Long-Range Prethermal Phases of Nonequilibrium Matter

@article{Machado2020LongRangePP,
  title={Long-Range Prethermal Phases of Nonequilibrium Matter},
  author={Francisco Machado and Dominic V. Else and Gregory D. Kahanamoku-Meyer and C. Nayak and Norman Y. Yao},
  journal={Physical Review X},
  year={2020}
}
We prove the existence of non-equilibrium phases of matter in the prethermal regime of periodically-driven, long-range interacting systems, with power-law exponent $\alpha > d$, where $d$ is the dimensionality of the system. In this context, we predict the existence of a disorder-free, prethermal discrete time crystal in one dimension -- a phase strictly forbidden in the absence of long-range interactions. Finally, using a combination of analytic and numerical methods, we highlight key… 

Figures and Tables from this paper

Tuning between continuous time crystals and many-body scars in long-range XYZ spin chains
Persistent oscillatory dynamics in non-equilibrium many-body systems is a tantalizing manifesta-tion of ergodicity breakdown that continues to attract much attention. Recent works have focused on two
Classical prethermal discrete time crystals
We demonstrate that the prethermal regime of periodically-driven, classical many-body systems can host non-equilibrium phases of matter. In particular, we show that there exists an effective
Metastable discrete time-crystal resonances in a dissipative central spin system
We consider the non-equilibrium behavior of a central spin system where the central spin is periodically reset to its ground state. The quantum mechanical evolution under this effectively dissipative
Clean two-dimensional Floquet time-crystal
We consider the two-dimensional quantum Ising model, in absence of disorder, subject to periodic imperfect global spin flips. We show by a combination of exact diagonalization and tensor-network
Protecting coherence from environment via Stark many-body localization in a Quantum-Dot Simulator
Semiconductor platforms are emerging as a promising architecture for storing and processing quantum information e.g., in quantum dot spin qubits . These setups have relatively low nuclear noise, but
High-order time crystal phases and their fractal nature
Discrete Floquet time crystals (DFTC) are characterized by the spontaneous breaking of the discrete time-translational invariance characteristic of Floquet driven systems. In analogy with equilibrium
Quantum Phases of Time Order in Many-Body Ground States
Understanding phases of matter is of both fundamental and practical importance. Prior to the widespread appreciation and acceptance of topological order, the paradigm of spontaneous symmetry
Observation of a long-lived prethermal discrete time crystal created by two-frequency driving
William Beatrez,1, ∗ Christoph Fleckenstein,2, ∗ Arjun Pillai,1 Erica Sanchez,1 Amala Akkiraju,1 Jesus Alcala,1 Sophie Conti,1 Paul Reshetikhin,1 Emanuel Druga,1 Marin Bukov,3, 4, † and Ashok Ajoy1,
Dynamical scaling of correlations generated by short- and long-range dissipation
We study the spatio-temporal spreading of correlations in an ensemble of spins due to dissipation characterized by short- and long-range spatial profiles. Such emission channels can be synthetized
Criticality and rigidity of dissipative discrete time crystals in solids
We consider a dissipative quantum Ising model periodically driven by a train of π-pulses and investigate dissipative discrete time crystals (DTCs) in solids. In this model, the interaction between
...
...

References

SHOWING 1-10 OF 109 REFERENCES
Pre-thermal phases of matter protected by time-translation symmetry
In a periodically driven (Floquet) system, there is the possibility for new phases of matter, not present in stationary systems, protected by discrete time-translation symmetry. This includes
Supplementary Information: Emergent hydrodynamics in Floquet quantum systems
Bingtian Ye, Francisco Machado, Christopher David White, Roger S. K. Mong, 4 and Norman Y. Yao 5 Department of Physics, University of California, Berkeley, CA 94720, USA Institute for Quantum
[C]
  • Thomas de Quincey
  • Physics
    The Works of Thomas De Quincey, Vol. 1: Writings, 1799–1820
  • 2000
In supernova (SN) spectroscopy relatively little attention has been given to the properties of optically thick spectral lines in epochs following the photosphere’s recession. Most treatments and
‘L’
  • P. Alam
  • Composites Engineering: An A–Z Guide
  • 2021
Locality and heating in periodically driven, power-law-interacting systems.
TLDR
It is conjecture that the gap between the results from the linear response theory and the Magnus-like expansion does not have physical implications, but is, rather, due to the lack of tight Lieb-Robinson bounds for power-law interactions.
Finite Speed of Quantum Scrambling with Long Range Interactions.
TLDR
In one spatial dimension, it is proved that the speed of quantum scrambling remains finite for sufficiently large α, which parametrically improves previous bounds, compares favorably with recent numerical simulations, and can be realized in quantum simulators with dipolar interactions.
Statistical physics: Localization goes long
Signatures of many-body localization have been observed in a one-dimensional chain of trapped ions, heralding new studies of the interplay between localization and long-range interactions.
Phase structure of one-dimensional interacting Floquet systems. II. Symmetry-broken phases
Recent work suggests that a sharp definition of ``phase of matter'' can be given for periodically driven ``Floquet'' quantum systems exhibiting many-body localization. In this work, we propose a
Phase structure of one-dimensional interacting Floquet systems. I. Abelian symmetry-protected topological phases
Recent work suggests that a sharp definition of `phase of matter' can be given for some quantum systems out of equilibrium---first for many-body localized systems with time independent Hamiltonians
...
...