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.

10 pages including appendix, 3 figures, revised version

References in corpus (11)

• Many-Body Physics with Ultracold Gases
• Ultracold atomic gases in optical lattices: mimicking condensed matter physics and beyond
• Single-Spin Addressing in an Atomic Mott Insulator
• Perfect Transfer of Arbitrary States in Quantum Spin Networks
• Quantum Communication through Spin Chain Dynamics: an Introductory Overview
• Far-from-equilibrium spin transport in Heisenberg quantum magnets
• Quantum Speed Limit for Perfect State Transfer in One Dimension
• Electron wavepacket propagation and entanglement in a chain of coupled quantum dots
• Quantum state transfer and time-dependent disorder in Quantum Chains
• Transfer of d-Level quantum states through spin chains by random swapping
• Perfect transference of a d-level quantum state over pseudo-distance-regular networks

Cited by in corpus (16)

• Quantum spin transistor with a Heisenberg spin chain
• Strongly Interacting Quantum Gases in One-Dimensional Traps
• Free fermions at the edge of interacting systems
• 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
• Spectral properties and breathing dynamics of a few-body Bose-Bose mixture in a 1D harmonic trap
• Factorization and criticality in finite XXZ systems of arbitrary spin
• Strongly Interacting One-Dimensional Systems with Small Mass Imbalance
• NOON States via Quantum Walk of Bound Particles
• Phase separation of a Bose-Bose mixture: impact of the trap and particle number imbalance
• Two-point momentum correlations of few ultracold quasi-one-dimensional trapped fermions: Diffraction patterns
• Exact results for polaron and molecule in one-dimensional spin-1/2 Fermi gas
• Dynamical realization of magnetic states in a strongly interacting Bose mixture
• Tuning an effective spin chain of three strongly interacting one-dimensional fermions with the transversal confinement
• Thermodynamics of one-dimensional SU(4) and SU(6) fermions with attractive interactions
• Spin Localization of a Fermi Polaron in a Quasirandom Optical Lattice
• Generalized Bose-Fermi mapping and strong coupling ansatz wavefunction for one dimensional strongly interacting spinor quantum gases