Absolute stability and spatiotemporal long-range order in Floquet systems

By C. V. von Keyserlingk, V. Khemani, Shiv Sondhi. 2016

259 citations recorded by the source corpus.

Recent work has shown that a variety of novel phases of matter arise in periodically driven Floquet systems. Among these are many-body localized phases which spontaneously break global symmetries and exhibit novel multiplets of Floquet eigenstates separated by quantized quasienergies. Here we show that these properties are stable to all weak local deformations of the underlying Floquet drives -- including those that explicitly break the defining symmetries -- and that the models considered until now occupy sub-manifolds within these larger "absolutely stable" phases. While these absolutely stable phases have no explicit global symmetries, they spontaneously break Hamiltonian dependent emergent symmetries, and thus continue to exhibit the novel multiplet structure. The multiplet structure in turn encodes characteristic oscillations of the emergent order parameter at multiples of the fundamental period. Altogether these phases exhibit a form of simultaneous long-range order in space and time which is new to quantum systems. We describe how this spatiotemporal order can be detected in experiments involving quenches from a broad class of initial states.

Subfields: Atomic and Molecular Physics, and Optics, Condensed Matter Physics

View Paper: https://www.semanticscholar.org/paper/2230355d2cd545890361adf2361386faab448d83

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Atomic and Molecular Physics, and Optics

1. D. Else
2. Bela Bauer
3. C. Nayak
4. A. Eckardt
5. D. Abanin
6. Ashvin Vishwanath
7. Andrew C. Potter
8. T. Morimoto

In Condensed Matter Physics

1. Bela Bauer
2. C. Nayak
3. D. Else

Citations in the corpus

• Colloquium: Atomic quantum gases in periodically driven optical lattices (2016, background): “…behavior described above are periodically driven model systems that in the thermodynamic limit relax to an asymptotic state, dubbed Floquet time crystal, with O(t) 6= O(t + T ), but O(t) = O(t + kT ) with integer k (Else et al., 2016; von Keyserlingk et al., 2016; von Keyserlingk and Sondhi, 2016).”
• Pre-thermal phases of matter protected by time-translation symmetry (2016, background): “[45], where a similar “hidden” symmetry was constructed for manybody-localized Floquet time crystals.”