Shortcut to adiabaticity in the Lipkin-Meshkov-Glick model
Steve Campbell1, Gabriele De Chiara1, Mauro Paternostro1
1Centre for Theoretical Atomic, Molecular and Optical Physics, School of Mathematics and Physics, Queen's University, Belfast BT7 1NN, United Kingdom.
Abstract:
We study transitionless quantum driving in an infinite-range many-body system described by the Lipkin-Meshkov-Glick model. Despite the correlation length being always infinite the closing of the gap at the critical point makes the driving Hamiltonian of increasing complexity also in this case. To this aim we develop a hybrid strategy combining a shortcut to adiabaticity and optimal control that allows us to achieve remarkably good performance in suppressing the defect production across the phase transition.
Related Concept Videos
Adiabatic Processes for an Ideal Gas
Adsorption Isotherms I
Theories of Dissolution: The Danckwerts' Model and Interfacial Barrier Model
The Kinetic Model of Gases
Pressure and Volume in an Adiabatic Process
Entropy Change in Reversible Processes
The statement can be further generalized to prove that entropy is a state function. Take a cyclic process between any two points on a p-V diagram.


