Dynamically induced many-body localization

@article{Choi2017DynamicallyIM,
  title={Dynamically induced many-body localization},
  author={Soonwon Choi and Dmitry A. Abanin and Mikhail D. Lukin},
  journal={arXiv: Disordered Systems and Neural Networks},
  year={2017}
}
We show that a quantum phase transition from ergodic to many-body localized (MBL) phases can be induced via periodic pulsed manipulation of spin systems. Such a transition is enabled by the interplay between weak disorder and slow heating rates. Specifically, we demonstrate that the Hamiltonian of a weakly disordered ergodic spin system can be effectively engineered, by using sufficiently fast coherent controls, to yield a stable MBL phase, which in turn completely suppresses the energy… 

Figures from this paper

Suppression of heating by long-range interactions in periodically driven spin chains

We propose a mechanism to suppress heating in periodically driven many-body quantum systems by employing sufficiently long-range interactions and experimentally relevant initial conditions. The

Quantum Dynamics of Strongly Interacting Many-Body Systems

Recent advances in coherent manipulation and control have led to new opportunities to study non-equilibrium dynamics in quantum many-body systems. Using a variety of experimental platforms ranging

Coherent Control of Two-level Systems with Periodic $N$-Steps Driving Fields.

In this work, we derive the exact solutions of the dynamical equation, which can describe all two-level Hermitian systems driven by periodic $N$-steps driving fields. The solutions are a set of

Effective dynamics and applications in periodic kicks systems

In this work, we study the kick dynamics of periodically driven quantum systems, and provide a time-independent effective Hamiltonian with the analytical form to reasonably describe the effective

Dynamical Enhancement of Symmetries in Many-Body Systems.

A dynamical decoupling protocol for accurately generating local and global symmetries in general many-body systems is constructed and can be used to realize a wide variety of quantum models, and nonequilibrium quantum phases.

Many-Body Localization in the Presence of a Central Qudit.

This many-body localized system coupled globally to a central d-level system provides one of the first examples of many- body localization in the presence of long-range (nonconfining) interactions.

Many-Body Localization of Haldane-Shastry Model with Periodic Driving

In this work, we study the property of many-body localization(MBL) in the Haldane-Shastry(HS) chain which is driven by an additional time-dependent perturbation periodically. The Haldane-Shastry (HS)

Robustness of the Floquet many-body localized phase in the presence of a smooth and a non-smooth drive

In this work, we investigate how the critical driving amplitude at the Floquet MBL-to-ergodic phase transition differs between smooth and non-smooth driving over a wide range of driving frequencies.

Floquet dynamics of disordered bands with isolated critical energies

We investigate the localization properties of driven models that exhibit a sub-extensive number of extended states in the static setting. We consider instances where the extended modes are or are not

Two-level systems with periodic N -step driving fields: Exact dynamics and quantum state manipulations

Zhi-Cheng Shi,1,2 Ye-Hong Chen ,3 Wei Qin,3 Yan Xia,1,2,* X. X. Yi ,4,† Shi-Biao Zheng,1,2 and Franco Nori 3,5 1Fujian Key Laboratory of Quantum Information and Quantum Optics (Fuzhou University),

References

SHOWING 1-10 OF 48 REFERENCES

Many-body localization phase transition

We use exact diagonalization to explore the many-body localization transition in a random-field spin-1/2 chain. We examine the correlations within each many-body eigenstate, looking at all

Driving induced many-body localization

Subjecting a many-body localized system to a time-periodic drive generically leads to delocalization and a transition to ergodic behavior if the drive is sufficiently strong or of sufficiently low

Unbounded growth of entanglement in models of many-body localization.

The significance for proposed atomic experiments is that local measurements will show a large but nonthermal entropy in the many-body localized state, which develops slowly over a diverging time scale as in glassy systems.

Dynamical many‐body localization and delocalization in periodically driven closed quantum systems

Quantum interference lies at the heart of several surprising equilibrium and non‐equilibrium phenomena in many‐body Physics. Here we discuss two recently explored non‐equilibrium scenarios where

Exponentially Slow Heating in Periodically Driven Many-Body Systems.

It is shown that, for systems with local interactions, the energy absorption rate decays exponentially as a function of driving frequency in any number of spatial dimensions, implying that topological many-body states in periodically driven systems, although generally metastable, can have very long lifetimes.

Observation of discrete time-crystalline order in a disordered dipolar many-body system

This work observes long-lived temporal correlations, experimentally identifies the phase boundary and finds that the temporal order is protected by strong interactions, which opens the door to exploring dynamical phases of matter and controlling interacting, disordered many-body systems.

Many-body localization in periodically driven systems.

An effective model of the MBL phase is proposed in terms of an extensive number of emergent local integrals of motion, which naturally explains the spectral and dynamical properties of this phase.

Many-body localization in dipolar systems.

This work proposes and analyzes several experimental systems that can be used to observe and probe many-body localized phases, including ultracold polar molecules and solid-state magnetic spin impurities.