice
- Edge-localized states in quantum one-dimensional lattices
- Dissipation induced macroscopic entanglement in an open optical lattice
- Non-equilibrium dynamics in dissipative Bose-Hubbard chains
- Light scattering and dissipative dynamics of many fermionic atoms in an optical lattice
- Diagonalization of quasi-uniform tridiagonal matrices
- Entanglement entropy and macroscopic quantum states with dipolar bosons in a triple-well potential
- Pretty good state transfer of entangled states through quantum spin chains
- Fluorescence detection at the atom shot noise limit for atom interferometry
- Perfect wave-packet splitting and reconstruction in a one-dimensional lattice
- Sublattice dynamics and quantum state transfer of doublons in two-dimensional lattices
- Edge-locking and quantum control in highly polarized spin chains
- Efficient creation of maximally entangled states by modulation of tunneling rates
- Many-qubit quantum state transfer via spin chains
- Energetically constrained co-tunneling of cold atoms
- Bethe ansatz description of edge-localization in the open-boundary XXZ spin chain
- A novel analytic spin chain model with fractional revival
- Evaluation of the performance of two state-transfer Hamiltonians in the presence of static disorder
- Spatial two-particle NOON-states in periodically shaken three-well potentials
- A Toolbox for Linear Optics in a 1D Lattice via Minimal Control
- Escape dynamics of Bose-Hubbard dimer out of a trap
- Detection of entanglement in ultracold lattice gases
- Dynamical studies of macroscopic superposition states: Phase engineering of controlled entangled number states of Bose-Einstein condensate in multiple wells
- Three approaches for representing Lindblad dynamics by a matrix-vector notation
- Integrated information storage and transfer with a coherent magnetic device
- Holographic method for site-resolved detection of a 2D array of ultracold atoms
- Creation of NOON states by double Fock-state/Bose-Einstein condensates
Cited by in corpus (14)
- Quantum interferometers: principles and applications
- Topological bound states in interacting Su-Schrieffer-Heeger rings
- Sublattice dynamics and quantum state transfer of doublons in two-dimensional lattices
- Topological pumping in Aharonov-Bohm rings
- Analytical solution of open crystalline linear 1D tight-binding models
- Beyond hard-core bosons in transmon arrays
- Anomalous pairing of bosons: Effect of multi body interactions in optical lattice
- Fermionic quantum carpets: From canals and ridges to solitonlike structures
- Doublon lifetimes in dissipative environments
- Single- to many-body crossover of a quantum carpet
- Generation of N00N-like interferences with two thermal light sources
- Quantum sensing with ultracold simulators in lattice and ensemble systems: a review
- Quantum Gates Between Distant Qubits via Spin-Independent Scattering
- From Quantum Optics to Quantum Technologies