Engineering the Dynamics of Effective Spin-Chain Models for Strongly Interacting Atomic Gases

Abstract

We consider a one-dimensional gas of cold atoms with strong contact interactions and construct an effective spin-chain Hamiltonian for a two-component system. The resulting Heisenberg spin model can be engineered by manipulating the shape of the external confining potential of the atomic gas. We find that bosonic atoms offer more flexibility for tuning independently the parameters of the spin Hamiltonian through interatomic (intra-species) interaction which is absent for fermions due to the Pauli exclusion principle. Our formalism can have important implications for control and manipulation of the dynamics of few- and many-body quantum systems; as an illustrative example relevant to quantum computation and communication, we consider state transfer in the simplest non-trivial system of four particles representing exchange-coupled qubits.

arXiv comment10 pages including appendix, 3 figures, revised version

References in corpus (29)

• 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
• Ultracold atomic gases in optical lattices: mimicking condensed matter physics and beyond
• Quantum Communication Through an Unmodulated Spin Chain
• Perfect state transfer in quantum spin networks
• Controlling Spin Exchange Interactions of Ultracold Atoms in Optical Lattices
• A Mott insulator of fermionic atoms in an optical lattice
• Single-Spin Addressing in an Atomic Mott Insulator
• Metallic and Insulating Phases of Repulsively Interacting Fermions in a 3D Optical Lattice
• Realization of an Excited, Strongly-Correlated Quantum Gas Phase
• Perfect Transfer of Arbitrary States in Quantum Spin Networks
• Fermi-Hubbard physics with atoms in an optical lattice
• Counterflow Superfluidity of Two-Species Ultracold Atoms in a Commensurate Optical Lattice
• Quantum Communication through Spin Chain Dynamics: an Introductory Overview
• From Few to Many: Observing the Formation of a Fermi Sea One Atom at a Time
• A Review of Perfect State Transfer and its Application as a Constructive Tool
• Fermionization of two distinguishable fermions
• Far-from-equilibrium spin transport in Heisenberg quantum magnets
• Strongly interacting confined quantum systems in one dimension
• Quantum magnetism without lattices in strongly interacting one-dimensional spinor gases
• Quantum Speed Limit for Perfect State Transfer in One Dimension
• Electron wavepacket propagation and entanglement in a chain of coupled quantum dots
• State transfer in static and dynamic spin chains with disorder
• Quantum state transfer and time-dependent disorder in Quantum Chains
• Transfer of d-Level quantum states through spin chains by random swapping
• Fractional energy states of strongly-interacting bosons in one dimension
• Perfect transference of a d-level quantum state over pseudo-distance-regular networks

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