Prethermal quantum many-body Kapitza phases of periodically driven spin systems

Abstract

As realized by Kapitza long ago, a rigid pendulum can be stabilized upside down by periodically driving its suspension point with tuned amplitude and frequency. While this dynamical stabilization is feasible in a variety of instances in systems with few degrees of freedom, it is natural to search for generalizations to multi-particle systems. In particular, a fundamental question is whether, by periodically driving a single parameter in a many-body system, one can stabilize an otherwise unstable phase of matter against all possible fluctuations of its microscopic degrees of freedom. In this work we show that such stabilization occurs in experimentally realizable quantum many-body systems: a periodic modulation of a transverse magnetic field can make ferromagnetic spin systems with long-range interactions stably trapped around unstable paramagnetic configurations as well as in other unconventional dynamical phases with no equilibrium counterparts. We demonstrate that these quantum Kapitza phases have a long lifetime and can be observed in current experiments with trapped ions.

Significantly improved and enlarged version (12 pages, 8 figures). Detailed discussion of the effects of algebraically decaying interactions added. Discussion of quantum simulations with trapped ions added. Selected as "Editors' suggestion" in Physical Review B

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Cited by in corpus (41)

• Long-range interacting quantum systems
• Excited-state quantum phase transitions
• Transverse-Field Ising Dynamics in a Rydberg-Dressed Atomic Gas
• Bridging entanglement dynamics and chaos in semiclassical systems
• Dynamical phase transitions in the collisionless pre-thermal states of isolated quantum systems: theory and experiments
• Long-Range Prethermal Phases of Nonequilibrium Matter
• Discrete time-crystalline order enabled by quantum many-body scars: entanglement steering via periodic driving
• Origin of the slow growth of entanglement entropy in long-range interacting spin systems
• Out-of-equilibrium dynamics of quantum many-body systems with long-range interactions
• Correlation engineering via non-local dissipation
• Floquet Phases of Matter via Classical Prethermalization
• Mobility edge and multifractality in a periodically driven Aubry-André model
• Effective Floquet Hamiltonian in the low-frequency regime
• Discrete time-crystalline response stabilized by domain-wall confinement
• Floquet-engineering topological transitions in a twisted transition metal dichalcogenide homobilayer
• Dynamical scaling of correlations generated by short- and long-range dissipation
• Out-of-equilibrium phase transitions induced by Floquet resonances in a periodically quench-driven XY spin chain
• Population trapping in a pair of periodically driven Rydberg atoms
• Fractal nature of high-order time crystal phases
• Theory of robust quantum many-body scars in long-range interacting systems
• Stroboscopic aliasing in long-range interacting quantum systems
• Universality classes of thermalization for mesoscopic Floquet systems
• Kapitsa pendulum effects in Josephson junction + nanomagnet under external periodic drive
• Linear and logarithmic entanglement production in an interacting chaotic system
• A Kapitza Pendulum for Ultracold Atoms
• Dynamic renormalization group theory for open Floquet systems
• Manipulating phases in many-body interacting systems with subsystem resetting
• Kapitza stabilization of quantum critical order
• Stabilization of Discrete Time-Crystaline Response on a Superconducting Quantum Computer by increasing the Interaction Range
• Oscillatory states of quantum Kapitza pendulum
• Prethermalization with negative specific heat
• Quantum memory at an eigenstate phase transition in a weakly chaotic model
• Universal scaling at a pre-thermal dark state
• Direct driving of electronic and phononic degrees of freedom in a honeycomb bilayer with infrared light
• The failure of semiclassical approach in the dissipative fully-connected Ising model
• Quantum states of the Kapitza pendulum
• Low-frequency and Moiré Floquet engineering: a review
• Floquet thermalization by power-law induced permutation symmetry breaking
• Kinetically constrained cavity QED: from blockaded ferromagnetism to long-range quantum scars
• Intervalley Band Crossing and Transition of Fractional Chern Insulators in Floquet Twisted Bilayer MoTe${}_2$
• Quantum optimal control of the Dicke manifold in dipolar Rydberg atom arrays