Adiabatic Time Evolution in Spin-Systems
arXiv:quant-ph/0309026 · doi:10.1103/PhysRevA.69.042320
Abstract
Adiabatic processes in the quantum Ising model and the anisotropic Heisenberg model are discussed. The adiabatic processes are assumed to consist in the slow variation of the strength of the magnetic field that environs the spin-systems. These processes are of current interest in the treatment of cold atoms in optical lattices and in Adiabatic Quantum Computation. We determine the probability that, during an adiabatic passage starting from the ground state, states with higher energy are excited.
11 pages, 9 EPS figures
References in corpus (8)
- Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms
- Cold bosonic atoms in optical lattices
- Controlling Spin Exchange Interactions of Ultracold Atoms in Optical Lattices
- Simulation of Many-Body Fermi Systems on a Universal Quantum Computer
- Robustness of adiabatic quantum computation
- Polynomial-Time Simulation of Pairing Models on a Quantum Computer
- Entangling strings of neutral atoms in 1D atomic pipeline structures
- Quantum computation with unknown parameters
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- Robustness of adiabatic passage trough a quantum phase transition
- Controlling quantum critical dynamics of isolated systems
- Controllable exchange coupling between two singlet-triplet qubits
- Quantum simulation of interacting high-dimensional systems: the influence of noise
- Inhomogeneous quasi-adiabatic driving of quantum critical dynamics in weakly disordered spin chains
- Compressed quantum simulation of the Ising model
- Entanglement dynamics for two interacting spins
- Compressed Simulation of evolutions of the XY-model
- Compressed quantum metrology for the Ising Hamiltonian
- Double dot chain as a macroscopic quantum bit
- Quantum Phase Transitions in Anti-ferromagnetic Planar Cubic Lattices
- Conformal Field Theories as Scaling Limit of Anyonic Chains
- Energy Spectrum and Exact Cover in an Extended Quantum Ising Model
- A perturbative approach for the dynamics of the quantum Zeno subspaces