Transport and Entanglement Generation in the Bose-Hubbard Model

Abstract

We study entanglement generation via particle transport across a one-dimensional system described by the Bose-Hubbard Hamiltonian. We analyze how the competition between interactions and tunneling affects transport properties and the creation of entanglement in the occupation number basis. Alternatively, we propose to use spatially delocalized quantum bits, where a quantum bit is defined by the presence of a particle either in a site or in the adjacent one. Our results can serve as a guidance for future experiments to characterize entanglement of ultracold gases in one-dimensional optical lattices.

14 pages, 6 figures

References in corpus (21)

• Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms
• Cold bosonic atoms in optical lattices
• Quantum Communication Through an Unmodulated Spin Chain
• Quantum random walks - an introductory overview
• Perfect state transfer in quantum spin networks
• Stable 85Rb Bose-Einstein Condensates with Widely Tunable Interactions
• An example of the difference between quantum and classical random walks
• Quantum Entanglement in Fermionic Lattices
• The one-dimensional Bose-Hubbard Model with nearest-neighbor interaction
• Strong-coupling expansions for the pure and disordered bose Hubbard model
• Dynamics of Entanglement in One-Dimensional Spin Systems
• Time evolution algorithms for Matrix Product States and DMRG
• Entanglement dynamics in the Lipkin-Meshkov-Glick model
• Quantum Entanglement of Identical Particles
• Quantum computing with spatially delocalized qubits
• Describing mixed spin-space entanglement of pure states of indistinguishable particles using an occupation number basis
• Natural Entanglement in Bose-Einstein Condensates
• Charge transport through quantum dots via time-varying tunnel couplings
• A proposal for the implementation of quantum gates with photonic-crystal coupled cavity waveguides
• Dynamics of entanglement in quantum computers with imperfections
• Spin-Space Entanglement Transfer and Quantum Statistics

Cited by in corpus (10)

• Fermionic transport in a homogeneous Hubbard model: Out-of-equilibrium dynamics with ultracold atoms
• Quantum Ratchets for Quantum Communication with Optical Superlattices
• Spatial entanglement using a quantum walk on a many-body system
• Continuous-variable gate decomposition for the Bose-Hubbard model
• Bose-Hubbard model for universal quantum walk-based computation
• Interferometry using Adiabatic Passage in Dilute Gas Bose-Einstein Condensates
• End-to-end entanglement in Bose-Hubbard chains
• Numerical Computation of Dynamically Important Excited States of Many-Body Systems
• Gaussian quantum fluctuations in the superfluid-Mott phase transition
• Suppression of collision-induced dephasing by periodic, erratic, or noisy driving