Unconventional critical exponents at dynamical quantum phase transitions in a random Ising chain

Understand

Dynamical quantum phase transitions (DQPTs) feature singular temporal behavior in transient quantum states during nonequilibrium real-time evolution.

• In this work we show that DQPTs in random Ising chains exhibit critical behavior with nontrivial exponents that are not integer valued and not of mean-field type.
• By means of an exact renormalization group transformation we estimate the exponents with high accuracy eliminating largely any finite-size effects.
• We further discuss how the considered dynamical phenomena can be made accessible in current Rydberg atom platforms.