Abstract
We propose an experimental scheme to observe prethermalization and a dynamic phase transition in a one-dimensional XY spin chain with long-range interactions and inhomogeneous lattice spacing, which can be readily implemented with a recently developed trapped-ion quantum simulator. Local physical observables are found to relax to prethermal values at an intermediate timescale, followed by complete relaxation to thermal values at much longer time. The physical origin of prethermalization is shown to result from a non-trivial structure in the lower half of the energy spectrum. The dynamic behavior of the system is shown to cross different phases when the interaction range is continuously tuned, indicating the existence of a dynamic phase transition.
Highlights
We propose an experimental scheme to observe prethermalization and dynamical transition in onedimensional XY spin chain with long range interaction and inhomogeneous lattice spacing, which can be readily implemented with the recently developed trapped-ion quantum simulator
Recent progress with cold atoms [12,13,14] and trapped ions [15,16,17,18,19,20] has made it possible to simulate well controlled simple models, such as one-dimensional (1D) Bose gas and transverse field Ising model. These quantum systems can be well isolated from the environmental bath and have long coherence time, while their physical properties can be measured at individual atomic level, providing an unprecedented opportunity for studying non-equilibrium dynamics in closed interacting systems
We propose a new experimental scheme for observing and studying prethermalization and related dynamical transition in a XY spin model, which can be implemented with the current trapped-ion quantum simulator [19]
Summary
We propose an experimental scheme to observe prethermalization and dynamical transition in onedimensional XY spin chain with long range interaction and inhomogeneous lattice spacing, which can be readily implemented with the recently developed trapped-ion quantum simulator. Recent progress with cold atoms [12,13,14] and trapped ions [15,16,17,18,19,20] has made it possible to simulate well controlled simple models, such as one-dimensional (1D) Bose gas and transverse field Ising model These quantum systems can be well isolated from the environmental bath and have long coherence time, while their physical properties can be measured at individual atomic level, providing an unprecedented opportunity for studying non-equilibrium dynamics in closed interacting systems. The spin excitation diffuses to the rest of the chain in the long-range interaction case and somehow get locked before it reaches the middle of the chain (with C ≈ −0.4)
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