Spin dynamics for bosons in an optical lattice

Abstract

We study the internal dynamics of bosonic atoms in an optical lattice. Within the regime in which the atomic crystal is a Mott insulator with one atom per well, the atoms behave as localized spins which interact according to some spin Hamiltonian. The type of Hamiltonian (Heisenberg, Ising), and the sign of interactions may be tuned by changing the properties of the optical lattice, or applying external magnetic fields. When, on the other hand, the number of atoms per lattice site is unknown, we can still use the bosons to perform general quantum computation.

References in corpus (10)

• Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms
• Cold bosonic atoms in optical lattices
• Persistent entanglement in arrays of interacting particles
• Dynamical suppression of decoherence in two-state quantum systems
• Collapse and Revival of the Matter Wave Field of a Bose-Einstein Condensate
• Holonomic Quantum Computation
• Entanglement of atoms via cold controlled collisions
• Non-Abelian Berry connections for quantum computation
• Quantum information processing in bosonic lattices
• Quantum computation with unknown parameters

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• Indirect Quantum Tomography of Quadratic Hamiltonians
• Quantum synchronization in dimer atomic lattices
• Statistics-dependent quantum co-walking of two particles in one-dimensional lattices with nearest-neighbor interactions
• Quantum state transfer and time-dependent disorder in Quantum Chains
• Hybrid quantum magnetism in circuit-QED: from spin-photon waves to many-body spectroscopy
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• Incompressible states of a two-component Fermi gas in a double-well optical lattice
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• Perfect Cluster States from Imperfect Global Entanglement
• Thermomagnetic Anomalies by Magnonic Criticality in Ultracold Atomic Transport
• Thermomagnetic anomalies in quantum magnon transport caused by tunable junction geometries in cold atomic systems
• Locally controlled arrested thermalization
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