Dynamical symmetry breaking with optimal control: reducing the number of pieces

Abstract

We analyse the production of defects during the dynamical crossing of a mean-field phase transition with a real order parameter. When the parameter that brings the system across the critical point changes in time according to a power-law schedule, we recover the predictions dictated by the well-known Kibble-Zurek theory. For a fixed duration of the evolution, we show that the average number of defects can be drastically reduced for a very large but finite system, by optimising the time dependence of the driving using optimal control techniques. Furthermore, the optimised protocol is robust against small fluctuations.

arXiv commentPublished version

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Cited by in corpus (8)

• An information theoretical analysis of quantum optimal control
• Dynamic scaling at classical phase transitions approached through non-equilibrium quenching
• Universal dynamics of inhomogeneous quantum phase transitions: suppressing defect formation
• Inhomogeneous quasi-adiabatic driving of quantum critical dynamics in weakly disordered spin chains
• Harnessing non-adiabatic excitations promoted by a quantum critical point
• Optimal suppression of defect generation during a passage across a quantum critical point
• Counterdiabatic control in the impulse regime
• Non-Adiabatic Quantum Optimization for Crossing Quantum Phase Transitions