Crossover from fast to slow dynamics in quantum Ising chains with long range interactions

Abstract

Quantum many body systems with long range interactions are known to display many fascinating phenomena experimentally observable in trapped ions, Rydberg atoms and polar molecules. Among these are dynamical phase transitions which occur after an abrupt quench in spin chains with interactions decaying as $r^{-\alpha }$ and whose critical dynamics depend crucially on the power $\alpha$: for systems with $\alpha <1$ the transition is sharp while for $\alpha >1$ it fans out in a chaotic crossover region. In this paper we explore the fate of critical dynamics in Ising chains with long-range interactions when the transverse field is ramped up with a finite speed. While for abrupt quenches we observe a chaotic region that widens as $\alpha$ is increased, the width of the crossover region diminishes as the time of the ramp increases, suggesting that chaos will disappear altogether and be replaced by a sharp transition in the adiabatic limit.

5 pages, 4 figures

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Cited by in corpus (8)

• Dynamical phase transitions in the collisionless pre-thermal states of isolated quantum systems: theory and experiments
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• Symmetries and conserved quantities of boundary time crystals in generalized spin models
• Finite-temperature critical behavior of long-range quantum Ising models
• Discrete truncated Wigner approach to dynamical phase transitions in Ising models after a quantum quench
• Quantum chaos and ensemble inequivalence of quantum long-range Ising chains
• Equilibrium and dynamical phase transitions in fully connected quantum Ising model: Approximate energy eigenstates and critical time
• Multiparticle Quantum Heat Engine: Exploring the Impact of Criticality on Efficiency