Fast forward of adiabatic spin dynamics of entangled states

Abstract

We develop a scheme of fast forward of adiabatic spin dynamics of quantum entangled states. We settle the quasi-adiabatic dynamics by adding the regularization terms to the original Hamiltonian and then accelerate it with use of a large time-scaling factor. Assuming the experimentally-realizable candidate Hamiltonian consisting of the exchange interactions and magnetic field, we solved the regularization terms. These terms multiplied by the velocity function give rise to the state-dependent counter-diabatic terms. The scheme needs neither knowledge of full spectral properties of the system nor solving the initial and boundary value problem. Our fast forward Hamiltonian generates a variety of state-dependent counter-diabatic terms for each of adiabatic states, which can include the state-independent one. We highlight this fact by using minimum (two-spin) models for a simple transverse Ising model, quantum annealing and generation of entanglement.

13 pages, 9 figures

References in corpus (7)

• Lewis-Riesenfeld invariants and transitionless tracking algorithm
• Assisted finite-rate adiabatic passage across a quantum critical point: Exact solution for the quantum Ising model
• High-fidelity rapid ground-state loading of an ultracold gas into an optical lattice
• Shortcuts to adiabatic passage for multiparticle in distant cavities: Applications to fast and noise-resistant quantum population transer, entangled states' preparation and transition
• Fast-forward scaling in a finite-dimensional Hilbert space
• Fast driving between arbitrary states of a quantum particle by trap deformation
• Fast forward of adiabatic control of tunneling states

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