Generating discrete time crystals through optimal control
Mrutyunjaya Sahoo, Rahul Ghosh, Bandita Das, Shishira Mahunta, Bodhaditya Santra, and Victor Mukherjee
TL;DR
This paper introduces an optimal control approach to generate Discrete Time Crystals in quantum systems by formulating their formation as an optimization problem, enabling the design of realistic control pulses.
Contribution
It presents a novel method that uses optimal control to create DTCs, expanding the toolkit for studying time symmetry breaking in quantum systems.
Findings
Successfully generates DTCs in simulated quantum systems.
Identifies control protocols effective with and without dissipation.
Provides pathways for experimental realization of DTCs.
Abstract
In this work we use optimal control to generate Discrete Time Crystals (DTC) in generic many-body quantum systems. We define appropriate cost functions, which, when optimized, result in the formation of DTCs. This hitherto unexplored method represents DTCs as an optimization problem, and allows us to find non-trivial realistic periodic control pulses and parameter regimes which result in spontaneous breaking of time-translational symmetry in quantum systems. We exemplify our approach using many-body quantum systems in the presence, as well as absence of dissipation. We also discuss possible experimental realization of the control protocol for generating DTCs.
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Taxonomy
TopicsQuantum many-body systems · Quantum Computing Algorithms and Architecture · Topological Materials and Phenomena