Universal dynamics of inhomogeneous quantum phase transitions: suppressing defect formation

Abstract

In the nonadiabatic dynamics across a quantum phase transition, the Kibble-Zurek mechanism predicts that the formation of topological defects is suppressed as a universal power law with the quench time. In inhomogeneous systems, the critical point is reached locally and causality reduces the effective system size for defect formation to regions where the velocity of the critical front is slower than the sound velocity, favoring adiabatic dynamics. The reduced density of excitations exhibits a much steeper dependence on the quench rate and is also described by a universal power-law, that we demonstrated in a quantum Ising chain.

arXiv commentMain text: 5 pages, 3 figures and supplemental Material: 6 pages, 5 figures. Accepted PRL

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Cited by in corpus (35)

• Probing the Universality of Topological Defect Formation in a Quantum Annealer: Kibble-Zurek Mechanism and Beyond
• Transverse-Field Ising Dynamics in a Rydberg-Dressed Atomic Gas
• Full Counting Statistics of Topological Defects After Crossing a Phase Transition
• Universal breakdown of Kibble-Zurek scaling in fast quenches across a phase transition
• Experimentally testing quantum critical dynamics beyond the Kibble-Zurek mechanism
• Sonic horizons and causality in the phase transition dynamics
• Kibble-Zurek scaling in quantum speed limits for shortcuts to adiabaticity
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• Harnessing non-adiabatic excitations promoted by a quantum critical point
• Counterdiabatic control in the impulse regime
• Quench dynamics and scaling laws in topological nodal loop semimetals
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