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Discrete Time Crystals: Rigidity, Criticality, and Realizations.

A simple model for a one-dimensional discrete time crystal which explicitly reveals the rigidity of the emergent oscillations as the drive is varied is considered and a blueprint based upon a one dimensional chain of trapped ions is proposed.
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Observation of a discrete time crystal

The experimental observation of a discrete time crystal, in an interacting spin chain of trapped atomic ions, is presented, which opens the door to the study of systems with long-range spatio-temporal correlations and novel phases of matter that emerge under intrinsically non-equilibrium conditions.
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Floquet Symmetry-Protected Topological Phases in Cold-Atom Systems.

It is demonstrated that a driven transverse-field Ising model can be used to engineer complex interactions which enable the emulation of an equilibrium SPT phase and the distinction between the equilibrium and Floquet SPT phases is clarified by identifying a unique micromotion-based entanglement spectrum signature of the latter.
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Erratum: Discrete Time Crystals: Rigidity, Criticality, and Realizations [Phys. Rev. Lett. 118, 030401 (2017)].

This corrects the article DOI: 10.1103/PhysRevLett.118.030401 to reflect that the paper was originally published in Physical Review Letters, not RevLett, rather than Science, which is correct.
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Classical-Quantum Mixing in the Random 2-Satisfiability Problem

For the simplest 2-SAT/2-QSAT ensemble the exact boundary that separates SAT and UNSAT instances is found by establishing coincident lower and upper bounds on the extent of the UNSat and SAT regions, respectively.
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Exploration of the stability of many-body localization in d>1

Recent work by De Roeck et al. [Phys. Rev. B 95, 155129 (2017)] has argued that many-body localization (MBL) is unstable in two and higher dimensions due to a thermalization avalanche triggered by…
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Superconductivity of disordered Dirac fermions in graphene

We numerically study the interplay between superconductivity and disorder on the graphene honeycomb lattice with on-site Hubbard attractive interactions $U$ using a spatially inhomogeneous…
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Integrable and Chaotic Dynamics of Spins Coupled to an Optical Cavity

Author(s): Bentsen, G; Potirniche, ID; Bulchandani, VB; Scaffidi, T; Cao, X; Qi, XL; Schleier-Smith, M; Altman, E | Abstract: © 2019 authors. Published by the American Physical Society. Published by…
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On the stability of many-body localization in d>1

Reply to Comment on"Discrete Time Crystals: Rigidity Criticality and Realizations"

This is a reply to the comment from Khemani, Moessner and Sondhi (KMS) [arXiv:2109.00551] on our manuscript [Phys. Rev. Lett. 118, 030401 (2017)]. The main new claim in KMS is that the short-ranged…
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